Publications of Didier Maquin

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AuthorTitleYearJournal/ProceedingsReftypeDOI/URL
El Mountassir, M., Yaacoubi, S., Mourot, G. and Maquin, D. Sparse estimation based monitoring method for damage detection and localization: A case of study 2018 Mechanical Systems and Signal Processing
Vol. 112, pp. 61-76 
article DOI URL 
BibTeX:
@article{elmountassir:hal-01767339,
  author = {El Mountassir, Mahjoub and Yaacoubi, Slah and Mourot, Gilles and Maquin, Didier},
  title = {Sparse estimation based monitoring method for damage detection and localization: A case of study},
  journal = {Mechanical Systems and Signal Processing},
  publisher = {Elsevier},
  year = {2018},
  volume = {112},
  pages = {61-76},
  url = {https://hal.archives-ouvertes.fr/hal-01767339},
  doi = {http://dx.doi.org/10.1016/j.ymssp.2018.04.024}
}
Ichalal, D., Marx, B., Mammar, S., Maquin, D. and Ragot, J. How to cope with unmeasurable premise variables in Takagi-Sugeno observer design: Dynamic extension approach 2018 Engineering Applications of Artificial Intelligence
Vol. 67, pp. 430-435 
article DOI URL 
BibTeX:
@article{ichalal:hal-01609899,
  author = {Ichalal, Dalil and Marx, Benoît and Mammar, Saïd and Maquin, Didier and Ragot, José},
  title = {How to cope with unmeasurable premise variables in Takagi-Sugeno observer design: Dynamic extension approach},
  journal = {Engineering Applications of Artificial Intelligence},
  publisher = {Elsevier},
  year = {2018},
  volume = {67},
  pages = {430-435},
  url = {https://hal.archives-ouvertes.fr/hal-01609899},
  doi = {http://dx.doi.org/10.1016/j.engappai.2017.09.018}
}
Ichalal, D., Marx, B., Maquin, D. and Ragot, J. State estimation of system with bounded uncertain parameters: interval multi-model approach 2018 International Journal of Adaptive Control and Signal Processing
Vol. 32(3), pp. 480-493 
article DOI URL 
BibTeX:
@article{ichalal:hal-01657658,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {State estimation of system with bounded uncertain parameters: interval multi-model approach},
  journal = {International Journal of Adaptive Control and Signal Processing},
  publisher = {Wiley},
  year = {2018},
  volume = {32},
  number = {3},
  pages = {480-493},
  url = {https://hal.archives-ouvertes.fr/hal-01657658},
  doi = {http://dx.doi.org/10.1002/acs.2855}
}
Srinivasarengan, K., Ragot, J., Aubrun, C. and Maquin, D. An adaptive observer design approach for discrete-time nonlinear systems 2018 International Journal of Applied Mathematics and Computer Science
Vol. 28(1), pp. 55-67 
article DOI URL 
BibTeX:
@article{srinivasarengan:hal-01577904,
  author = {Srinivasarengan, Krishnan and Ragot, José and Aubrun, Christophe and Maquin, Didier},
  title = {An adaptive observer design approach for discrete-time nonlinear systems},
  journal = {International Journal of Applied Mathematics and Computer Science},
  publisher = {De Gruyter},
  year = {2018},
  volume = {28},
  number = {1},
  pages = {55-67},
  url = {https://hal.archives-ouvertes.fr/hal-01577904},
  doi = {http://dx.doi.org/10.2478/amcs-2018-0004}
}
Mourot, G., Kallas, M., Anani, K. and Maquin, D. Sparse reconstruction-based contribution for multiple fault 2018 26th Mediterranean Conference on Control and Automation, MED'18  inproceedings URL 
BibTeX:
@inproceedings{mourot:hal-01773623,
  author = {Mourot, Gilles and Kallas, Maya and Anani, Kwami and Maquin, Didier},
  title = {Sparse reconstruction-based contribution for multiple fault},
  booktitle = {26th Mediterranean Conference on Control and Automation, MED'18},
  year = {2018},
  url = {https://hal.archives-ouvertes.fr/hal-01773623}
}
El Mountassir, M., Mourot, G., Yaacoubi, S. and Maquin, D. Damage detection and localization in pipeline using sparse estimation of ultrasonic guided waves signals 2018 10th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess 2018  inproceedings URL 
BibTeX:
@inproceedings{elmountassir:hal-01773620,
  author = {El Mountassir, Mahjoub and Mourot, Gilles and Yaacoubi, Slah and Maquin, Didier},
  title = {Damage detection and localization in pipeline using sparse estimation of ultrasonic guided waves signals},
  booktitle = {10th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess 2018},
  year = {2018},
  url = {https://hal.archives-ouvertes.fr/hal-01773620}
}
El Mountassir, M., Yaacoubi, S., Mourot, G. and Maquin, D. Damage detection and localization in pipelines under non stationary environment variation using sparse estimation of monitoring signals 2018 International Symposium on Structural Health Monitoring and Nondestructive Testing, SHM-NDT 2018  inproceedings URL 
BibTeX:
@inproceedings{elmountassir:hal-01839943,
  author = {El Mountassir, Mahjoub and Yaacoubi, Slah and Mourot, Gilles and Maquin, Didier},
  title = {Damage detection and localization in pipelines under non stationary environment variation using sparse estimation of monitoring signals},
  booktitle = {International Symposium on Structural Health Monitoring and Nondestructive Testing, SHM-NDT 2018},
  year = {2018},
  url = {https://hal.archives-ouvertes.fr/hal-01839943}
}
 
Kallas, M., Mourot, G., Anani, K., Ragot, J. & Maquin, D. Fault detection and estimation using kernel principal component analysis 2017
20th IFAC World Congress, IFAC 2017, IFAC PapersOnLine Vol. 50(1):1025-1030 
inproceedings DOI URL 
BibTeX:
@inproceedings{kallas:hal-01478133,
  author = {Kallas, Maya and Mourot, Gilles and Anani, Kwami and Ragot, José and Maquin, Didier},
  title = {Fault detection and estimation using kernel principal component analysis},
  booktitle = {20th IFAC World Congress, IFAC 2017},
  year = {2017},
  volume = {50},
  number = {1},
  pages = {1025-1030},
  note = {Published in IFAC-PaperOnLine, 50(1):1025-1030},
  url = {https://hal.archives-ouvertes.fr/hal-01478133},
  doi = {http://dx.doi.org/10.1016/j.ifacol.2017.08.212}
}
Srinivasarengan, K., Ragot, J., Maquin, D. & Aubrun, C. An adaptive observer design for Takagi-Sugeno type nonlinear system 2017
20th IFAC World Congress, IFAC 2017, IFAC PapersOnLine Vol. 50(1):826-831 
inproceedings DOI URL 
BibTeX:
@inproceedings{srinivasarengan:hal-01478144,
  author = {Srinivasarengan, Krishnan and Ragot, José and Maquin, Didier and Aubrun, Christophe},
  title = {An adaptive observer design for Takagi-Sugeno type nonlinear system},
  booktitle = {20th IFAC World Congress, IFAC 2017},
  year = {2017},
  volume = {50},
  number = {1},
  pages = {826-831},
  note = {Published in IFAC-PaperOnLine, 50(1):826-831},
  url = {https://hal.archives-ouvertes.fr/hal-01478144},
  doi = {http://dx.doi.org/10.1016/j.ifacol.2017.08.147}
}
Srinivasarengan, K., Ragot, J., Maquin, D. & Aubrun, C. An algorithm for state and parameter estimation through elimination 2017 14th International Workshop on Advanced Control and Diagnosis, ACD 2017  inproceedings URL 
BibTeX:
@inproceedings{srinivasarengan:hal-01637827,
  author = {Srinivasarengan, Krishnan and Ragot, José and Maquin, Didier and Aubrun, Christophe},
  title = {An algorithm for state and parameter estimation through elimination},
  booktitle = {14th International Workshop on Advanced Control and Diagnosis, ACD 2017},
  year = {2017},
  url = {https://hal.archives-ouvertes.fr/hal-01637827}
}
 
Ichalal, D., Marx, B., Ragot, J., Mammar, S. & Maquin, D. Sensor fault tolerant control of nonlinear Takagi-Sugeno systems. Application to vehicle lateral dynamics 2016 International Journal of Robust and Nonlinear Control
Vol. 26(7), pp. 1376-1394 
article DOI URL 
BibTeX:
@article{ichalal:hal-01143716,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Mammar, Saïd and Maquin, Didier},
  title = {Sensor fault tolerant control of nonlinear Takagi-Sugeno systems. Application to vehicle lateral dynamics},
  journal = {International Journal of Robust and Nonlinear Control},
  publisher = {Wiley},
  year = {2016},
  volume = {26},
  number = {7},
  pages = {1376-1394},
  url = {https://hal.archives-ouvertes.fr/hal-01143716},
  doi = {http://dx.doi.org/10.1002/rnc.3355}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State and output feedback control for Takagi--Sugeno systems with saturated actuators 2016 International Journal of Adaptive Control and Signal Processing
Vol. 30(6), pp. 888-905 
article DOI URL 
BibTeX:
@article{bezzaoucha:hal-01248309,
  author = {Bezzaoucha, Souad and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {State and output feedback control for Takagi--Sugeno systems with saturated actuators},
  journal = {International Journal of Adaptive Control and Signal Processing},
  publisher = {Wiley},
  year = {2016},
  volume = {30},
  number = {6},
  pages = {888-905},
  url = {https://hal.archives-ouvertes.fr/hal-01248309},
  doi = {http://dx.doi.org/10.1002/acs.2649}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. A method to avoid the unmeasurable premise variables in observer design for discrete time TS systems 2016 International Conference on Fuzzy Systems, FUZZ-IEEE 2016  inproceedings DOI URL 
BibTeX:
@inproceedings{ichalal:hal-01288326,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {A method to avoid the unmeasurable premise variables in observer design for discrete time TS systems},
  booktitle = {International Conference on Fuzzy Systems, FUZZ-IEEE 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01288326}
}
Srinivasarengan, K., Ragot, J., Maquin, D. & Aubrun, C. Nonlinear joint state-parameter observer for VAV damper position estimation 2016 3rd Conference on Control and Fault-Tolerant Systems, SysTol 2016  inproceedings DOI URL 
BibTeX:
@inproceedings{srinivasarengan:hal-01348153,
  author = {Srinivasarengan, Krishnan and Ragot, José and Maquin, Didier and Aubrun, Christophe},
  title = {Nonlinear joint state-parameter observer for VAV damper position estimation},
  booktitle = {3rd Conference on Control and Fault-Tolerant Systems, SysTol 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01348153}
}
Ichalal, D., Mammar, S. & Ragot, J. Auxiliary dynamics for observer design of nonlinear TS systems with unmeasurable premise variables 2016 4th IFAC International Conference on Intelligent Control and Automation Sciences, ICONS 2016  inproceedings DOI URL 
BibTeX:
@inproceedings{ichalal:hal-01287400,
  author = {Ichalal, Dalil and Mammar, Said and Ragot, José},
  title = {Auxiliary dynamics for observer design of nonlinear TS systems with unmeasurable premise variables},
  booktitle = {4th IFAC International Conference on Intelligent Control and Automation Sciences, ICONS 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01287400}
}
Srinivasarengan, K., Ragot, J., Maquin, D. & Aubrun, C. Takagi-Sugeno model based nonlinear parameter estimation in air handling units 2016 4th IFAC International Conference on Intelligent Control and Automation Sciences, ICONS 2016  inproceedings DOI URL 
BibTeX:
@inproceedings{srinivasarengan:hal-01287395,
  author = {Srinivasarengan, Krishnan and Ragot, José and Maquin, Didier and Aubrun, Christophe},
  title = {Takagi-Sugeno model based nonlinear parameter estimation in air handling units},
  booktitle = {4th IFAC International Conference on Intelligent Control and Automation Sciences, ICONS 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01287395}
}
Marx, B., Ichalal, D., Maquin, D. & Ragot, J. Operating mode recognition. Application to a grinding mill process 2016 17th IFAC Symposium on Control, Optimization and Automation in Mining, Mineral and Metal Processing  inproceedings DOI URL 
BibTeX:
@inproceedings{marx:hal-01305550,
  author = {Marx, Benoît and Ichalal, Dalil and Maquin, Didier and Ragot, José},
  title = {Operating mode recognition. Application to a grinding mill process},
  booktitle = {17th IFAC Symposium on Control, Optimization and Automation in Mining, Mineral and Metal Processing},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01305550}
}
El Mountassir, M., Yaacoubi, S., Mourot, G. & Maquin, D. Studies on data correction of Structural Health Monitoring using ultrasonic guided waves: case of study 2016 8th European Workshop On Structural Health Monitoring, EWSHM 2016  inproceedings URL 
BibTeX:
@inproceedings{mountassir:hal-01340967,
  author = {El Mountassir, Mahjoub and Yaacoubi, Slah and Mourot, Gilles and Maquin, Didier},
  title = {Studies on data correction of Structural Health Monitoring using ultrasonic guided waves: case of study},
  booktitle = {8th European Workshop On Structural Health Monitoring, EWSHM 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01340967}
}
El Mountassir, M., Yaacoubi, S., Ragot, J., Mourot, G. & Maquin, D. Feature selection techniques for identifying the most relevant damage indices in SHM using Guided Waves 2016 8th European Workshop On Structural Health Monitoring, EWSHM 2016  inproceedings URL 
BibTeX:
@inproceedings{mountassir:hal-01340968,
  author = {El Mountassir, Mahjoub and Yaacoubi, Slah and Ragot, José and Mourot, Gilles and Maquin, Didier},
  title = {Feature selection techniques for identifying the most relevant damage indices in SHM using Guided Waves},
  booktitle = {8th European Workshop On Structural Health Monitoring, EWSHM 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01340968}
}
Ragot, J., Marx, B. & Maquin, D. Capteur logiciel pour la détection de changement de mode de fonctionnement 2016 7ème Colloque Interdisciplinaire en Instrumentation, C2i 2016  inproceedings URL 
BibTeX:
@inproceedings{ragot:hal-01251235,
  author = {Ragot, José and Marx, Benoît and Maquin, Didier},
  title = {Capteur logiciel pour la détection de changement de mode de fonctionnement},
  booktitle = {7ème Colloque Interdisciplinaire en Instrumentation, C2i 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01251235}
}
El Mountassir, M., Yaacoubi, S., Mourot, G. & Maquin, D. SVM pour une meilleure classification des données de monitoring par ondes guidées 2016 13e Congrès Francais d'Acoustique, CFA 2016  inproceedings URL 
BibTeX:
@inproceedings{mountassir:hal-01303134,
  author = {El Mountassir, Mahjoub and Yaacoubi, Slah and Mourot, Gilles and Maquin, Didier},
  title = {SVM pour une meilleure classification des données de monitoring par ondes guidées},
  booktitle = {13e Congrès Francais d'Acoustique, CFA 2016},
  year = {2016},
  url = {https://hal.archives-ouvertes.fr/hal-01303134}
}
 
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State constrained tracking control for nonlinear systems 2015 Journal of The Franklin Institute
Vol. 352(7), pp. 2866-2886 
article DOI URL 
BibTeX:
@article{bezzaoucha:hal-01153388,
  author = {Bezzaoucha, Souad and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {State constrained tracking control for nonlinear systems},
  journal = {Journal of The Franklin Institute},
  publisher = {Elsevier},
  year = {2015},
  volume = {352},
  number = {7},
  pages = {2866-2886},
  url = {https://hal.archives-ouvertes.fr/hal-01153388},
  doi = {http://dx.doi.org/10.1016/j.jfranklin.2015.05.003}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Unknown input observers for LPV systems with parameter varying output equation 2015 9th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2015, IFAC PapersOnLine Vol. 48(21):1030-1035  inproceedings DOI URL 
BibTeX:
@inproceedings{ichalal:hal-01132875,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Unknown input observers for LPV systems with parameter varying output equation},
  booktitle = {9th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2015},
  year = {2015},
  volume = {48},
  number = {21},
  pages = {1030-1035},
  url = {https://hal.archives-ouvertes.fr/hal-01132875},
  doi = {http://dx.doi.org/10.1016/j.ifacol.2015.09.662}
}
Kallas, M., Mourot, G., Maquin, D. & Ragot, J. Fault estimation of nonlinear processes using kernel principal component analysis 2015 14th European Control Conference, ECC'15  inproceedings DOI URL 
BibTeX:
@inproceedings{kallas:hal-01135065,
  author = {Kallas, Maya and Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Fault estimation of nonlinear processes using kernel principal component analysis},
  booktitle = {14th European Control Conference, ECC'15},
  year = {2015},
  url = {https://hal.archives-ouvertes.fr/hal-01135065},
  doi = {http://dx.doi.org/10.1109/ECC.2015.7331026}
}
Kallas, M., Mourot, G., Maquin, D. & Ragot, J. Detection, isolation and fault estimation of nonlinear systems using a directional study 2015 12th European Workshop on Advanced Control and Diagnosis, ACD 2015  inproceedings DOI URL 
BibTeX:
@inproceedings{kallas:hal-01221044,
  author = {Kallas, Maya and Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Detection, isolation and fault estimation of nonlinear systems using a directional study},
  booktitle = {12th European Workshop on Advanced Control and Diagnosis, ACD 2015},
  year = {2015},
  url = {https://hal.archives-ouvertes.fr/hal-01221044},
  doi = {http://dx.doi.org/10.1088/1742-6596/659/1/012032}
}
Maquin, D. Proceeding of the 9th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SafeProcess 2015 2015 9th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes SAFEPROCESS 2015. IFAC PapersOnLine Vol. 48(21)  proceedings DOI URL 
BibTeX:
@proceedings{maquin:hal-01217040,
  author = {Maquin, Didier},
  title = {Proceeding of the 9th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SafeProcess 2015},
  booktitle = {9th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes SAFEPROCESS 2015},
  publisher = {Elsevier},
  year = {2015},
  volume = {48},
  number = {21},
  url = {https://hal.archives-ouvertes.fr/hal-01217040},
  doi = {http://dx.doi.org/10.1016/S2405-8963(15)01875-3}
}
 
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Fault detection, isolation and estimation for Takagi-Sugeno nonlinear systems 2014 Journal of The Franklin Institute
Vol. 351(7), pp. 3651-3676 
article DOI URL 
Abstract: This article is dedicated to the problem of fault detection, isolation and estimation for nonlinear systems described by a Takagi-Sugeno (T-S) model. One of the interests of this type of models is the possibility to extend some tools and methods from the linear system case to the nonlinear one. The principle of the proposed strategy is to transform the problem of simultaneously minimizing the perturbation effect and maximizing the fault effect, on the residual vector, in a simple problem of L2-norm minimization. A linear system is used to define the ideal response of the residual signal to the fault. Then the aim is to synthesize a residual generator that both minimizes the difference between real and ideal responses and the influence of the disturbance. The minimization problem is formulated by using the bounded real lemma (BRL) and linear matrix inequality (LMI) formalism. After studying the general framework, a special case of systems with actuator and sensor faults is considered where the fault incidence matrix is not full column rank. Simulation examples are given to illustrate the proposed method. Finally, Polya's theorem is used to reduce the conservatism of the proposed result. The obtained relaxation is also illustrated by a numerical example.
BibTeX:
@article{ichalal:hal-00809844,
  author = {Ichalal, Dalil and Marx, Benoit and Ragot, José and Maquin, Didier},
  title = {Fault detection, isolation and estimation for Takagi-Sugeno nonlinear systems},
  journal = {Journal of The Franklin Institute},
  publisher = {Elsevier},
  year = {2014},
  volume = {351},
  number = {7},
  pages = {3651-3676},
  url = {https://hal.archives-ouvertes.fr/hal-00809844},
  doi = {http://dx.doi.org/10.1016/j.jfranklin.2013.04.012}
}
He, X., Mourot, G., Maquin, D., Ragot, J., Beauseroy, P., Smolarz, A. & Grall-Maës, E. Multi-task learning with one-class SVM 2014 Neurocomputing
Vol. 133, pp. 416-426
article DOI URL 
Abstract: Multi-task learning technologies have been developed to be an effective way to improve the generalization performance by training multiple related tasks simultaneously. The determination of the relatedness between tasks is usually the key to the formulation of a multi-task learning method. In this paper, we make the assumption that when tasks are related to each other, usually their models are close enough, that is, their models or their model parameters are close to a certain mean function. Following this task relatedness assumption, two multi-task learning formulations based on one-class Support Vector Machines (one-class SVM) are presented. With the help of new kernel design, both multi-task learning methods can be solved by the optimization program of a single one-class SVM. Experiments conducted on both low dimensional nonlinear toy dataset and high dimensional textured images show that our approaches lead to very encouraging results.
BibTeX:
@article{he:hal-00915458,
  author = {He, Xiyan and Mourot, Gilles and Maquin, Didier and Ragot, José and Beauseroy, Pierre and Smolarz, André and Grall-Maës, Edith},
  title = {Multi-task learning with one-class SVM},
  journal = {Neurocomputing},
  publisher = {Elsevier},
  year = {2014},
  volume = {133},
  pages = {416-426},
  url = {https://hal.archives-ouvertes.fr/hal-00915458},
  doi = {http://dx.doi.org/10.1016/j.neucom.2013.12.022}
}
Sid, M.A., Aberkane, S., Maquin, D. & Sauter, D. Fault detection of event based control system 2014 22nd Mediterranean Conference on Control and Automation, MED 2014 inproceedings DOI URL 
Abstract: A framework for the joint design of on-line sensor scheduling and fault detection is proposed. First, the synthesis of fault detection filter under any event triggering mechanism is given. The proposed filter can be viewed as a special structure of the Bayesian filter. To demonstrate its performance, this filter is tested under mixed event triggering mechanism designed to satisfy control requirements. A numerical example illustrates the effectiveness of the proposed approach.
BibTeX:
@inproceedings{sid:hal-00994832,
  author = {Sid, Mohamed Amine and Aberkane, Samir and Maquin, Didier and Sauter, Dominique},
  title = {Fault detection of event based control system},
  booktitle = {22nd Mediterranean Conference on Control and Automation, MED 2014},
  year = {2014},
  url = {https://hal.archives-ouvertes.fr/hal-00994832},
  doi = {http://dx.doi.org/10.1109/MED.2014.6961414}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Finite memory state observer design for polytopic systems. Application to sensor fault diagnosis 2014 IEEE Multi-Conference on Systems and Control, MSC 2014 inproceedings DOI URL 
Abstract: The proposed paper addresses the Finite Memory Observer (FMO) design applied to polytopic models. After a brief introduction on FTO for linear systems, the nonlinear models represented in a Takagi-Sugeno (T-S) or Polytopic form are then considered. The considered observer design will be applied to investigate the fault diagnosis for nonlinear discrete-time systems subject to unknown input where joint system states and unknown inputs estimation is proposed.
BibTeX:
@inproceedings{bezzaoucha:hal-01023618,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Finite memory state observer design for polytopic systems. Application to sensor fault diagnosis},
  booktitle = {IEEE Multi-Conference on Systems and Control, MSC 2014},
  year = {2014},
  url = {https://hal.archives-ouvertes.fr/hal-01023618},
  doi = {http://dx.doi.org/10.1109/CCA.2014.6981335}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State tracking control for Takagi-Sugeno models 2014 IEEE Multi-Conference on Systems and Control, MSC 2014  inproceedings DOI URL 
Abstract: The proposed work addresses the model reference tracking control problem. It aims to highlight the encoutered difficulties and the proposed solutions to achieve the tracking objective for nonlinear systems described by Takagi-Sugeno (T-S) models. Different control strategies are exposed. Exact state tracking is proposed and structural conditions for it are given. Approximate state tracking is also studied. The choice of the reference model to be tracked is discussed, as well as the criterion to be minimized to achieve given tracking objectives.
BibTeX:
@inproceedings{bezzaoucha:hal-01023620,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {State tracking control for Takagi-Sugeno models},
  booktitle = {IEEE Multi-Conference on Systems and Control, MSC 2014},
  year = {2014},
  url = {https://hal.archives-ouvertes.fr/hal-01023620},
  doi = {http://dx.doi.org/10.1109/CCA.2014.6981613}
}
Kallas, M., Mourot, G., Maquin, D. & Ragot, J. Diagnosis of nonlinear systems using kernel principal component analysis 2014 11th European Workshop on Advanced Control and Diagnosis, ACD 2014  inproceedings URL 
Abstract: Technological advances in the process industries during the past decade have resulted in increasingly complicated processes, systems and products. Therefore, recent researches consider the challenges in their design and management for successful operation. While principal component analysis (PCA) technique is widely used for diagnosis, its structure cannot describe nonlinear related variables. Thus, an extension to the case of nonlinear systems is presented in a feature space for process monitoring. Working in a high-dimensional feature space, it is necessary to get back to the original space. Hence, an iterative pre-image technique is derived to provide a solution for fault diagnosis. The relevance of the proposed technique is illustrated on artificial and real dataset.
BibTeX:
@inproceedings{kallas:hal-01078401,
  author = {Kallas, Maya and Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Diagnosis of nonlinear systems using kernel principal component analysis},
  booktitle = {11th European Workshop on Advanced Control and Diagnosis, ACD 2014},
  year = {2014},
  url = {https://hal.archives-ouvertes.fr/hal-01078401}
}
Bazart, L., Khelassi, A., Maquin, D., Bèle, B., Ragot, J. & Mouchette, A. Model-based sticker detection in continuous casting 2014 1st European Steel Technology & Application Days and 31ème Journées Sidérurgiques Internationales, 1st ESTAD & 31st JFI, pp. CDROM  inproceedings URL 
Abstract: Many innovations are currently initiated by scientific community in the field of dynamic system diagnosis. Arcelormittal Maizières R&D adapted and evaluated some advanced diagnosis tools for the detection of abnormal events and operating mode changing in steel processes. The developed approach is illustrated and applied to the sticker detection in continuous casting process, where the prevention of breakouts in slabs is a crucial challenge. Results show that it is possible to reduce relatively, the time delay for sticker detection and the false alarms rate without reducing the sticker detection rate. The evaluation of the proposed system on industrial data is encouraging and promising. This adaptable software solution could contribute significantly to improve the supervision and the productivity of the process with low or no investment.
BibTeX:
@inproceedings{bazart:hal-00980985,
  author = {Bazart, Loïc and Khelassi, Ahmed and Maquin, Didier and Bèle, Bertrand and Ragot, José and Mouchette, Alain},
  title = {Model-based sticker detection in continuous casting},
  booktitle = {1st European Steel Technology & Application Days and 31ème Journées Sidérurgiques Internationales, 1st ESTAD & 31st JFI},
  year = {2014},
  url = {https://hal.archives-ouvertes.fr/hal-00980985}
}
 
Sauter, D., Sid, M.A., Aberkane, S. & Maquin, D. Co-design of safe networked control systems 2013 Annual Reviews in Control
Vol. 37(2), pp. 321-332 
article DOI URL 
Abstract: Modeling, analysis and control of networked control systems (NCS) have recently emerged as topics of significant interest to the control community. The defining feature of any NCS is that information is exchanged using digital band-limited serial communication channel among systems components and usually shared by other feedback control loops. Conventional control theory with many ideal assumptions, such as synchronized control and non-delayed sensing and actuation must be revisited so that the limitations on communication capabilities within the control design framework can be integrated. Recent achievements showed that it is possible to solve communication problems and control problems simultaneously, thus contributing to a more efficient NCS design. This paper aims at giving an overview of Fault Diagnosis methods dealing with enhancement of robustness against network induced effects and introducing co-design approaches making it possible to solve communication problems and control problems simultaneously, thus contributing to a more efficient design.
BibTeX:
@article{sauter:hal-00879242,
  author = {Sauter, Dominique and Sid, Mohamed Amine and Aberkane, Samir and Maquin, Didier},
  title = {Co-design of safe networked control systems},
  journal = {Annual Reviews in Control},
  year = {2013},
  volume = {37},
  number = {2 },
  pages = {321-332},
  url = {http://hal.archives-ouvertes.fr/hal-00879242},
  doi = {http://dx.doi.org/10.1016/j.arcontrol.2013.09.010}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Nonlinear joint state and parameter estimation : application to a wastewater treatment plant 2013 Control Engineering Practice
Vol. 21(10), pp. 1377-1385 
article DOI URL 
Abstract: A systematic approach to joint state and time-varying param eter estimation for nonlin- ear systems is proposed in this paper. Applying the sector no nlinearity transformation to both the system nonlinearities and the time-varying para meters, the original system is equivalently rewritten as a Takagi-Sugeno system with un measurable premise vari- ables. A joint state and parameter observer whose parameter s are designed by solving an LMI optimization problem is then proposed. The target app lication is a realistic model of an activated sludge wastewater treatment plant, be ing an uncertain nonlinear system affected by a time-varying parameter.
BibTeX:
@article{bezzaoucha:hal-00831876,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Nonlinear joint state and parameter estimation : application to a wastewater treatment plant},
  journal = {Control Engineering Practice},
  year = {2013},
  volume = {21},
  number = {10 },
  pages = {1377-1385},
  url = {http://hal.archives-ouvertes.fr/hal-00831876},
  doi = {http://dx.doi.org/10.1016/j.conengprac.2013.06.009}
}
Bouarar, T., Marx, B., Maquin, D. & Ragot, J. Fault-tolerant control design for uncertain Takagi-Sugeno systems by trajectory tracking: a descriptor approach 2013 IET Control Theory and Applications
Vol. 7(14), pp. 1793-1805 
article DOI URL 
Abstract: This study considers the problem of fault-tolerant control (FTC) by trajectory tracking for uncertain non-linear system described by Takagi-Sugeno models. The considered faults are constant, exponential or polynomial. The provided results are easily formulated in terms of linear matrix inequalities by employing the descriptor redundancy property. This latter introduces 'virtual' dynamics both in the active FTC control law scheme and in the output error allowing to decouple the gains of the active FTC controller, the observer gain matrices and the system ones. Numerical examples are given to illustrate the efficiency of the proposed approach.
BibTeX:
@article{bouarar:hal-00858239,
  author = {Bouarar, Tahar and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Fault-tolerant control design for uncertain Takagi-Sugeno systems by trajectory tracking: a descriptor approach},
  journal = {IET Control Theory and Applications},
  year = {2013},
  volume = {7},
  number = {14 },
  pages = {1793-1805},
  url = {http://hal.archives-ouvertes.fr/hal-00858239},
  doi = {http://dx.doi.org/10.1049/iet-cta.2011.0524}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Nonlinear system identification using heterogeneous multiple models 2013 International Journal of Applied Mathematics and Computer Science
Vol. 23(1), pp. 103-115 
article DOI URL 
Abstract: Multiple models are recognised by their abilities to accurately describe nonlinear dynamic behaviours of a wide variety of nonlinear systems with a tractable model in control engineering problems. Multiple models are built by the interpolation of a set of submodels according to a particular aggregation mechanism, among them heterogeneous multiple model is of particular interest. This multiple model is characterized by the use of heterogeneous submodels in the sense that their state spaces are not the same and consequently they can be of various dimensions. Thanks to this feature, the complexity of the submodels can be well adapted to the complexity of the nonlinear system introducing flexibility and generality in the modelling stage. This paper deals with the off-line identification of nonlinear systems based on heterogeneous multiple model. Three optimisation criteria (global, local and combined) are investigated to obtain the submodel parameters according to the expected modelling performances. Particular attention is paid to the potential problems encountered in the identification procedure with a special focus on an undesirable phenomenon called no output tracking effect. The origin of this problem is explained and an effective solution is suggested to overcome this problem in the identification task. The abilities of this model are finally illustrated via relevant identification examples showing the effectiveness of the proposed methods.
BibTeX:
@article{orjuela:hal-00753031,
  author = {Orjuela, Rodolfo and Marx, Benoit and Ragot, José and Maquin, Didier},
  title = {Nonlinear system identification using heterogeneous multiple models},
  journal = {International Journal of Applied Mathematics and Computer Science},
  year = {2013},
  volume = {23},
  number = {1 },
  pages = {103-115},
  url = {http://hal.archives-ouvertes.fr/hal-00753031},
  doi = {http://dx.doi.org/10.2478/amcs-2013-0009}
}
BibTeX:
@inproceedings{bezzaoucha:hal-00845838,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {State and multiplicative sensor fault estimation for nonlinear systems},
  booktitle = {2nd International Conference on Control and Fault-Tolerant Systems, SysTol'13},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00845838}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Stabilization of Nonlinear Systems Subject to Uncertainties and Actuator Saturation 2013 American Control Conference, ACC 2013 inproceedings DOI URL 
Abstract: This paper deals with nonlinear systems control with input saturation and parametric uncertainties. The considered nonlinear systems are represented by Takagi-Sugeno models. The proposed controller is a parallel distributed compensation state feedback. Stabilization conditions are derived with the Lyapunov method and expressed as an optimization problem under linear matrix inequality (LMI) constraints. The obtained controller gains depend on the saturation limits. The descriptor approach for modelling is also applied to reduce the number of LMI. An academic example is presented with a comparison between the proposed approach and a conventional controller.
BibTeX:
@inproceedings{bezzaoucha:hal-00782928,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Stabilization of Nonlinear Systems Subject to Uncertainties and Actuator Saturation},
  booktitle = {American Control Conference, ACC 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00782928}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State and Parameter Estimation for Nonlinear Systems: a Takagi-Sugeno Approach 2013 American Control Conference, ACC 2013 inproceedings DOI URL 
Abstract: The main contribution of this paper is to propose a systematic approach to the observers design for nonlinear Takagi-Sugeno (T-S) time-varying systems. The proposed procedure is based on the sector nonlinearity approach using the convex polytopic transformation. It guarantees global convergence for joint state and parameter estimation error and is characterized by the exact rewriting of the original time-varying system into a T-S model.
BibTeX:
@inproceedings{bezzaoucha:hal-00782929,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {State and Parameter Estimation for Nonlinear Systems: a Takagi-Sugeno Approach},
  booktitle = {American Control Conference, ACC 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00782929}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Contribution on the constrained output feedback control 2013 American Control Conference, ACC 2013 inproceedings DOI URL 
Abstract: In this paper, a Takagi-Sugeno model is used to represent the nonlinear behaviour of an actuator with saturation constraint. The control design is based on an output feedback controller (static and dynamic) depending on the saturation levels. Stabilization conditions are derived with the Lyapunov method and expressed in terms of linear matrix inequalities (LMI). Stabilisation conditions are addressed using a descriptor approach for the system modelling. An academic example is also presented with a comparison between different approaches.
BibTeX:
@inproceedings{bezzaoucha:hal-00782932,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Contribution on the constrained output feedback control},
  booktitle = {American Control Conference, ACC 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00782932}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Model Reference Tracking Control for Nonlinear Systems described by Takagi-Sugeno Structure 2013 International Conference on Fuzzy System, FUZZ 2013 inproceedings DOI URL 
Abstract: This work concerns the model reference tracking control problem for nonlinear systems represented by Takagi-Sugeno (T-S) models, with a guaranteed L2 performance to attenuate the tracking error for bounded reference inputs. The objective is to make the system states follow as closely as possible the model reference states. The control scheme is based on a parallel distributed compensation controller fed by a state observer for Takagi-Sugeno systems with unmeasurable premise variables. The observer/controller synthesis is formulated in terms of linear matrix inequalities. Systems with noise output measurments are also envisaged with the use of filter. Simulation example are given to illustrate the design procedures and tracking performance of the proposed approach.
BibTeX:
@inproceedings{bezzaoucha:hal-00812950,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Model Reference Tracking Control for Nonlinear Systems described by Takagi-Sugeno Structure},
  booktitle = {International Conference on Fuzzy System, FUZZ 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00812950}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Stabilization of Nonlinear Systems Subject to Actuator Saturation 2013 International Conference on Fuzzy System, FUZZ 2013 inproceedings DOI URL 
Abstract: This paper adresses the stabilization of nonlinear systems described by Takagi-Sugeno models affected by input actuator saturation. A parallel distributed compensation design is used for the state feedback controller. Stabilization conditions in the sense of the Lyapunov method are derived and expressed as a linear matrix inequality problem. The obtained gains depend on the actuator saturation limits. A cart-pendulum example is presented to illustrate the effectiveness of the proposed approach.
BibTeX:
@inproceedings{bezzaoucha:hal-00812955,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Stabilization of Nonlinear Systems Subject to Actuator Saturation},
  booktitle = {International Conference on Fuzzy System, FUZZ 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00812955}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State and multiplicative sensor fault estimation for nonlinear systems 2013 2nd International Conference on Control and Fault-Tolerant Systems, SysTol'13 inproceedings DOI URL 
Abstract: This paper addresses the state and sensor fault estimation for nonlinear systems represented by Takagi-Sugeno (T-S) models. The considered faults are time-varying and with multiplicative effect on the sensor output signals. The proposed estimation procedure is based firstly on the sector nonlinearity approach using the convex polytopic transformation and secondly on the design of an observer allowing the fault estimation.
Bazart, L., Maquin, D., Khelassi, A., Bèle, B. & Ragot, J. Operating mode recognition: Application in continuous casting 2013 2nd International Conference on Control and Fault-Tolerant Systems, SysTol'13 inproceedings DOI URL 
Abstract: System often has several operating modes that are controlled by the operator to follow a desired change or not in the case of fault occurrence or change due to the environment of the system. The challenge is to be able to know the current operating mode in order to apply the appropriate controls. The aim of this work is to recognize the active mode at any time, and to estimate the switching time between modes. The proposed method is able to detect mode changes without the knowledge of the model parameters characterising each mode. An application in continuous casting illustrates the ability to detect a variation of a friction coefficient.
BibTeX:
@inproceedings{bazart:hal-00846341,
  author = {Bazart, Loic and Maquin, Didier and Khelassi, Ahmed and Bèle, Bertrand and Ragot, José},
  title = {Operating mode recognition: Application in continuous casting},
  booktitle = {2nd International Conference on Control and Fault-Tolerant Systems, SysTol'13},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00846341}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. State and parameter estimation for time-varying systems: a Takagi-Sugeno approach 2013 5th Symposium on System Structure and Control, IFAC Joint Conference 2013 SSSC, TDS, FDA inproceedings DOI URL 
Abstract: The contribution of this paper is to propose a systematic approach to the observer design for linear time-varying systems. It is based on the exact rewriting of the original time-varying system into a polytopic linear model (PLM). This transformation uses the sector nonlinearity approach based on the convex polytopic transformation. Then a joint state and parameter observer can be designed for the PLM and the estimation errors convergence are proved.
BibTeX:
@inproceedings{bezzaoucha:hal-00752160,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {State and parameter estimation for time-varying systems: a Takagi-Sugeno approach},
  booktitle = {5th Symposium on System Structure and Control, IFAC Joint Conference 2013 SSSC, TDS, FDA},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00752160},
  doi = {http://dx.doi.org/10.3182/20130204-3-FR-2033.00106}
}
Maquin, D. Recent advances in fault diagnosis and fault tolerant control for nonlinear systems 2013 3rd International Symposium on Security and Safety of Complex Systems, 2SCS'13  inproceedings URL 
Abstract: Despite a lot of works in the area of fault detection and isolation (FDI) and fault tolerant control (FTC) for nonlinear systems, this research topic remains still active. Indeed, the com-plexity of some theoretical methods allowing the inclusion of nonlinearities is clearly an obstacle to their diffusion and implementation on real processes. The proposed talk is dedicated to the presentation of some recent advances in this area using the so-called Takagi-Sugeno (TS) models (also called time-varying polytopic model or quasi-LPV model). Over the last three decades, the TS modeling framework have attracted a great attention in the control community. After a period of skepticism, justified by the absence of clear demonstrations of these model properties, this type of model is now part of the almost standard tools of control engineers. Indeed, Takagi-Sugeno modeling has proved its effectiveness in the study of nonlinear systems. TS models can be understood as polytopic systems, where the blending between subsystems is time varying according to the so-called weighting functions. Thanks to the convexity of the blending and to the linearity of the subsystems defining the vertices, some results can be established for nonli-near systems, using tools borrowed from the linear theory. In that sense, the stability study and the controller/observer design of nonlinear systems is simplified. The flexibility of that approach will be highlighted through its ability, during the control design, to take into account actuator saturations or, in the diagnosis framework, to estimate simultaneously the state and unknown time-varying parameter of the model.
BibTeX:
@inproceedings{maquin:hal-00914039,
  author = {Maquin, Didier},
  title = {Recent advances in fault diagnosis and fault tolerant control for nonlinear systems},
  booktitle = {3rd International Symposium on Security and Safety of Complex Systems, 2SCS'13},
  year = {2013},
  note = {Plenary Conference},
  url = {http://hal.archives-ouvertes.fr/hal-00914039}
}
Sid, M.A., Aberkane, S., Maquin, D. & Sauter, D. Ordonnancement des mesures pour la détection et la localisation de défautsdans un système contrôlé en réseau 2013 5e Journées Doctorales / Journées Nationales MACS, JD-JN-MACS 2013 inproceedings URL 
Abstract: Ce travail porte sur le problème de détection et d'isolation de défauts multiples sous contraintes de communication. En particulier, nous considérons le problème de la co-conception de l'ordonnancement des tâches de transmission des mesures en provenance des capteurs et de la détection et la localisation des défauts dans le cas de bande passante limitée du média de transmission. Le filtre isolateur proposé est une forme particulière du filtre de Kalman. L'ordonnancement des mesures et le filtre sont calculés pour assurer l'isolabilité des défauts et minimiser la trace de la matrice de covariance de l'erreur d'estimation.
BibTeX:
@inproceedings{aminesid:hal-00922055,
  author = {Sid, Mohamed Amine and Aberkane, Samir and Maquin, Didier and Sauter, Dominique},
  title = {Ordonnancement des mesures pour la détection et la localisation de défautsdans un système contrôlé en réseau},
  booktitle = {5e Journées Doctorales / Journées Nationales MACS, JD-JN-MACS 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00922055}
}
Bazart, L., Maquin, D., Bèle, B., Khelassi, A. & Ragot, J. Détection de changement de mode de fonctionnement 2013 5e Journées Doctorales / Journées Nationales MACS, JD-JN-MACS 2013 inproceedings URL 
Abstract: Un système présente souvent plusieurs modes de fonctionnement qu'ils soient voulus de la part de l'opérateur, pour suivre une modification désirée, ou non dans le cas d'apparition de défaut ou de changement dû à l'environnement du système. Tout l'enjeu est d'être capable de connaitre le mode courant de fonctionnement afin de pouvoir appliquer les commandes adéquates. Le but de ce travail est de reconnaitre le mode actif à chaque instant, ainsi que d'estimer l'instant de commutation entre deux modes. Pour cela, on génère des résidus et on analyse ces derniers au cours du temps afin de détecter les changements de mode.
BibTeX:
@inproceedings{bazart:hal-00922054,
  author = {Bazart, Loic and Maquin, Didier and Bèle, Bertrand and Khelassi, Ahmed and Ragot, José},
  title = {Détection de changement de mode de fonctionnement},
  booktitle = {5e Journées Doctorales / Journées Nationales MACS, JD-JN-MACS 2013},
  year = {2013},
  url = {http://hal.archives-ouvertes.fr/hal-00922054}
}
 
Romo-Vázquez, R., Velez-Perez, H., Ranta, R., Louis-Dorr, V., Maquin, D. & Maillard, L. Blind source separation, wavelet denoising and discriminant analysis for EEG artefacts and noise cancelling 2012 Biomedical Signal Processing and Control
Vol. 7(4 ), pp. 389-400 
article DOI URL 
Abstract: This paper proposes an automatic method for artefact removal and noise elimination from scalp electroencephalogram recordings (EEG). The method is based on blind source separation (BSS) and supervised classification and proposes a combination of classical and news features and classes to improve artefact elimination (ocular, high frequency muscle and ECG artefacts). The role of a supplementary step of wavelet denoising (WD) is explored and the interactions between BSS, denoising and classification are analyzed. The re- sults are validated on simulated signals by quantitative evaluation criteria and on real EEG by medical expertise. The proposed methodology successfully rejected a good percentage of artefacts and noise, while preserving almost all the cerebral activity. The "denoised artefact-free" EEG presents a very good improvement compared with recorded raw EEG: 96% of the EEGs are easier to interpret.
BibTeX:
@article{romovazquez:hal-00600103,
  author = {Romo-Vázquez, Rebeca and Velez-Perez, Hugo and Ranta, Radu and Louis-Dorr, Valérie and Maquin, Didier and Maillard, Louis},
  title = {Blind source separation, wavelet denoising and discriminant analysis for EEG artefacts and noise cancelling},
  journal = {Biomedical Signal Processing and Control},
  year = {2012},
  volume = {7},
  number = {4 },
  pages = {389-400},
  url = {http://hal.archives-ouvertes.fr/hal-00600103},
  doi = {http://dx.doi.org/10.1016/j.bspc.2011.06.005}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. New fault tolerant control strategies for nonlinear Takagi-Sugeno systems 2012 International Journal of Applied Mathematics and Computer Science
Vol. 22(1 ), pp. 197-210 
article DOI URL 
Abstract: New methodologies for Fault Tolerant Control (FTC) are proposed in order to compensate actuator faults in nonlinear systems. These approaches are based on the representation of the nonlinear system by a Takagi-Sugeno model. Two control laws are proposed requiring simultaneous estimation of the system states and of the occurring actuator faults. The first approach concerns the stabilization problem in the presence of actuator faults. In the second, the system state is forced to track a reference trajectory even in faulty situation. The control performance depends on the estimation quality; indeed, it is important to accurately and rapidly estimate the states and the faults. This task is then performed with an Adaptive Fast State and Fault Observer (AFSFO) for the first case, and a Proportional-Integral Observer (PIO) in the second. Stability conditions are established with Lyapunov theory and expressed in a Linear Matrix Inequality (LMI) formulation to ease the design of FTC. Furthermore, relaxed stability conditions are given with the use of Polya's theorem. Some simulation examples are given in order to illustrate the proposed approaches.
BibTeX:
@article{ichalal:hal-00679497,
  author = {Ichalal, Dalil and Marx, Benoit and Ragot, José and Maquin, Didier},
  title = {New fault tolerant control strategies for nonlinear Takagi-Sugeno systems},
  journal = {International Journal of Applied Mathematics and Computer Science},
  year = {2012},
  volume = {22},
  number = {1 },
  pages = {197-210},
  url = {http://hal.archives-ouvertes.fr/hal-00679497},
  doi = {http://dx.doi.org/10.2478/v10006-012-0015-8}
}
Ichalal, D., Marx, B., Mammar, S., Maquin, D. & Ragot, J. Observer for Lipschitz nonlinear systems: mean value theorem and sector nonlinearity transformation 2012 IEEE Multi-Conference on Systems and Control, MSC 2012 inproceedings DOI URL 
Abstract: In this paper, the problem of observer design for nonlinear Lipschitz systems is treated. An emphasis is put on maximizing the admissible Lipschitz constant for which the observer design is possible. This problem is tackled using a Takagi-Sugeno modeling approach. The idea is to re-write the state estimation error dynamics as an autonomous Takagi- Sugeno system, using the Mean Value Theorem and the sector nonlinearity transformation. The stability of the state estimation error is studied with the Lyapunov theory by using a non- quadratic Lyapunov function and by computing its variation between m consecutive samples. The interest of these manip- ulations is to obtain LMI conditions admitting solutions for large values of the Lipschitz constant. Finally, two examples are provided in order to hilight the performances of the proposed approach.
BibTeX:
@inproceedings{ichalal:hal-00702669,
  author = {Ichalal, Dalil and Marx, Benoit and Mammar, Said and Maquin, Didier and Ragot, José},
  title = {Observer for Lipschitz nonlinear systems: mean value theorem and sector nonlinearity transformation},
  booktitle = {IEEE Multi-Conference on Systems and Control, MSC 2012},
  year = {2012},
  url = {http://hal.archives-ouvertes.fr/hal-00702669}
}
Sid, M.A., Aberkane, S., Sauter, D. & Maquin, D. Fault isolation filter and sensors scheduling co-design for networked control systems 2012 IEEE Multi-Conference on Systems and Control, MSC 2012 inproceedings DOI URL 
Abstract: This paper addresses the problem of multiple fault detection and isolation under communication constraints. More specifically, we consider the issue of sensor scheduling and fault isolation co-design under limited bandwidth capacity. The proposed isolation filter can be viewed as special structure of the traditional Kalman filter. The sensor scheduling sequence and the proposed filter are built in order to ensure the fault isolability property and noise effect minimization.
BibTeX:
@inproceedings{sid:hal-00702667,
  author = {Sid, Mohamed Amine and Aberkane, Samir and Sauter, Dominique and Maquin, Didier},
  title = {Fault isolation filter and sensors scheduling co-design for networked control systems},
  booktitle = {IEEE Multi-Conference on Systems and Control, MSC 2012},
  year = {2012},
  url = {http://hal.archives-ouvertes.fr/hal-00702667}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. Nonlinear observer based sensor fault tolerant control for nonlinear systems 2012 8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SAFEPROCESS 2012 inproceedings DOI URL 
Abstract: This paper deals with the problem of sensor fault tolerant control for Takagi-Sugeno nonlinear systems. Firstly, a residual generator is designed in order to detect and isolate sensor faults. Secondly, a nonlinear observer based controller, adopting the so-called parallel distributed compensation (PDC) structure is designed. The PDC controller is based on a weighted blending of the estimated states provided by different observers. Each observer is constructed to estimate the system state from the inputs and only one output. The blending of the estimates depends on the residual magnitudes in order to minimize the use of faulty estimates in the control law. The stability of the global closed-loop system is studied by Lyapunov theory and the gains of the fault tolerant controller are obtained by solving Linear Matrix Inequalities (LMI). Numerical examples are provided.
BibTeX:
@inproceedings{ichalal:hal-00684702,
  author = {Ichalal, Dalil and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Nonlinear observer based sensor fault tolerant control for nonlinear systems},
  booktitle = {8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SAFEPROCESS 2012},
  year = {2012},
  url = {http://hal.archives-ouvertes.fr/hal-00684702}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Advances in observer design for Takagi-Sugeno systems with unmeasurable premise variables 2012 20th Mediterranean Conference on Control and Automation, MED 2012 inproceedings DOI URL 
Abstract: This paper proposes a new approach of observer design for nonlinear systems described by a Takagi-Sugeno model. Its main contribution concerns models with premise variables depending on the system states which are completely or partially unknown. This case is more difficult than when the premise variables are known or measured. Indeed, in that case, weighting functions of the observer depend on state estimates and the state estimation error is then governed by a Lipschitz nonlinear system. Here, two mains results are established. Firstly, relaxed stability conditions guaranteeing asymptotic stability of the observer by using a polyquadratic Lyapunov function are provided. This aims to reduce the conservativeness compared to the existing works and enhance the maximal admissible Lipschitz constant for which the linear matrix inequality (LMI) conditions are feasible. Secondly, the Input-to-State Stability concept combined to a polyquadratic Lyapunov function are used for guaranteeing a bounded state estimation error which relaxes the conservativeness related to the Lipschitz constant. The robustness aspect is dealt with respect to some bounded modeling uncertainties and additive bounded perturbations. The stability conditions are expressed in terms of LMI.
BibTeX:
@inproceedings{ichalal:hal-00684701,
  author = {Ichalal, Dalil and Marx, Benoit and Ragot, José and Maquin, Didier},
  title = {Advances in observer design for Takagi-Sugeno systems with unmeasurable premise variables},
  booktitle = {20th Mediterranean Conference on Control and Automation, MED 2012},
  year = {2012},
  pages = {848-853},
  url = {http://hal.archives-ouvertes.fr/hal-00684701},
  doi = {http://dx.doi.org/10.1109/MED.2012.6265744}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. Linear feedback control input under actuator saturation: a Takagi-Sugeno approach 2012 2nd International Conference on Systems and Control, ICSC 2012 inproceedings URL 
Abstract: In this paper, the Takagi-Sugeno representation is used to represent the nonlinear behaviour of a saturated actuator. The control design is based on a state feedback controller function of the saturation levels. Stabilization conditions in the sense of Lyapunov method are derived and expressed as a linear matrix inequality problem. An academic example is presented with a comparaison between the proposed approach and a conventional anti-windup controller.
BibTeX:
@inproceedings{bezzaoucha:hal-00687739,
  author = {Bezzaoucha, Souad and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Linear feedback control input under actuator saturation: a Takagi-Sugeno approach},
  booktitle = {2nd International Conference on Systems and Control, ICSC 2012},
  year = {2012},
  url = {http://hal.archives-ouvertes.fr/hal-00687739}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. Observer design for state and clinker hardness estimation in cement mill 2012 IFAC Workshop on Automation in Mining, Mineral and Metal Industries, MMM 2012 inproceedings URL 
Abstract: This paper addresses a solution to state and clinker hardness estimation in industrial cement mill process. A Takagi-Sugeno model with unmeasurable premise variables is developed for the nonlinear model of a cement mill. Bsed on this model, a nonlinear observer is proposed in order to estimate the state variables and also the clinker hardness, which is an unknown input of the process. The convergence of the estimation error is studied using the Lyapunov theory and the input-to-state stability (ISS) approach. An optimization problem with LMI constraints is then provided for the synthesis of this observer. Finally, simulation results and some discussions about the robustness of the observer are given.
BibTeX:
@inproceedings{ichalal:hal-00690224,
  author = {Ichalal, Dalil and Marx, Benoit and Maquin, Didier and Ragot, José},
  title = {Observer design for state and clinker hardness estimation in cement mill},
  booktitle = {IFAC Workshop on Automation in Mining, Mineral and Metal Industries, MMM 2012},
  year = {2012},
  url = {http://hal.archives-ouvertes.fr/hal-00690224}
}
 
Kheder, A., Ben Othman, K., Maquin, D. & Benrejeb, M. Sensor fault estimation for nonlinear systems described by multiple models 2011 Transactions on Systems, Signals & Devices article URL 
Abstract: This paper deals with the problem of sensor fault estimation for linear and nonlinear systems. Thanks to the introduction of an augmented generalized state vector, including the original state vector and a filtered output of the system, the sensor fault appears as an unknown input. Therefore, an adaptive proportional integral observer is used to estimate simultaneously the state of the system and the unknown input. In order to provide some robustness properties, the disturbance effect on the state and fault estimation errors is minimized in an L2 framework. State and sensor fault estimation is firstly presented for linear systems and is next extended to nonlinear systems described by Takagi- Sugeno models.
BibTeX:
@article{KHEDER:2011:HAL-00548129:1,
  author = {Kheder, Atef and Ben Othman, Kamel and Maquin, Didier and Benrejeb, Mohamed},
  title = {Sensor fault estimation for nonlinear systems described by multiple models},
  journal = {Transactions on Systems, Signals & Devices},
  year = {2011},
  volume = {6},
  number = {1 },
  pages = {49-66},
  url = {http://hal.archives-ouvertes.fr/hal-00548129/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. On observer design for nonlinear Takagi-Sugeno systems with unmeasurable premise variable 2011 4th International Symposium on Advanced Control of Industrial Processes, Adconip 2011 inproceedings URL 
Abstract: In this paper, we propose a method for state estimation of nonlinear systems represented by Takagi-Sugeno (T-S) models with unmeasurable premise variables. The main result is established using the differential mean value theorem which provides a T-S representation of the differential equation generating the state estimation error. This allows to extend some results obtained in the case of measurable premise variables to the unmeasurable one. Using the Lyapunov theory, stability conditions are obtained and expressed in term of linear matrix inequalities. Furthermore, an extension for observer design with disturbance attenuation performance is proposed. Finally, this approach is illustrated on a DC series motor and compared to the existing approaches.
BibTeX:
@inproceedings{ICHALAL:2011:HAL-00545702:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {On observer design for nonlinear Takagi-Sugeno systems with unmeasurable premise variable},
  booktitle = {4th International Symposium on Advanced Control of Industrial Processes, Adconip 2011},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00545702/en/}
}
Bouarar, T., Marx, B., Maquin, D. & Ragot, J. Fault tolerant tracking control for continuous Takagi-Sugeno systems with time varying faults 2011 19th Mediterranean Conference on Control and Automation, MED'11 inproceedings DOI URL 
Abstract: This paper deals with Fault Tolerant Control design for continuous nonlinear Takagi-Sugeno faulty systems. The goal is to ensure both state and fault estimation and the state reference tracking even if faults occur. In this study, the faults affecting the system behavior are considered as time varying functions modeled by exponential functions or first order polynomials. Based on descriptor redundancy property, solutions are proposed for both cases, exponential and polyno- mial faults, in terms of Linear Matrix Inequalities (LMI). In order to illustrate the applicability and the effectiveness of the proposed approaches, numerical examples are considered.
BibTeX:
@inproceedings{BOUARAR:2011:HAL-00593396:1,
  author = {Bouarar, Tahar and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {Fault tolerant tracking control for continuous Takagi-Sugeno systems with time varying faults},
  booktitle = {19th Mediterranean Conference on Control and Automation, MED'11},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00593396/en/}
}
Bouarar, T., Marx, B., Maquin, D. & Ragot, J. Trajectory tracking fault tolerant controller design for Takagi-Sugeno systems subject to actuator faults 2011 International Conference on Communications, Computing and Control Applications, CCCA'11 inproceedings DOI URL 
Abstract: This paper investigates the problem of fault tolerant control (FTC) design for nonlinear Takagi-Sugeno (T-S) models with measurable premise variables. The idea is to synthesize a fault tolerant controller ensuring state trajectory tracking. Based on Lyapunov theory, new less conservative approaches are proposed in term of Linear Matrix Inequality (LMI). A PI observer is needed to estimate simultaneously the faults and the faulty system states in order to reconfigure the FTC law. A numerical example is considered to compare the conservatism of the proposed FTC approaches with the existing one and to illustrate the effectiveness of the FTC technique vs. the classical controller design methodology.
BibTeX:
@inproceedings{BOUARAR:2011:HAL-00567360:1,
  author = {Bouarar, Tahar and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {Trajectory tracking fault tolerant controller design for Takagi-Sugeno systems subject to actuator faults},
  booktitle = {International Conference on Communications, Computing and Control Applications, CCCA'11},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00567360/en/}
}
Bouarar, T., Marx, B., Maquin, D. & Ragot, J. Design of fault tolerant control for nonlinear systems subject to time varying faults 2011 Annual Conference of the European Safety and Reliability Association, ESREL 2011 inproceedings URL 
Abstract: In this paper, a Fault Tolerant Control (FTC) problem for discrete time nonlinear systems rep- resented by Takagi-Sugeno (T-S) models is investigated. The goal is to design a fault tolerant controller taking into account the faults affecting the overall system behavior in order to ensure the system stability. The principal idea is to introduce a Proportional Integral (PI) observer to detect and to estimate an eventual fault occuring in the system. Based on Lyapunov theory, two new approaches are proposed in term of Linear Matrix Inequalities (LMI) leading to synthesize an FTC laws ensuring the tracking between the reference model states and the faulty system ones. These results concern the case of time varying faults modeled by exponential function and first order plynomial. To illustate the effectiveness of the proposed approaches, an academic example is considered.
BibTeX:
@inproceedings{BOUARAR:2011:HAL-00593398:1,
  author = {Bouarar, Tahar and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {Design of fault tolerant control for nonlinear systems subject to time varying faults},
  booktitle = {Annual Conference of the European Safety and Reliability Association, ESREL 2011},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00593398/en/}
}
He, X., Mourot, G., Maquin, D., Beauseroy, P., Smolarz, A. & Ragot, J. One-class SVM in multi-task learning 2011 Annual Conference of the European Safety and Reliability Association, ESREL 2011 inproceedings URL 
Abstract: Multi-Task Learning (MTL) has become an active research topic in recent years. While most machine learning methods focus on the learning of tasks independently, multi-task learning aims to improve the generalization performance by training multiple related tasks simultaneously. This paper presents a new approach to multi-task learning based on one-class Support Vector Machine (one-class SVM). In the proposed approach, we first make the assumption that the model parameter values of different tasks are close to a certain mean value. Then, a number of one-class SVMs, one for each task, are learned simultaneously. Our multi-task approach is easy to implement since it only requires a simple modification of the optimization problem in the single one-class SVM. Experimental results demonstrate the effectiveness of the proposed approach.
BibTeX:
@inproceedings{HE:2011:HAL-00593397:1,
  author = {He, Xiyan and Mourot, Gilles and Maquin, Didier and Beauseroy, Pierre and Smolarz, André and Ragot, José},
  title = {One-class SVM in multi-task learning},
  booktitle = {Annual Conference of the European Safety and Reliability Association, ESREL 2011},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00593397/en/}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. On the unknown input observer design: a decoupling class approach 2011 9th IEEE International Conference on Control & Automation, ICCA11 inproceedings URL 
Abstract: This paper deals with state estimation for linear discrete-time systems subject to unknown input. Although many papers have dealt with the problem of Unknown Input Observer design, state decoupling and reconstruction; the goal is to present a new method allowing to characterize a class of unknown inputs to which the estimation error is decoupled. This contribution considers two problems : exact decoupling and L2-attenuation of the unknown input to the state estimation error.
BibTeX:
@inproceedings{BEZZAOUCHA:2011:HAL-00650398:1,
  author = {Bezzaoucha, Souad and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {On the unknown input observer design: a decoupling class approach},
  booktitle = {9th IEEE International Conference on Control & Automation, ICCA11},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00650398/en/}
}
Bezzaoucha, S., Marx, B., Maquin, D. & Ragot, J. On the unknown input observer design : a decoupling class approach with application to sensor fault diagnosis 2011 First International Conference on Automation and Mechatronics, CIAM'2011 inproceedings URL 
Abstract: This paper addresses fault diagnosis for observer based residual generators for linear discrete-time systems subject to unknown input. The proposed approach is a new method allowing to characterize a class of unknown inputs from which the estimation error is decoupled. This contribution is divided into two parts. The first one concerns the design of the UIO satisfying either an exact decoupling or an L2-attenuation of the unknown input to the state estimation error. The second part is dedicated to the implementation of a bank of such observers for sensor fault detection and isolation.
BibTeX:
@inproceedings{BEZZAOUCHA:2011:HAL-00630390:1,
  author = {Bezzaoucha, Souad and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {On the unknown input observer design : a decoupling class approach with application to sensor fault diagnosis},
  booktitle = {First International Conference on Automation and Mechatronics, CIAM'2011},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00630390/en/}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. Fault tolerant control for nonlinear systems subject to different types of sensor faults 2011 PAPYRUS Workshop on Fault Diagnosis and Fault Tolerant Control in large scale processing industries inproceedings URL 
Abstract: This paper deals with the problem of fault tolerant control of nonlinear systems represented by Takagi-Sugeno models subject to sensor faults. Observer based controllers are designed for each faulty-situation (mode). The classical switching law is replaced by a new mechanism which avoid the switching phenomenon. The purpose is to be able to study the stability of the global closed-loop system. This new mechanism uses the residual signals obtained by a residual generator. A bank of observers is designed and each observer uses only one output. Each observer based controller is designed using the estimated state provided by the corresponding observer. Finally, the control law is constructed from these different controllers by using smooth weighting functions depending on the residual signals and satisfying the convex sum property. This last allows to study the stability of the closed-loop system by Lyapunov theory and the tools developed for Takagi-Sugeno systems. Linear Matrix Inequality (LMI) conditions are then proposed to ease the design of a such fault tolerant controller.
BibTeX:
@inproceedings{ICHALAL:2011:HAL-00639357:1,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {Fault tolerant control for nonlinear systems subject to different types of sensor faults},
  booktitle = {PAPYRUS Workshop on Fault Diagnosis and Fault Tolerant Control in large scale processing industries},
  year = {2011},
  url = {http://hal.archives-ouvertes.fr/hal-00639357/en/}
}
 
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. State estimation of Takagi-Sugeno systems with unmeasurable premise variables 2010 IET Control Theory and Applications   article DOI URL  
Abstract: This study is dedicated to the design of observers for non-linear systems described by Takagi-Sugeno (T-S) multiple models with unmeasurable premise variables. Furthermore, this T-S structure can represent a larger class of non-linear systems compared to the T-S systems with measurable premise variables. Considering the state of the system as a premise variable allows one to exactly represent the non-linear systems described by the general form x-dot =f(x, u). Unfortunately, the developed methods for estimating the state of T-S systems with measured premise variable are not directly applicable for the systems that use the state as a premise variable. In the present paper, firstly, the design of observers for T-S systems with unmeasurable premise variable is proposed and sufficient convergence conditions are established by Lyapunov stability analysis. The linear matrix inequality (LMI) formalism is used in order to express the convergence conditions of the state estimation error in terms of LMI and to obtain the gains of the observer. Secondly, the proposed method is extended in order to attenuate energy-bounded unknown inputs such as disturbances. An academic example is proposed to compare some existing methods and the proposed one.
BibTeX:
@article{ICHALAL:2010:HAL-00482061:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { State estimation of Takagi-€“Sugeno systems with unmeasurable premise variables},
  journal = {IET Control Theory and Applications },
  year = {2010},
  volume = {4 },
  number = {5 },
  pages = {897-908 },
  url = {http://hal.archives-ouvertes.fr/hal-00482061/en/},
  doi = {http://dx.doi.org/10.1049/iet-cta.2009.0054}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Fault Tolerant Control for Takagi-Sugeno systems with unmeasurable premise variables by trajectory tracking 2010 IEEE International Symposium on Industrial Electronics, ISIE 2010 inproceedings DOI URL  
Abstract: This paper presents a new method for fault tolerant control of nonlinear systems described by Takagi-Sugeno fuzzy systems with unmeasurable premise variables. The idea is to use a reference model and design a new control law to minimize the state deviation between a healthy reference model and the eventually faulty actual model. This scheme requires the knowledge of the system states and of the occurring faults. These signals are estimated from a Proportional-Integral Observer (PIO) or Proportional-Multi- Integral Observer (PMIO). The fault tolerant control law is designed by using the Lyapunov method to obtain conditions which are given in Linear Matrix Inequality formulation (LMI). Finally, an example is included.
BibTeX:
@inproceedings{ICHALAL:2010:HAL-00465573:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { Fault Tolerant Control for Takagi-Sugeno systems with unmeasurable premise variables by trajectory tracking},
  booktitle = {IEEE International Symposium on Industrial Electronics, ISIE 2010 },
  year = {2010},
  url = {http://hal.archives-ouvertes.fr/hal-00465573/en/},
  doi = {http://dx.doi.org/10.1109/ISIE.2010.5637766}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Observer based actuator fault tolerant control for nonlinear Takagi-Sugeno systems : an LMI approach 2010 18th Mediterranean Conference on Control and Automation, MED'10 inproceedings URL  
Abstract: A new actuator fault tolerant control strategy is proposed in this paper for nonlinear Takagi-Sugeno (T-S) systems. The control law aims to compensate the actuator faults and allows the system states to track a reference states corresponding to the output of the system in the fault free situation. The design of such a control law requires the knowledge of the faults, this task is achieved with a proportional integral observer (PIO). The robust stability of the system with the fault tolerant control law is analyzed with Lyapunov theory and L2 optimization. Sufficient stability conditions are obtained in terms of linear matrix inequalities (LMIs). The gains of the FTC are obtained by solving these LMIs. A simulation example is finally proposed.
BibTeX:
@inproceedings{ICHALAL:2010:HAL-00497790:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { Observer based actuator fault tolerant control for nonlinear Takagi-Sugeno systems : an LMI approach},
  booktitle = {18th Mediterranean Conference on Control and Automation, MED'10 },
  year = {2010},
  url = {http://hal.archives-ouvertes.fr/hal-00497790/en/}
}
Kheder, A., Benothman, K., Benrejeb, M. & Maquin, D. Adaptive observer for fault estimation in nonlinear systems described by a Takagi-Sugeno model 2010 18th Mediterranean Conference on Control and Automation, MED'10 inproceedings URL  
Abstract: This paper deals with the problem of fault estimation for linear and nonlinear systems. An adaptive proportional integral observer is designed to estimate both the system state and sensor and actuator faults which can affect the system. The model of the system is first augmented in such a manner that the original sensor faults appear as actuator faults in this new model. The faults are then considered as unknown inputs and are estimated using a classical proportional-integral observer. The proposed method is first developed for linear systems and is then extended to nonlinear ones that can be represented by a Takagi-Sugeno model. In the two cases, examples of low dimensions illustrate the effectiveness of the proposed method.
BibTeX:
@inproceedings{KHEDER:2010:HAL-00497786:1,
  author = {Kheder, Atef and Benothman, Kamel and Benrejeb, Mohamed and Maquin, Didier},
  title = { Adaptive observer for fault estimation in nonlinear systems described by a Takagi-Sugeno model},
  booktitle = {18th Mediterranean Conference on Control and Automation, MED'10 },
  year = {2010},
  url = {http://hal.archives-ouvertes.fr/hal-00497786/en/}
}
Marx, B., Maquin, D. & Ragot, J. State estimation and diagnosis of uncertain systems based on an interval approach 2010 Conference on Control and Fault-Tolerant Systems, SysTol'10 inproceedings DOI URL  
Abstract: This paper deals with state estimation and fault detection in the presence of unknown but bounded state perturbations and measurement noise. In this context, most available results are for linear models. Based on interval analysis, a state estimator for nonlinear dynamical systems is presented. Given the perturbation and noise bounds, the proposed method evaluates a set estimate guaranteed to contain all values of the state that are consistent with the available observations. The estimator is then used to regime shift detection. A numerical example is given.
BibTeX:
@inproceedings{MARX:2010:HAL-00525124:1,
  author = {Marx, Benoît and Maquin, Didier and Ragot, José},
  title = { State estimation and diagnosis of uncertain systems based on an interval approach},
  booktitle = {Conference on Control and Fault-Tolerant Systems, SysTol'10 },
  year = {2010},
  url = {http://hal.archives-ouvertes.fr/hal-00525124/en/},
  doi = {http://dx.doi.org/10.1109/SYSTOL.2010.5676036}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Fault diagnosis for nonlinear systems represented by heterogeneous multiple models 2010 Conference on Control and Fault-Tolerant Systems, SysTol'10 inproceedings DOI URL  
Abstract: This paper proposes two observer-based FDI strategies for nonlinear systems represented by a particular class of multiple model using heterogeneous submodels. The structure of this interesting multiple model is firstly presented in order to design two kinds of state observers. The first observer, known as proportional observer (PO), is an extension of the classic Luenberger observer, in this way, it can be used to obtain an estimation of the system state. The second proposed observer, known as proportional-integral observer (PIO), makes it possible the simultaneous state and unknown input (e.g. a fault) estimation of the system under investigation. The convergence towards zero of the estimation errors provided by these observers is investigated with the help of the Lyapunov method. The P observer as well as the PI observer are employed in a FDI strategy in order to accomplish the detection, the localisation and eventually the estimation of sensor faults acting on the system. These two strategies are finally validated in simulation by considering a simplified model of a bioreactor.
BibTeX:
@inproceedings{ORJUELA:2010:HAL-00525236:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { Fault diagnosis for nonlinear systems represented by heterogeneous multiple models},
  booktitle = {Conference on Control and Fault-Tolerant Systems, SysTol'10 },
  year = {2010},
  url = {http://hal.archives-ouvertes.fr/hal-00525236/en/},
  doi = {http://dx.doi.org/10.1109/SYSTOL.2010.5675969}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. New fault tolerant control strategy for nonlinear systems with multiple model approach 2010 Conference on Control and Fault-Tolerant Systems, SysTol'10 inproceedings DOI URL  
Abstract: This paper addresses a new methodology to construct a fault tolerant control (FTC) in order to compensate actuator faults in nonlinear systems. This approach is based on the representation of the nonlinear model with a multiple model under Takagi-Sugeno's form. The proposed control requires a simultaneous estimation of the system states and of the occurring actuator faults. The performance of the control depends on the quality of the estimations, indeed, it is important to estimate accurately and rapidly the states and the faults. This task is then performed with an Adaptive Fast State and Fault Observer (AFSFO). The stability conditions are established with Lyapunov theory and expressed in linear matrix inequality formulation to ease the design of the FTC. Furthermore, relaxed stability conditions are given with the use of the Polya's theorem.
BibTeX:
@inproceedings{ICHALAL:2010:HAL-00525121:1,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = { New fault tolerant control strategy for nonlinear systems with multiple model approach},
  booktitle = {Conference on Control and Fault-Tolerant Systems, SysTol'10  },
  year = {2010},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00525121/en/},
  doi = {http://dx.doi.org/10.1109/SYSTOL.2010.5675951}
}
Kheder, A., Benothman, K., Maquin, D. & Benrejeb, M. An approach of faults estimation in Takagi-Sugeno fuzzy systems 2010 8th ACS/IEEE International Conference on Computer Systems and Applications, AICCSA-10 inproceedings DOI URL  
Abstract: In this work, the problem of fault detection and identification in systems described by Takagi-Sugeno fuzzy systems is studied. A proportional integral observer is conceived in order to reconstruct state and faults which can affect the system. In order to estimate actuator and sensor faults, a mathematical transformation is made to conceive an augmented system, in which the initial sensor fault appears as an unknown input. Considering actuator fault as an unknown input, one can use a method of estimation of unknown inputs. The noise effect on the state and fault estimation is also minimized.
BibTeX:
@inproceedings{KHEDER:2010:HAL-00475406:1,
  author = {Kheder, Atef and Benothman, Kamel and Maquin, Didier and Benrejeb, Mohamed},
  title = { An approach of faults estimation in Takagi-Sugeno fuzzy systems},
  booktitle = {8th ACS/IEEE International Conference on Computer Systems and Applications, AICCSA-10 },
  year = {2010},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00475406/en/},
  doi = {http://dx.doi.org/10.1109/AICCSA.2010.5586970}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Diagnostic des systèmes non linéaires par une approche multimodèle 2010 Sixième Conférence Internationale Francophone d'Automatique, CIFA 2010 inproceedings URL  
Abstract: Cet article propose deux stratégies de diagnostic à base d'observateurs pour des systèmes non linéaires représentés par une classe particulière de multimodèle nommée multimodèle découplé. Dans un premier temps, la structure du multimodèle découplé est présentée puis mise à profit afin de concevoir deux sortes d'observateurs. La première, dite à gain proportionnel (P), permet d'effectuer une estimation de l'état du système alors que la deuxième, dite à gain proportionnel-intégral (PI), rend possible l'estimation simultanée de l'état et des entrées inconnues agissant sur le système (p. ex. un défaut). La convergence de l'erreur d'estimation des deux observateurs est étudiée à l'aide de la méthode de Lyapunov. Dans un deuxième temps, les observateurs P et PI sont exploités en vue de générer des indicateurs de défauts permettant d'accomplir les tâches de détection, de localisation et éventuellement d'estimation des défauts de capteur. Ces stratégies de diagnostic sont illustrées en considérant le modèle simplifié d'un bioréacteur, un procédé de nature non linéaire largement répandu dans l'industrie chimique.
BibTeX:
@inproceedings{ORJUELA:2010:HAL-00465574:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { Diagnostic des systèmes non linéaires par une approche multimodèle},
  booktitle = {Sixième Conférence Internationale Francophone d'Automatique, CIFA 2010 },
  year = {2010},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00465574/en/}
}
Kheder, A., Ben Othman, K., Benrejeb, M. & Maquin, D. Fault tolerant control for nonlinear systems described by Takagi-Sugeno models 2010 8ème Conférence Internationale de Modélisation et Simulation, MOSIM'10 inproceedings URL  
Abstract: In this paper the problem of active fault tolerant control (FTC) in noisy systems is studied. The proposed FTC strategy is based on the known of the fault estimate and the error between the faulty system state and a reference system state. A proportional integral observer is used in order to estimate the state and the actuator faults. The obtained results are then extended to nonlinear systems described by nonlinear Takagi-Sugeno models. The problem of conception of the proportional integral observer and the FTC strategy is formulated in linear matrix inequalities (LMI) which can be solved easily. Simulation examples are given to illustrate the proposed method for the linear and nonlinear systems.
BibTeX:
@inproceedings{KHEDER:2010:HAL-00479806:1,
  author = {Kheder, Atef and Ben Othman, Kamel and Benrejeb, Mohamed and Maquin, Didier},
  title = { Fault tolerant control for nonlinear systems described by Takagi-Sugeno models},
  booktitle = {8ème Conférence Internationale de Modélisation et Simulation, MOSIM'10 },
  year = {2010},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00479806/en/}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. Estimation d'état des systèmes non linéaires incertains sous forme multimodèle de type Takagi-Sugeno 2010 1er Colloque International Francophone, Ingénierie et Environnement, CIFIE'2010 inproceedings URL  
Abstract: Cet article traite le probleÌ€me de la conception d'un observateur d'eÌ?tat pour un systeÌ€me non lineÌ?aire deÌ?crit par un modeÌ€le de Takagi-Sugeno (T-S). La particulariteÌ? de ce travail reÌ?side dans la consideÌ?ration de l'hypo- theÌ€se de non mesurabiliteÌ? des variables de deÌ?cision ou de preÌ?misse. De plus, le modeÌ€le T-S consideÌ?reÌ? est supposeÌ? incertain et aÌ€ mesures bruiteÌ?es. On est alors face aÌ€ un probleÌ€me de conception d'observateur pour un systeÌ€me T-S incertain et aÌ€ variables de deÌ?cision non mesurables. Deux approches sont proposeÌ?es, elles se basent sur l'utilisation de la seconde theÌ?orie de Lyapu- nov combineÌ?e aux techniques d'optimisation L2. Les conditions de stabiliteÌ? et de convergence de l'erreur d'estimation d'eÌ?tat sont formuleÌ?es en terme d'ineÌ?galiteÌ?s lineÌ?aires matricielles (LMI). Un exemple acadeÌ?mique est pro- poseÌ? afin d'illustrer les performances des approches proposeÌ?es. Enfin, la seconde approche est appliqueÌ?e aÌ€ un modeÌ€le d'un bioproceÌ?deÌ?.
BibTeX:
@inproceedings{ICHALAL:2010:HAL-00548114:1,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = { Estimation d'état des systèmes non linéaires incertains sous forme multimodèle de type Takagi-Sugeno},
  booktitle = {1er Colloque International Francophone, Ingénierie et Environnement, CIFIE'2010 },
  year = {2010},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00548114/en/}
}
Romo-Vázquez, R., Velez-Perez, H., Ranta, R., Louis-Dorr, V., Maquin, D. & Maillard, L. Elimination d'artefacts et du bruit d'EEG épileptiques : débruitage et séparation de sources 2010 Neurophysiologie Clinique/Clinical Neurophysiology Congrès de la Société de Neurophysiologie Clinique de Langue Française   inproceedings URL  
Abstract: L'objectif principal de cette communication est le pré-traitement des signaux d'électroencéphalographie (EEG). Nous proposons une méthodologie pour obtenir un EEG dit "propre'' à travers l'identification et l'élimination des artéfacts extra-cérébraux (mouvements oculaires, clignements, activité cardiaque et musculaire) et du bruit. Après identification, les artéfacts et le bruit doivent être éliminés avec une perte minimale d'information, en préservant au maximum l'information utile pour l'analyse visuelle et automatique et donc pour l'aide au diagnostic médical. Plusieurs étapes sont nécessaires pour atteindre cet objectif : séparation et identification des sources d'artéfacts, élimination du bruit de mesure et reconstruction de l'EEG "propre''. À travers une approche de type séparation aveugle de sources (SAS), la première partie vise à séparer les signaux EEG dans des sources indépendantes issues de processus cérébrales et des sources d'artéfacts extra-cérébrales à éliminer. Une deuxième partie vise à classifier et éliminer les sources d'artéfacts : c'est une étape de classification supervisée. Le bruit de mesure est éliminé par une approche de type débruitage par ondelettes. La mise en place d'une méthodologie intégrant d'une manière optimale la séparation, la classification et le débruitage constitue l'apport principal de cette communication. La méthodologie développée, ainsi que les résultats obtenus sur une base de signaux d'EEG réels (inter-critiques et critiques) importante, sont soumis à une expertise médicale approfondie, qui valide l'approche proposée. La validation consiste en deux volets : dans un premier temps, les tracés EEG bruts et pré-traités sont comparés en aveugle pour apprécier la facilité d'interprétation (l'interprétation a été améliorée dans 96 % d'EEGs inter-critiques et 88 % d'EEGs critiques). De plus, le pré-traitement présenté améliore significativement la détection et la latéralisation automatiques des crises d'épilepsie à travers des indices de synchronisation inter-signaux.
BibTeX:
@inproceedings{ROMOVAZQUEZ:2010:HAL-00498190:1,
  author = {Romo-Vázquez, Rebeca and Velez-Perez, Hugo and Ranta, Radu and Louis-Dorr, Valérie and Maquin, Didier and Maillard, Louis},
  title = { Elimination d'artefacts et du bruit d'EEG épileptiques : débruitage et séparation de sources},
  booktitle = {Neurophysiologie Clinique/Clinical Neurophysiology Congrès de la Société de Neurophysiologie Clinique de Langue Française },
  year = {2010},
  volume = {40 },
  number = {3 },
  pages = {165-188 },
  url = {http://hal.archives-ouvertes.fr/hal-00498190/en/}
}
 
Domlan, E. A., Huang, B., Ragot, J. & Maquin, D. Robust identification of switched regression models 2009 IET Control Theory and Applications   article DOI URL  
Abstract: This study addresses the problem of parameters estimation for switched regression models used to represent systems with multiple operating modes or regimes. For the identification of such models, the collected data are from different operating modes and there is no a priori information holding on the partitioning of the data in regard to the different operating modes. The essential contributions of this paper lie first in the estimation procedure of the model parameters that provides an analytical solution, second in the simultaneous resolution of the problem of estimating the model parameters and allocating the data points to the different local models, and finally the robustness of the estimation procedure regarding the presence of outliers in the identification dataset.
BibTeX:
@article{DOMLAN:2009:HAL-00396230:1,
  author = {Domlan, Elom Ayih and Huang, Biao and Ragot, José and Maquin, Didier},
  title = { Robust identification of switched regression models},
  journal = {IET Control Theory and Applications },
  year = {2009},
  volume = {3 },
  number = {12 },
  pages = {1578-1590 },
  url = {http://hal.archives-ouvertes.fr/hal-00396230/en/},
  doi = {http://dx.doi.org/10.1049/iet-cta.2008.0274}
}
Chadli, M., Akhenak, A., Ragot, J. & Maquin, D. State and unknown input estimation for discrete time multiple model 2009 Journal of the Franklin Institute   article DOI URL  
Abstract: This paper deals with the state estimation of nonlinear discrete systems described by a multiple model with unknown inputs. The main goal concerns the simultaneous estimation of the system's state and the unknown inputs. This goal is achieved through the design of a multiple observer based on the elimination of the unknown inputs. It is shown that the observer gains are solutions of a set of linear matrix inequalities. After that, an unknown input estimation method is proposed. An academic example and an application dealing with message decoding illustrate the effectiveness of the proposed multiple observer.
BibTeX:
@article{CHADLI:2009:HAL-00377746:1,
  author = {Chadli, Mohammed and Akhenak, Abdelkader and Ragot, José and Maquin, Didier},
  title = {State and unknown input estimation for discrete time multiple model},
  journal = {Journal of the Franklin Institute },
  year = {2009},
  volume = {346 },
  number = {6 },
  pages = {593-610 },
  url = {http://hal.archives-ouvertes.fr/hal-00377746/en/},
  doi = {http://dx.doi.org/10.1016/j.jfranklin.2009.02.011}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. On the simultaneous state and unknown input estimation of complex systems via a multiple model strategy 2009 IET Control Theory & Applications   article DOI URL  
Abstract: This study addresses the analysis and design of unknown input observer in order to provide both state and unknown input estimations of complex systems modelled with the help of a particular class of multiple model. The proposed observer uses the multi-integral strategy successfully employed in the classic linear control theory and known for its robustness properties. The observer design is based on the representation of the system via a particular multiple model, known as `decoupled multiple model'. This structure of multiple model allows to use submodels with different number of states and this feature constitutes the main advantage of the proposed observer with respect to the classic multiple model structure where the submodels have the same dimension. It is shown how the gains of the suggested observer can be obtained by solving a linear matrix inequality optimal problem. An academic example is also proposed in order to illustrate the proposed methodology.
BibTeX:
@article{ORJUELA:2009:HAL-00402176:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {On the simultaneous state and unknown input estimation of complex systems via a multiple model strategy},
  journal = {IET Control Theory & Applications },
  year = {2009},
  volume = {3 },
  number = {7 },
  pages = {877-890 },
  url = {http://hal.archives-ouvertes.fr/hal-00402176/en/},
  doi = {http://dx.doi.org/10.1049/iet-cta.2008.0148}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Multi-observateurs à entrées inconnues pour un système de Takagi-Sugeno à variables de décision non mesurables 2009 e-STA, Sciences et Technologies de l'Automatique   article URL  
Abstract: Cet article traite de l'estimation d'état des systèmes non linéaires décrits par des multimodèles de type Takagi-Sugeno avec des fonctions d'activation qui dépendent de l'état du système. Les méthodes de conception de deux types d'observateurs, à savoir un observateur à entrées inconnues et un observateur proportionnel intégral (PI), sont détaillées en utilisant la seconde méthode de Lyapunov ainsi que l'approche L2. Les conditions de convergence des deux observateurs sont données sous forme LMI. Enfin, un exemple est proposé pour illustrer et comparer les performances des deux observateurs
BibTeX:
@article{ICHALAL:2009:HAL-00386466:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Multi-observateurs à entrées inconnues pour un système de Takagi-Sugeno à variables de décision non mesurables},
  journal = {e-STA, Sciences et Technologies de l'Automatique },
  year = {2009},
  volume = {6 },
  number = {2 },
  pages = {Revue électronique },
  note = {Communication sélectionnée de la 5ème Conférence Internationale Francophone d'Automatique, CIFA'2008, Bucarest, Roumanie, 3-5 septembre 2008. },
  url = {http://hal.archives-ouvertes.fr/hal-00386466/en/}
}
Ragot, J., Sabeh, Z. & Maquin, D. Modélisation et diagnostic de la boucle des gaz dans un moteur diesel 2009 La Revue de l'Electricité et de l'Electronique   article URL  
Abstract: La complexité des moteurs diesel modernes, avec un nombre croissant de capteurs et d'actionneurs, nécessite des systèmes de mesure et de diagnostic améliorés et automatisés à bord des véhicules utilisant ces moteurs. La surveillance et la détection précoce des défauts nécessitent de disposer de modèles des composants et, dans cette communication, on s'intéresse à la boucle des gaz d'un moteur diesel à injection directe. On établit des modèles des composants de cette boucle, on identifie leurs paramètres et on procède à la validation du modèle complet de la boucle.
BibTeX:
@article{RAGOT:2009:HAL-00369585:1,
  author = {Ragot, José and Sabeh, Zahi and Maquin, Didier},
  title = {Modélisation et diagnostic de la boucle des gaz dans un moteur diesel},
  journal = {La Revue de l'Electricité et de l'Electronique },
  year = {2009},
  number = {4 },
  pages = {1-6 },
  url = {http://hal.archives-ouvertes.fr/hal-00369585/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. An approach for the state estimation of Takagi-Sugeno models and application to sensor fault diagnosis 2009 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference   inproceedings URL  
Abstract: In this paper, a new method to design an observer for nonlinear systems described by Takagi-Sugeno (TS) model, with unmeasurable premise variables, is proposed. Most of existing work on TS models consider models with measurable decision variables. As a consequence, these works cannot be applied when the decision variables are not available to measurement. The idea of the proposed approach is to re- write the TS model with unmeasurable premise variable into an uncertain TS model by introducing the estimated state in the model. The convergence of the state estimation error is studied using the Lyapunov theory and the stability conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, an academic example is given to illustrate the proposed approach, with an application to sensor fault detection and isolation using an observer bank.
BibTeX:
@inproceedings{ICHALAL:2009:HAL-00407198:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { An approach for the state estimation of Takagi-Sugeno models and application to sensor fault diagnosis},
  booktitle = {48th IEEE Conference on Decision and Control and 28th Chinese Control Conference},
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00407198/en/}
}
Kheder, A., Ben Othman, K., Maquin, D. & Benrejeb, M. State and sensor faults estimation via a proportional integral observer 2009 6th Multi-Conference on Systems, Signals and Devices, SSD'2009   inproceedings DOI URL  
Abstract: This paper deals with the problem of fault detection and identi�cation in noisy systems. A proportional integral observer with unknown inputs is used in order to reconstruct state and sensors faults. A mathematical transformation is made to conceive an augmented system, in which the initial sensor fault appear as an unknown input. This reconstruction is made by the use of a proportionnel integral observer. The noise effect on the state and fault estimation errors is also minimized. The obtained results are then extended to nonlinear systems described by nonlinear Takagi-Sugeno models.
BibTeX:
@inproceedings{KHEDER:2009:HAL-00376446:1,
  author = {Kheder, Atef and Ben Othman, Kamel and Maquin, Didier and Benrejeb, Mohamed},
  title = {State and sensor faults estimation via a proportional integral observer},
  booktitle = {6th Multi-Conference on Systems, Signals and Devices, SSD'2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00376446/en/},
  doi = {http://dx.doi.org/10.1109/SSD.2009.4956795}
}
Ichalal, D., Marx, B., Maquin, D. & Ragot, J. State estimation of nonlinear systems using multiple model approach 2009 American Control Conference, ACC 2009   inproceedings URL  
Abstract: This paper addresses the problem of state estimation of nonlinear systems described by a Takagi-Sugeno multiple model with unmeasurable decision variables. The method is based on the reformulation of the multiple model in an equivalent form. First, the convergence conditions of the state estimation error are established using the Lyapunov method and they are expressed in LMI formulation. Secondly, performances of the observer are enhanced by pole clustering and L2 attenuation of bounded exogenous disturbances. Finally, the method is applied to estimate the state of a link &64258;exible joint robot.
BibTeX:
@inproceedings{ICHALAL:2009:HAL-00355833:1,
  author = {Ichalal, Dalil and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {State estimation of nonlinear systems using multiple model approach},
  booktitle = {American Control Conference, ACC 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00355833/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. State and unknown input estimation for nonlinear systems described by Takagi-Sugeno models with unmeasurable premise variables 2009 17th Mediterranean Conference on Control and Automation, MED'09   inproceedings URL  
Abstract: In this paper, a new method to synthesize observers for continuous time nonlinear systems described by Takagi-Sugeno (TS) model with unmeasurable decision variables. First, convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are given in Linear Matrix Inequality (LMI) formulation. Secondly, a classical Proportional Integral Observer (PIO) is extended to the considered nonlinear systems in order to estimate the state and the unknown inputs (UI).
BibTeX:
@inproceedings{ICHALAL:2009:HAL-00376460:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {State and unknown input estimation for nonlinear systems described by Takagi-Sugeno models with unmeasurable premise variables},
  booktitle = {17th Mediterranean Conference on Control and Automation, MED'09 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00376460/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Simultaneous state and unknown inputs estimation with PI and PMI observers for Takagi Sugeno model with unmeasurable premise variables 2009 17th Mediterranean Conference on Control and Automation, MED'09   inproceedings URL  
Abstract: In this paper, a proportional integral (PI) and a proportional multiple integral observer (PMI) are proposed in order to estimate the state and the unknown inputs of nonlinear systems described by a Takagi-Sugeno model with unmeasurable premise variables. This work is an extension to nonlinear systems of the PI and PMI observers developed for linear systems. The state estimation error is written as a perturbed system. First, the convergence conditions of the state estimation errors between the system and each observer are given in LMI (Linear Matrix Inequality) formulation. Secondly, a comparison between the two observers is made through an academic example.
BibTeX:
@inproceedings{ICHALAL:2009:HAL-00376475:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Simultaneous state and unknown inputs estimation with PI and PMI observers for Takagi Sugeno model with unmeasurable premise variables},
  booktitle = {17th Mediterranean Conference on Control and Automation, MED'09 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00376475/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Design of a fuzzy observer for Takagi-Sugeno fuzzy model for fault detection and isolation 2009 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009   inproceedings URL  
Abstract: This paper addresses the design of an unknown input fuzzy observer for Takagi-Sugeno (T-S) fuzzy model subject to unknown inputs. The main contribution of the paper is the development of a robust fuzzy observer in presence of disturbances. Based on Lyapunov function, it is shown how to determine observers gains in linear matrix inequalities (LMI). The proposed T-S observer is used for detection and isolation of faults which can affect a nonlinear models. The validity of the proposed methodology is illustrated by estimating the yaw rate and the fault of automatic steering vehicle.
BibTeX:
@inproceedings{AKHENAK:2009:HAL-00368195:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Design of a fuzzy observer for Takagi-Sugeno fuzzy model for fault detection and isolation},
  booktitle = {7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00368195/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Fault diagnosis in Takagi-Sugeno nonlinear systems 2009 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009   inproceedings URL  
Abstract: This paper addresses a new scheme for fault diagnosis in nonlinear systems described by Takagi-Sugeno multiple models. Two cases are considered, the �rst one concerns the T-S models with known premise variables (the input or the output of the system). For the second case it is supposed that the weighting functions depend on unmeasurable premise variables (state of the system). The approach is based on the design of observer-based residual generator by minimization of the disturbances effect and maximizing the effects of the faults. The synthesis is based on the L2 formalism developed for linear systems. The convergence conditions are given in LMI formulation.
BibTeX:
@inproceedings{ICHALAL:2009:HAL-00376455:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Fault diagnosis in Takagi-Sugeno nonlinear systems},
  booktitle = {7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00376455/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Observer design for nonlinear systems described by multiple models 2009 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009   inproceedings URL  
Abstract: This paper addresses both analysis and observer design for nonlinear systems modelled by decoupled multiple models. With respect to classic used multiple models, the decoupled multiple model is characterized by heterogeneous submodels in the sense that their state spaces may be of various dimensions. Thanks to this fact, flexibility and generality is introduced in the modelling stage. The main contribution of the paper is the development of new sufficient conditions on LMI form for ensuring the exponential convergence towards zero of the estimation error in the continuous and in the discrete-time. The new proposed conditions enable to obtain a better decay rate with respect to the existing conditions. The validity of the proposed methodology and its application to sensor faults detection and isolation is illustrated by an academic example.
BibTeX:
@inproceedings{ORJUELA:2009:HAL-00374959:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Observer design for nonlinear systems described by multiple models},
  booktitle = {7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00374959/en/}
}
Francken, J., Maquin, D., Ragot, J. & Bèle, B. Robust data reconciliation for the determination of the control system set-points of a basic oxygen furnace 2009 Workshop on Automation in Mining, Mineral and Metal Industry, IFAC-MMM-2009   inproceedings URL  
Abstract: In the steel industry, the determination of the control system set-points of batch processes is a common problem. It consists in adjusting the set-points in order to reach the given product specifications thanks to a process model. Small changes in operating conditions may impact final product quality. This is particularly true for the Basic Oxygen Furnace (BOF) where the information collected during a specific batch serves to adjust the set-points of the next batch. For being able to control that type of process, measurements must be made coherent and it may be convenient to use data reconciliation procedure. The proposed paper describes a method allowing simultaneous data reconciliation and model parameter estimation. Parameter estimation results can either be used to update the process model or to detect abnormal parameter variations due, e.g. to fouling, corrosion, degradation of parts of the process.
BibTeX:
@inproceedings{FRANCKEN:2009:HAL-00395346:1,
  author = {Francken, Julien and Maquin, Didier and Ragot, José and Bèle, Bertrand},
  title = {Robust data reconciliation for the determination of the control system set-points of a basic oxygen furnace},
  booktitle = {Workshop on Automation in Mining, Mineral and Metal Industry, IFAC-MMM-2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00395346/en/}
}
Francken, J., Maquin, D., Ragot, J. & Bèle, B. Simultaneous data reconciliation and parameter estimation. Application to a basic oxygen furnace 2009 2nd IFAC International Conference on Intelligent Control Systems and Signal Processing, ICONS 2009   inproceedings URL  
Abstract: In the steel industry, the determination of the control system set-points of batch processes is a common problem. It consists in adjusting the set-points in order to reach the given product specifications thanks to a process model. Small changes in operating conditions may impact final product quality. This is particularly true for the Basic Oxygen Furnace (BOF) where the information collected during a specific batch serves to adjust the set-points of the next batch. For being able to control that type of process, measurements must be made coherent and it may be convenient to use data reconciliation procedure. The proposed paper describes a method allowing simultaneous data reconciliation and model parameter estimation. Parameter estimation results can either be used to update the process model or to detect abnormal parameter variations due, e.g. to fouling, corrosion, degradation of parts of the process.
BibTeX:
@inproceedings{FRANCKEN:2009:HAL-00395590:1,
  author = {Francken, Julien and Maquin, Didier and Ragot, José and Bèle, Bertrand},
  title = {Simultaneous data reconciliation and parameter estimation. Application to a basic oxygen furnace},
  booktitle = {2nd IFAC International Conference on Intelligent Control Systems and Signal Processing, ICONS 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00395590/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Robust PI observer design for hybrid heterogeneous multiple models with delayed measurements 2009 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09   inproceedings URL  
Abstract: This paper deals with the problem of state estimation for hybrid systems modelled via multiple models and subject to delayed measurements. In contrast to the most popular results found in the multiple model literature, we consider heterogeneous multiple models, also known as decoupled multiple model, which allow to use submodels whose state space dimension can be different. On the basis of this multiple model a proportional-integral observer (PIO) is designed in order to cope with the robust state estimation with respect to disturbances. Sufficient delay-independent conditions for ensuring robust performances (attenuation level) and dynamic performances (exponential convergence) of the estimation error are provided in terms of LMIs using the Lyapunov-Krasovskii method. The validity of the proposed methodology is illustrated by an academic example.
BibTeX:
@inproceedings{ORJUELA:2009:HAL-00402428:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Robust PI observer design for hybrid heterogeneous multiple models with delayed measurements},
  booktitle = {3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00402428/en/}
}
Maquin, D. State estimation and fault detection for systems described by Takagi-Sugeno nonlinear models 2009 10th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2009   inproceedings URL  
Abstract: This communication addresses the problem of fault detection and isolation (FDI) for nonlinear systems. Despite a lot of works in this area, model-based FDI for nonlinear systems still remains a difficult task. These two last decades have witnessed growing popularity of Takagi- Sugeno models. This attractivity relies essentially on two advantages: (i) that kind of models can be considered as universal approximator i.e. they offer a good flexibility at the modeling stage; (ii) their structure based on the blending of linear models is able to fully take advantages of the advances of modern control theory. It is then rather natural to trying to extent the well-established model-based FDI methods for linear systems to the systems that can be represented by Takagi-Sugeno models.
BibTeX:
@inproceedings{MAQUIN:2009:HAL-00441167:1,
  author = {Maquin, Didier},
  title = { State estimation and fault detection for systems described by Takagi-Sugeno nonlinear models},
  booktitle = {10th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00441167/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. State estimation of nonlinear systems based on heterogeneous multiple models: some recent theoretical results. 2009 7th Workshop on Advanced Control and Diagnosis, ACD'2009 5th Workshop on Advanced Control and Diagnosis, ACD 2007   inproceedings URL  
Abstract: State estimation of nonlinear systems plays an important role in several control engineering problems. Multiple model approach is an interesting way to cope with this relevant problem. Indeed, multiple models are recognized as a powerful modelling tool for nonlinear dynamic systems. In this framework, several realisations of multiple models can be considered for submodel interconnections. In contrast to the most popular results found in the multiple model literature, we consider here heterogeneous multiple models which allow to use submodels of different state space dimensions. Thanks to this fact, flexibility and generality can be introduced in the modelling stage. This paper provides survey of recent results in state estimation strategies based on heterogeneous multiple models. Different kinds of observers are investigated in order to improve the state estimation with respect to disturbance as well as unknown inputs. Theoretical results on the observers design and the state estimation error convergence are presented. Discussion and criticisms of the suggested approaches are also proposed and further research are pointed out.
BibTeX:
@inproceedings{ORJUELA:2009:HAL-00434292:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { State estimation of nonlinear systems based on heterogeneous multiple models: some recent theoretical results.},
  booktitle = {7th Workshop on Advanced Control and Diagnosis, ACD'2009 5th Workshop on Advanced Control and Diagnosis, ACD 2007 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00434292/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. State estimation of nonlinear systems based on heterogeneous multiple models: Some recent theoretical results 2009 7th Workshop on Advanced Control and Diagnosis, ACD'2009 7th Workshop on Advanced Control and Diagnosis, ACD'2009   inproceedings URL  
Abstract: State estimation of nonlinear systems plays an important role in several control engineering problems. Multiple model approach is an interesting way to cope with this relevant problem. Indeed, multiple models are recognized as a powerful modelling tool for nonlinear dynamic systems. In this framework, several realisations of multiple models can be considered for submodel interconnections. In contrast to the most popular results found in the multiple model literature, we consider here heterogeneous multiple models which allow to use submodels of different state space dimensions. Thanks to this fact, flexibility and generality can be introduced in the modelling stage. This paper provides survey of recent results in state estimation strategies based on heterogeneous multiple models. Different kinds of observers are investigated in order to improve the state estimation with respect to disturbance as well as unknown inputs. Theoretical results on the observers design and the state estimation error convergence are presented. Discussion and criticisms of the suggested approaches are also proposed and further research are pointed out.
BibTeX:
@inproceedings{ORJUELA:2009:HAL-00434301:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = { State estimation of nonlinear systems based on heterogeneous multiple models: Some recent theoretical results},
  booktitle = {7th Workshop on Advanced Control and Diagnosis, ACD'2009 7th Workshop on Advanced Control and Diagnosis, ACD'2009 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00434301/en/}
}
Francken, J., Maquin, D., Bèle, B. & Ragot, J. Réconciliation de données robuste et surveillance d'un convertisseur à oxygène 2009 4e Congrès Performances et Nouvelles Technologies en Maintenance, PENTOM'09   inproceedings URL  
Abstract: Dans le domaine de la sidérurgie, la détermination des commandes de préréglage des procédés de traitement par lots est un problème majeur. Cela consiste à ajuster les valeurs des points de consigne grâce à un modèle statique de façon à atteindre les objectifs du cahier des charges. Pour le convertisseur à oxygène, objet de cette étude, les informations obtenues durant une coulée doivent être validées aï¬?n de permettre une adaptation cohérente des paramètres des modèles employés pour les préréglages suivants. Cet article décrit une méthode permettant d'effectuer simultanément la réconciliation de données robuste et l'estimation des paramètres du modèle.
BibTeX:
@inproceedings{FRANCKEN:2009:HAL-00407197:1,
  author = {Francken, Julien and Maquin, Didier and Bèle, Bertrand and Ragot, José},
  title = { Réconciliation de données robuste et surveillance d'un convertisseur à oxygène},
  booktitle = {4e Congrès Performances et Nouvelles Technologies en Maintenance, PENTOM'09 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00407197/en/}
}
Francken, J., Maquin, D., Ragot, J. & Bèle, B. Réconciliation de données et estimation paramétrique simultanées. Application à un convertisseur à oxygène 2009 2ème Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'09   inproceedings URL  
Abstract: Dans le domaine de la sidérurgie, la détermination des commandes des systèmes de préréglage des procédés de traitement par lots est un problème majeur. Cela consiste à ajuster la valeur des points de consigne grâce à un modèle statique de façon à atteindre les objectifs définis par le cahier des charges. Cependant des changements de conditions opératoires peuvent avoir un impact important sur la qualité des produits obtenus. Ceci est particulièrement vrai pour le convertisseur à oxygène, où les systèmes de préréglage s'appuient sur une démarche adaptative qui, à partir des déséquilibres de bilans calculés en utilisant les mesures, modifient les paramètres des modèles employés pour les préréglages suivants. Afin d'être capable de commander correctement ce type de procédés, il est nécessaire de disposer de mesures cohérentes d'où l'utilisation de méthodes de réconciliation de données. Ce document décrit une méthode permettant d'effectuer simultanément la réconciliation de données et l'estimation des paramètres du modèle. Les résultats de l'estimation paramétrique pourront être utilisés soit pour mettre à jour le modèle, soit pour détecter des variations anormales des paramètres du modèle dues, par exemple, à des phénomènes d'encrassement, d'usure, de corrosion ou de dégradation d'une partie du système considéré.
BibTeX:
@inproceedings{FRANCKEN:2009:HAL-00383741:1,
  author = {Francken, Julien and Maquin, Didier and Ragot, José and Bèle, Bertrand},
  title = {Réconciliation de données et estimation paramétrique simultanées. Application à un convertisseur à oxygène},
  booktitle = {2ème Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'09 },
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00383741/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Une approche multimodèle pour le diagnostic des systèmes non linéaires 2009 2ème Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'09   inproceedings URL  
Abstract: Cet article propose deux stratégies de diagnostic à base d'observateurs pour des systèmes non linéaires représentés par une classe particulière de multimodèle nommée multimodèle découplé. Dans un premier temps, la structure du multimodèle découplé est présentée puis mise à profit afin de concevoir deux sortes d'observateurs. La première, dite à gain proportionnel (P), permet d'effectuer une estimation de l'état du système alors que la deuxième, dite à gain proportionnel-intégral (PI), rend possible l'estimation simultanée de l'état et des entrées inconnues agissant sur le système (p. ex. un défaut). La convergence de l'erreur d'estimation des deux observateurs est étudiée à l'aide de la méthode de Lyapunov. Dans un deuxième temps, les observateurs P et PI sont exploités en vue de générer des indicateurs de défauts permettant d'accomplir les tâches de détection, de localisation et éventuellement d'estimation des défauts de capteur. Ces stratégies de diagnostic sont illustrées en considérant le modèle simplifié d'un bioréacteur, un procédé de nature non linéaire largement répandu dans l'industrie chimique.
BibTeX:
@inproceedings{ORJUELA:2009:HAL-00382961:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Une approche multimodèle pour le diagnostic des systèmes non linéaires},
  booktitle = {2ème Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'09},
  year = {2009},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00382961/en/}
}
 
Tharrault, Y., Mourot, G., Ragot, J. & Maquin, D. Fault detection and isolation with robust principal component analysis 2008 International Journal of Applied Mathematics and Computer Science   article DOI URL  
Abstract: Principal component analysis (PCA) is a powerful fault detection and isolation method. However, the classical PCA, which is based on the estimation of the sample mean and covariance matrix of the data, is very sensitive to outliers in the training data set. Usually robust principal component analysis is applied to remove the effect of outliers on the PCA model. In this paper, a fast two-step algorithm is proposed. First, the objective was to &64257;nd an accurate estimate of the covariance matrix of the data so that a PCA model might be developed that could then be used for fault detection and isolation. A very simple estimate derived from a one-step weighted variance-covariance estimate is used (Ruiz-Gazen, 1996). This is a ?local? matrix of variance which tends to emphasize the contribution of close observations in comparison with distant observations (outliers). Second, structured residuals are used for multiple fault detection and isolation. These structured residuals are based on the reconstruction principle, and the existence condition of such residuals is used to determine the detectable faults and the isolable faults. The proposed scheme avoids the combinatorial explosion of faulty scenarios related to multiple faults to be considered. Then, this procedure for outliers detection and isolation is successfully applied to an example with multiple faults.
BibTeX:
@article{THARRAULT:2008:HAL-00347446:1,
  author = {Tharrault, Yvon and Mourot, Gilles and Ragot, José and Maquin, Didier},
  title = {Fault detection and isolation with robust principal component analysis},
  journal = {International Journal of Applied Mathematics and Computer Science },
  year = {2008},
  volume = {18 },
  number = {4 },
  pages = {429-442 },
  url = { http://hal.archives-ouvertes.fr/hal-00347446/en/},
  doi = {http://dx.doi.org/10.2478/v10006-008-0038-3}
}
Chadli, M., Akhenak, A., Ragot, J. & Maquin, D. On the design of observer for unknown inputs fuzzy models 2008 International Journal of Automation and Control   article DOI URL  
Abstract: In this paper, we consider the design of an fuzzy observer for a non-linear system with unknown inputs described by a fuzzy model. The main objective is to estimate state variables of the fuzzy model subject to unknown inputs which influence states and outputs of the system simultaneously. Using the Lyapunov method and Linear Matrix Inequalities (LMI), sufficient conditions are proposed to design the proposed unknown input fuzzy observer. The pole placement in an LMI region is also considered. The validity of the proposed methodology is illustrated by an academic example.
BibTeX:
@article{CHADLI:2008:HAL-00325231:1,
  author = {Chadli, Mohammed and Akhenak, Abdelkader and Ragot, José and Maquin, Didier},
  title = {On the design of observer for unknown inputs fuzzy models},
  journal = {International Journal of Automation and Control },
  year = {2008},
  volume = {2 },
  number = {1 },
  pages = {113-125 },
  url = {http://hal.archives-ouvertes.fr/hal-00325231/en/},
  doi = {http://dx.doi.org/10.1504/IJAAC.2008.020423}
}
Chadli, M., Akhenak, A., Maquin, D. & Ragot, J. Fuzzy observer for fault detection and reconstruction of unknown input fuzzy models 2008 International Journal of Modelling Identification and Control   article DOI URL  
Abstract: This paper addresses the design of a fuzzy observer for unknown input Takagi-Sugeno (T–S) fuzzy model. The main contribution of this paper is the development of a robust fuzzy observer in the presence of disturbances. Based on Lyapunov function, it is shown how to determine the observers gains in Linear Matrix Inequalities (LMI) terms. The proposed observer structure allows to estimate simultaneously and systematically the unknown inputs and state variables. The designed T–S observer is used for detection and reconstruction of faults which can affect a non-linear model and can be applied directly for fault detection and isolation of actuator faults. The validity of the proposed methodology is illustrated by estimating the state and faults of an automatic steering vehicle.
BibTeX:
@article{CHADLI:2008:HAL-00296592:1,
  author = {Chadli, Mohammed and Akhenak, Abdelkader and Maquin, Didier and Ragot, José},
  title = {Fuzzy observer for fault detection and reconstruction of unknown input fuzzy models},
  journal = {International Journal of Modelling Identification and Control },
  year = {2008},
  volume = {3 },
  number = {2 },
  pages = {193-200 },
  url = {http://hal.archives-ouvertes.fr/hal-00296592/en/},
  doi = {http://dx.doi.org/10.1504/IJMIC.2008.019358}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. State estimation for nonlinear systems using decoupled multiple model 2008 International Journal of Modelling Identification and Control   article URL  
Abstract: The multiple model approach is an elegant and a powerful tool for mod- elling real-world complex processes. In this modelling framework, a judicious combination of a set of submodels makes it possible to describe the behaviour of a nonlinear system. The two following structures of multiple models can be distinguished according to whether the submodels share a common state vector (Takagi-Sugeno multiple model) or not (decoupled multiple model). This latter structure is an interesting alternative to the popular Takagi-Sugeno multiple model because different orders of submodels can be considered. The decoupled multiple model is nowadays increasingly used to perform the identification and the control of nonlinear systems. However, to our knowledge, the state estimation problem of nonlinear systems represented by this structure is not thoroughly investigated. The present note deals with this worthwhile problem.
BibTeX:
@article{ORJUELA:2008:HAL-00168647:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {State estimation for nonlinear systems using decoupled multiple model},
  journal = {International Journal of Modelling Identification and Control },
  year = {2008},
  pages = {Accepted paper },
  url = {http://hal.archives-ouvertes.fr/hal-00168647/en/}
}
Alhaj-Dibo, M., Maquin, D. & Ragot, J. Data reconciliation: a robust approach using contaminated distribution. 2008 Control Engineering Practice   article DOI URL  
Abstract: On-line optimisation provides a means for maintaining a process around its optimum operating range. This optimisation heavily relies on process measurements and accurate process models. However, these measurements often contain random and possibly gross errors as a result of miscalibration or failure of the measuring instruments. Thus, these measurements do not generally satisfy the process constraints and they need to be reconciled. In the data reconciliation process, data are adjusted to satisfy the process constraints while minimizing the error in the least squares sense. On a mathematical point of view, data reconciliation is generally based on the assumption that the measurement errors have Gaussian probability density function (pdf) with zero mean and known variance. The elimination of the less frequent gross errors is achieved by so called gross error detection. Therefore, simultaneous data reconciliation and gross error detection have emerged as a key issue of on-line optimization. Indeed, in the presence of gross errors, all of the estimates provided by classical data reconciliation methods are greatly affected by such biases and would not be considered as reliable indicators of the state of the process. This paper proposes a data reconciliation strategy that deals with the presence of such gross errors. Instead of constructing the objective function to be minimized on the basis of random errors only, the proposed method takes into account both contributions from random and gross errors using a so-called contaminated Gaussian distribution. It is shown that this approach introduces less bias in the estimation due to its natural property to reject gross errors. An academic application to flowrate and concentration data in mineral processing illustrates the efficiency of the proposed method.
BibTeX:
@article{ALHAJDIBO:2008:HAL-00009005:3,
  author = {Alhaj-Dibo, Moustapha and Maquin, Didier and Ragot, José},
  title = {Data reconciliation: a robust approach using contaminated distribution.},
  journal = {Control Engineering Practice },
  year = {2008},
  volume = {16 },
  number = {2 },
  pages = {159-170 },
  url = {http://hal.archives-ouvertes.fr/hal-00009005/en/},
  doi = {http://dx.doi.org/10.1016/j.conengprac.2007.01.003}
}
Hocine, A., Chadli, M., Maquin, D. & Ragot, J. A discrete-time sliding window observer for Markovian switching system 2008 Control and Intelligent Systems   article URL  
Abstract: In this paper, a fault detection method is developed for switching dynamic systems. These systems are represented by several linear models, each of them being associated to a particular operating mode. To find the system in operating mode the proposed method is based on mode probabilities and on a new structure of discrete- time observer with a sliding window measurements. This observer results from a combination of a Finite Memory Observer (FMO) and a Luenberger Observer. The stability condition of the observer is formulated in terms of linear matrix inequalities (LMI) using a quadratic Lyapunov function. The method also uses a priori knowledge information about the mode transition probabilities represented by a Markov chain. The proposed algorithm is of supervised nature where the faults to be detected are a priori indexed and modelled. In this work, the method is applied for the fault detection of a linear system characterized by a model of normal operating mode and several fault models. A comparison with the Generalized Pseudo-Bayesian method shows the validity and some advantages of the suggested method.
BibTeX:
@article{HOCINE:2008:HAL-00275420:1,
  author = {Hocine, Abdelfettah and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {A discrete-time sliding window observer for Markovian switching system},
  journal = {Control and Intelligent Systems },
  year = {2008},
  volume = {36 },
  number = {2 },
  pages = {201-1917 },
  url = {http://hal.archives-ouvertes.fr/hal-00275420/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Proportional-Integral Observer Design for Nonlinear Uncertain Systems Modelled by a Multiple Model Approach 2008 47th IEEE Conference on Decision and Control, CDC'08   inproceedings URL  
Abstract: In this paper, a decoupled multiple model approach is used in order to cope with the state estimation of uncertain nonlinear systems. The proposed decoupled multiple model provides flexibility in the modelling stage because the dimension of the submodels can be different and this constitutes the main difference with respect to the classically used multiple model scheme. The state estimation is performed using a Proportional Integral Observer (PIO) which is well known for its robustness properties with respect to uncertainties and perturbations. The Lyapunov second method is employed in order to provide sufficient existence conditions of the observer, in LMI terms, and to compute the optimal gains of the PIO. The effectiveness of the proposed methodology is illustrated by a simulation example.
BibTeX:
@inproceedings{ORJUELA:2008:HAL-00340182:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Proportional-Integral Observer Design for Nonlinear Uncertain Systems Modelled by a Multiple Model Approach},
  booktitle = {47th IEEE Conference on Decision and Control, CDC'08 },
  year = {2008},
  pages = {3577-3582 },
  url = {http://hal.archives-ouvertes.fr/hal-00340182/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Estimating the state and the unknown inputs of nonlinear systems using a multiple model approach 2008 16th Mediterranean Conference on Control and Automation, MED'08   inproceedings DOI URL  
Abstract: This paper addresses both state and unknown input estimation problem of nonlinear systems modelled with the help of a particular class of multiple models, known as decoupled multiple model. The simultaneous estimation of the state and the unknown inputs is achieved using a proportional-integral observer that is well known by its robustness properties. The proposed observer allows the use of submodels with different dimensions and this fact offers potential applications in the multiple model framework. The LMI framework is used in order to provide sufficient conditions for ensuring exponential convergence of the estimation error and robust Hinf performances with respect to perturbations.
BibTeX:
@inproceedings{ORJUELA:2008:HAL-00278921:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Estimating the state and the unknown inputs of nonlinear systems using a multiple model approach},
  booktitle = {16th Mediterranean Conference on Control and Automation, MED'08 },
  year = {2008},
  pages = {1375-1380 },
  url = {http://hal.archives-ouvertes.fr/hal-00278921/en/},
  doi = {http://dx.doi.org/10.1109/MED.2008.4602077}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Robust observer design for uncertain Takagi-Sugeno model with unmeasurable decision variables: an L2 approach 2008 16th Mediterranean Conference on Control and Automation, MED'08   inproceedings DOI URL  
Abstract: This paper deals with the problem of state estimation of nonlinear uncertain systems described by uncertain multiple model form with unmeasurable decision variables. We propose two methods to attenuate the effect of modeling uncertainties and measurement noise on the state estimation. The first method is based, under some assumptions, on the second method of Lyapunov and L2 approach. The second method allows to reduce the conservatism of the convergence conditions issued from the assumptions of first method. The convergence conditions of the observer are presented in terms of linear matrix inequality (LMI) formulation. The validity andapplicability of the proposed methods are illustrated by an academic example.
BibTeX:
@inproceedings{ICHALAL:2008:HAL-00292256:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Robust observer design for uncertain Takagi-Sugeno model with unmeasurable decision variables: an L2 approach},
  booktitle = {16th Mediterranean Conference on Control and Automation, MED'08 },
  year = {2008},
  pages = {274-279 },
  url = {http://hal.archives-ouvertes.fr/hal-00292256/en/},
  doi = {http://dx.doi.org/10.1109/MED.2008.4602078}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Fault detection and isolation using sliding mode observer for uncertain Takagi-Sugeno fuzzy model 2008 16th Mediterranean Conference on Control and Automation, MED'08   inproceedings DOI URL  
Abstract: This paper addresses fault detection and isolation (FDI) problem using a sliding mode fuzzy observer on the basis of a uncertain Takagi-Sugeno (T-S) fuzzy model. First, a robust fuzzy observer with respect to the uncertainties is designed. The convergence of the fuzzy observer is performed by the search of suitable Lyapunov matrices. It is shown how to synthesis observers using a set of linear matrix inequalities (LMI) conditions. Once the fuzzy observer is designed, FDI problem for nonlinear systems described by T-S fuzzy systems using the fuzzy observer is presented. A bank of fuzzy observer is then designed in order to investigate fault diagnosis problems. The validity of the proposed methodology is illustrated on a dynamic vehicle model.
BibTeX:
@inproceedings{AKHENAK:2008:HAL-00279829:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Fault detection and isolation using sliding mode observer for uncertain Takagi-Sugeno fuzzy model},
  booktitle = {16th Mediterranean Conference on Control and Automation, MED'08},
  year = {2008},
  pages = {286-291 },
  url = {http://hal.archives-ouvertes.fr/hal-00279829/en/},
  doi = {http://dx.doi.org/10.1109/MED.2008.4602239}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Design of robust Hinf observers for nonlinear systems using a multiple model 2008 17th IFAC World Congress   inproceedings URL  
Abstract: A particular class of multiple model, known as decoupled multiple model, is used in order to cope with the state estimation problem of nonlinear systems. This attractive kind of multiple model is characterized by submodels of which the state belong to spaces of various dimensions, in contrast to the popular Takagi-Sugeno multiple model where the dimensions of the state space of the submodels are identical. Thus the decoupled multiple model is suitable for modelling complex systems with variable structure in the operating range and this fact offers promising prospects in the modelling, control and diagnosis of complex non linear systems. An original procedure for designing a proportional observer and a proportional-integral observer ensuring Hinf performances is proposed. Sufficient conditions for ensuring the estimation error convergence are derived employing the LMI framework. Comparison between the state estimation provided by both observers is given via a simulation example.
BibTeX:
@inproceedings{ORJUELA:2008:HAL-00259933:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Design of robust Hinf observers for nonlinear systems using a multiple model},
  booktitle = {17th IFAC World Congress},
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00259933/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Design of observers for Takagi-Sugeno systems with immeasurable premise variables : an L2 approach 2008 17th IFAC World Congress   inproceedings URL  
Abstract: A new observer design method is proposed for Takagi-Sugeno systems with immeasurable premise variables. Since the state estimation error can be written as a perturbed system, then the proposed method is based on the L2 techniques to minimize the effect of the perturbations on the state estimation error. The convergence conditions of the observer are established by using the second method of Lyapunov and a quadratic function. These conditions are expressed in terms of Linear Matrix Inequalities (LMI). Finally, the performances of the proposed observer are improved by eigenvalues clustering in LMI region.
BibTeX:
@inproceedings{ICHALAL:2008:HAL-00201030:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Design of observers for Takagi-Sugeno systems with immeasurable premise variables : an L2 approach},
  booktitle = {17th IFAC World Congress},
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00201030/en/}
}
Kheder, A., Benothman, K., Benrejeb, M. & Maquin, D. State and unknown input estimation via a proportional integral observer 2008 9th International conference on Sciences and Techniques of Automatic control & computer engineering, STA'2008   inproceedings URL  
Abstract: This paper deals with the problem of fault detection and identification in noisy systems. A proportionnal integral observer with unknown inputs is used in order to estimate the state and the faults which are assumed as unknown inputs. The noise effect on the state and fault estimation errors is also minimized. The obtained results are then extended to nonlinear systems described by nonlinear Takagi-Sugeno models.
BibTeX:
@inproceedings{KHEDER:2008:HAL-00340083:1,
  author = {Kheder, Atef and Benothman, Kamel and Benrejeb, Mohamed and Maquin, Didier},
  title = {State and unknown input estimation via a proportional integral observer},
  booktitle = {9th International conference on Sciences and Techniques of Automatic control & computer engineering, STA'2008 },
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00340083/en/}
}
Ragot, J., Domlan, E. A., Maquin, D. & Huang, B. Unscented Kalman filter for operating mode change detection 2008 1st International Workshop on Systems Engineering Design & Applications, SENDA 2008   inproceedings URL  
Abstract: Real-life processes are mostly characterized by several operating regimes or modes. Each operating mode corresponds to particular operating conditions and may require the use of a specific control strategy. Therefore, the task of identifying or determining continuously the current operating mode of the process is of a great value as it allows to implement the control strategy that is in accordance with the current operating mode of the process. The use of an unscented Kalman filter is considered here for the purpose of tracking the active operating mode of the process at every time instant and consequently detecting when a change occurs in the process operating mode.
BibTeX:
@inproceedings{RAGOT:2008:HAL-00336114:1,
  author = {Ragot, José and Domlan, Elom Ayih and Maquin, Didier and Huang, Biao},
  title = {Unscented Kalman filter for operating mode change detection},
  booktitle = {1st International Workshop on Systems Engineering Design & Applications, SENDA 2008 },
  year = {2008},
  pages = {CDROM },
  note = {7 },
  url = {http://hal.archives-ouvertes.fr/hal-00336114/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Identification d’un système à plusieurs modes de fonctionnement 2008 7ème Conférence Internationale de Modélisation, Optimisation et Simulation des Systèmes, MOSIM 08   inproceedings URL  
Abstract: Le problème abordé ici est l’estimation des paramètres du modèle d’un système présentant plusieurs modes ou régimes de fonctionnement. Les données collectées sont issues de ces différents modes et l’on ne connaît pas a priori quelles données doivent être affectées à un mode particulier. L’apport essentiel de cette communication réside d’une part dans la procédure d’estimation des paramètres des modèles qui fournit une solution analytique, d’autre part dans la résolution simultanée du problème d’estimation des paramètres des modèles locaux et de l’affectation des données à ces modèles locaux, enfin à la robustesse de l’estimation vis-à-vis des valeurs aberrantes accidentelles. La méthode est exposée dans le cas d’un système présentant deux modes de fonctionnement, mais l’extension à plus de deux modes est réalisable.
BibTeX:
@inproceedings{DOMLAN:2008:HAL-00150538:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Identification d’un système à plusieurs modes de fonctionnement},
  booktitle = {7ème Conférence Internationale de Modélisation, Optimisation et Simulation des Systèmes, MOSIM 08 },
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00150538/en/}
}
Sabeh, Z., Maquin, D. & Ragot, J. Modélisation et simulation de la boucle des gaz dans un moteur diesel suralimenté à injection directe 2008 7ème Conférence Internationale de Modélisation, Optimisation et Simulation des Systèmes, MOSIM 08   inproceedings URL  
Abstract: La complexité des moteurs diesel modernes contrôlés par l’électronique, avec un nombre croissant de capteurs et d’actionneurs, nécessite des systèmes de mesure et de diagnostic améliorés et automatisés à bord des véhicules utilisant ces moteurs. La surveillance appropriée et la détection précoce des défauts nécessite de disposer de modèles de bon fonctionnement des composants et, dans cette communication, on s’intéresse à la boucle des gaz d’un moteur diesel à injection directe. On établit des modèles des composants de cette boucle, on identifie leurs paramètres et on procède à la validation du modèle complet de la boucle. Les essais effectués sur un moteur réel montrent une bonne adéquation entre les grandeurs élaborées par ce modèle et les informations correspondantes fournies par les capteurs.
BibTeX:
@inproceedings{SABEH:2008:HAL-00260012:1,
  author = {Sabeh, Zahi and Maquin, Didier and Ragot, José},
  title = {Modélisation et simulation de la boucle des gaz dans un moteur diesel suralimenté à injection directe},
  booktitle = {7ème Conférence Internationale de Modélisation, Optimisation et Simulation des Systèmes, MOSIM 08},
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00260012/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Diagnostic des systèmes non linéaires par approche multimodèle 2008 Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'08   inproceedings URL  
Abstract: Dans cet article, une méthode de diagnostic à base de modèle est mise en place pour des systèmes non linéaires. Ceux-ci sont modélisés à l’aide de modèles de Takagi-Sugeno à variables de décision non mesurables afin de pouvoir utiliser une technique classique de bancs d’observateurs. La première partie de l’article propose donc l’élaboration d’un multi-observateur de type Proportionnel-Intégral (PI) permettant de minimiser l’influence des perturbations sur l’estimation d’état. Ce type d’observateur est ensuite utilisé au sein de bancs d’observateurs qui engendrent des résidus dont l’analyse permet de révéler l’occurrence de défauts de capteurs ou d’actionneurs. Enfin, cette stratégie de diagnostic est appliquée sur un exemple de simulation afin d’illustrer l’efficacité de la méthode proposée.
BibTeX:
@inproceedings{ICHALAL:2008:HAL-00287115:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Diagnostic des systèmes non linéaires par approche multimodèle},
  booktitle = {Workshop Surveillance, Sûreté et Sécurité des Grands Systèmes, 3SGS'08 },
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00287115/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Multi-observateurs à entrées inconnues pour un système de Takagi-Sugeno à variables de décision non mesurables 2008 5ème Conférence Internationale Francophone d'Automatique, CIFA'2008 inproceedings URL  
Abstract: Cet article traite de l'estimation d'état des systèmes non linéaires décrits par des multimodèles de type Takagi-Sugeno avec des fonctions d'activation qui dépendent de l'état du système. Les méthodes de conception de deux types d'observateurs, à savoir un observateur à entrées inconnues et un observateur proportionnel intégral (PI), sont détaillées en utilisant la seconde méthode de Lyapunov ainsi que l'approche L2. Les conditions de convergence des deux observateurs sont données sous forme LMI. Enfin, un exemple de simulation est proposé pour illustrer et comparer les performances des deux observateurs.
BibTeX:
@inproceedings{ICHALAL:2008:HAL-00319245:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Multi-observateurs à entrées inconnues pour un système de Takagi-Sugeno à variables de décision non mesurables},
  booktitle = {5ème Conférence Internationale Francophone d'Automatique, CIFA'2008},
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00319245/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Conception d’observateurs robustes pour des systèmes non linéaires incertains : une stratégie multimodèle 2008 5ème Conférence Internationale Francophone d'Automatique, CIFA'2008   inproceedings URL  
Abstract: Ce document aborde l'estimation d'état des systèmes non linéaires. L'approche proposée repose sur la représentation du système par un multimodèle découplé. Cet article porte sur la synthèse d'observateurs pour des systèmes non linéaires incertains décrits par des multimodèles. Avec cette approche de modélisation, le comportement dynamique du système est caractérisé par un ensemble de sous-modèles, chacun étant valide dans une zone de fonctionnement. La structure de multimodèle exploitée dans ce travail, dite découplée, utilise des sous-modèles dont les vecteurs d'état peuvent être de dimensions différentes. Un degré de flexibilité dans l'étape de modélisation est ainsi introduit car la dimension des sous-modèles peut être adaptée à la complexité de la zone de fonctionnement à décrire. Des conditions suffisantes pour la synthèse d'un observateur robuste vis-à-vis des incertitudes de modélisation et des perturbations sont établies pour cette classe de multimodèle, sous la forme d'Inégalités Matricielles Linéaires (LMIs). Un exemple de simulation est également proposé afin d'illustrer les performances de l'approche présentée.
BibTeX:
@inproceedings{ORJUELA:2008:HAL-00287575:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Conception d’observateurs robustes pour des systèmes non linéaires incertains : une stratégie multimodèle},
  booktitle = {5ème Conférence Internationale Francophone d'Automatique, CIFA'2008 },
  publisher = {- },
  year = {2008},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00287575/en/}
}
 
Akhenak, A., Chadli, M., Maquin, D. & Ragot, J. Design of a sliding mode fuzzy observer for uncertain Takagi-Sugeno fuzzy model: application to automatic steering of vehicle 2007 International Journal of Vehicle Autonomous Systems   article DOI URL  
Abstract: This paper addresses the analysis and design of a Sliding Mode Fuzzy Observer (SMFO) on the basis of a Takagi-Sugeno (T-S) fuzzy model. The main contribution of the paper is the development of a robust fuzzy observer with respect to the uncertainties as well as the synthesis of sufficient stability conditions of this observer. The stabilisation of the fuzzy observer is performed by the search of suitable Lyapunov matrices. It is shown how to determine the gains of the local observers, these gains being solutions of a set of Linear Matrix Inequalities (LMIs). The validity of the proposed methodology is illustrated by an estimation of the yaw rate of automatic steering of vehicles.
BibTeX:
@article{AKHENAK:2007:HAL-00155269:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Design of a sliding mode fuzzy observer for uncertain Takagi-Sugeno fuzzy model: application to automatic steering of vehicle},
  journal = {International Journal of Vehicle Autonomous Systems },
  year = {2007},
  volume = {5 },
  number = {3/4 },
  pages = {288-305 },
  url = {http://hal.archives-ouvertes.fr/hal-00155269/en/},
  doi = {http://dx.doi.org/10.1504/IJVAS.2007.016405}
}
Maquin, D., Ragot, J., Ben Hmida, F. & Gossa, M. Robust parameter estimation with noisy data 2007 International Journal of Sciences and Techniques of Automatic control & computer engineering   article URL  
Abstract: For process control improvement, coherency of information supplied by instrument lines and sensors must first be ensured; because of the presence of random and possibly gross errors, the model equations of the process are not generally satisfied. Moreover, the parameters of the considered model are not always exactly known. The problem of how to reconcile the measurements so that they satisfy the model constraints is considered in this article. The simultaneous presence of measurement errors in process input and output measurements coupled with the model parameter uncertainty poses serious problem in the rectification of data. In that paper, the problem is solved using a special filter to estimate both the parameters, the input and the output of a process represented by an autoregressive model.
BibTeX:
@article{MAQUIN:2007:HAL-00204967:1,
  author = {Maquin, Didier and Ragot, José and Ben Hmida, Fayçal and Gossa, Moncef},
  title = {Robust parameter estimation with noisy data},
  journal = {International Journal of Sciences and Techniques of Automatic control & computer engineering },
  year = {2007},
  volume = {1 },
  number = {2 },
  pages = {226-235 },
  note = {ISSN: 1737-7749 },
  url = {http://hal.archives-ouvertes.fr/hal-00204967/en/}
}
Benothman, K., Maquin, D., Ragot, J. & Benrejeb, M. Diagnosis of uncertain linear systems: an interval approach 2007 International Journal of Sciences and Techniques of Automatic control & computer engineering   article URL  
Abstract: When modelling a physical process, there are always discreapencies between the modelled and real behaviours due to simplifications and neglected effects. Moreover, the parameters of the real process are never rigorously constant and may vary all along the time around a mean value. Thus the process state estimation will strongly depend on these variations which are unknown and thus may be considered as uncertainties. In order to obtain a guaranteed state reconstruction, the influence of these uncertainties have to be taken into account. An adapted representation allowing state reconstruction is the interval model approach which consists in providing a nominal model of the process influenced by uncertainties assumed to be represented by intervals with known bounds. The paper shows how state estimation may be obtained by using interval model approach; based on interval analysis, a set of state estimates is defined which is consistent with the available information (models, measurements, bounded uncertainties).
BibTeX:
@article{BENOTHMAN:2007:HAL-00204963:1,
  author = {Benothman, Kamel and Maquin, Didier and Ragot, José and Benrejeb, Mohamed},
  title = {Diagnosis of uncertain linear systems: an interval approach},
  journal = {International Journal of Sciences and Techniques of Automatic control & computer engineering },
  year = {2007},
  volume = {1 },
  number = {2 },
  pages = {136-154 },
  note = {ISSN: 1737-7749 },
  url = {http://hal.archives-ouvertes.fr/hal-00204963/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Multiple model approach modelling: application to a turbojet engine 2007 Journal of Engineering and Applied Sciences   article URL  
Abstract: In this study, we show the interest of multiple model modelling approach to apprehend nonlinear behaviours of physical systems. From experimental data, we develop a model of simple structure which can be exploited in many fields such as control, diagnosis or for the design of observers. An application on a turbojet plane is presented.
BibTeX:
@article{AKHENAK:2007:HAL-00137704:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Multiple model approach modelling: application to a turbojet engine},
  journal = {Journal of Engineering and Applied Sciences },
  year = {2007},
  volume = {2 },
  number = {4 },
  pages = {798-807 },
  note = {Medwell Journals (http://www.medwelljournals.com) },
  url = {http://hal.archives-ouvertes.fr/hal-00137704/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Switching systems: active mode recognition, identification of the switching law 2007 Journal of Control Science and Engineering   article DOI URL  
Abstract: The problem of the estimation of the discrete state of a switching system is studied. The knowledge of the switching law is essential for this kind of system as it simplifies their manipulation for control purposes. This paper investigates the use of a model-based disgnosis method for the determination of the active mode at each timepoint based on the system input/output data. The issue of the parametric identification of the switching law is also addressed.
BibTeX:
@article{DOMLAN:2007:HAL-00195472:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Switching systems: active mode recognition, identification of the switching law},
  journal = {Journal of Control Science and Engineering },
  year = {2007},
  volume = {2007 },
  pages = {ID 50796 },
  note = {http://www.hindawi.com/journals/jcse/raa.50796.html },
  url = {http://hal.archives-ouvertes.fr/hal-00195472/en/},
  doi = {http://dx.doi.org/10.1155/2007/50796}
}
Lefebvre, D., Aubry, D., Chafouk, H., Combastel, C., Domlan, E. A., Graton, G., Hoblos, G., Kajdan, R., Kratz, F., Lalami, A., Lebbal, M., Maquin, D. & Ragot, J. Diagnostic des SDH. Quelques contributions issues des approches continues 2007 Journal Européen des Systèmes Automatisés   article DOI URL  
Abstract: Cet article concerne le diagnostic des systèmes dynamiques hybrides par approches continues. Il rassemble quelques résultats et conclusions obtenus au travers de l'Action spécifique 193, intitulée « Diagnostic des systèmes dynamiques hybrides », soutenue par le département STIC du CNRS et rattachée au GDR MACS et au RTP 20. Les contributions principales concernent d'une part, l'estimation du mode de fonctionnement et l'identification des lois de commutation. D'autre part, les contributions concernent l'amélioration de la discernabilité des défauts par une évaluation de l'amplitude de ces derniers et par la combinaison de décisions statiques et dynamiques. Les approches proposées sont illustrées sur un support commun constitué d'un système à deux réservoirs.
BibTeX:
@article{LEFEBVRE:2007:HAL-00250108:1,
  author = {Lefebvre, Dimitri and Aubry, Didier and Chafouk, Houcine and Combastel, Christophe and Domlan, Elom Ayih and Graton, Guillaume and Hoblos, Ghaleb and Kajdan, Rudy and Kratz, Frédéric and Lalami, Abelhalim and Lebbal, Mohamed and Maquin, Didier and Ragot, José},
  title = {Diagnostic des SDH. Quelques contributions issues des approches continues},
  journal = {Journal Européen des Systèmes Automatisés },
  year = {2007},
  volume = {41 },
  number = {7-8 },
  pages = {885-912 },
  url = {http://hal.archives-ouvertes.fr/hal-00250108/en/},
  doi = {http://dx.doi.org/10.3166/jesa.41.885-912}
}
Domlan, E. A., Ragot, J. & Maquin, D. Systèmes à commutation : recherche du mode actif, identification de la loi de commutation 2007 Journal Européen des Systèmes Automatisés   article DOI URL  
Abstract: Les systèmes à commutation représentent une classe particulière de systèmes hybrides. Ils sont décrits par plusieurs modèles de fonctionnement et chaque modèle, définissant un mode du système, est actif sous certaines conditions opératoires particulières. Lorsque la loi de commutation régissant le passage d'un modèle de fonctionnement à l'autre est parfaitement connue, il est aisé de manipuler de tels systèmes car le mode actif peut être connu à chaque instant. Par contre, dans la situation où aucune information n'est disponible sur l'évolution de la loi de commutation, il est plus ardu de procéder au diagnostic ou encore de synthétiser une loi de commande sur ces systèmes. Cet article traite de la reconnaissance du mode actif sur la base d'observations de l'entrée et de la sortie du système. L'identification des paramètres de la loi de commutation lorsque celle-ci est décrite par un modèle de régression, est également abordée.
BibTeX:
@article{DOMLAN:2007:HAL-00107437:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Systèmes à commutation : recherche du mode actif, identification de la loi de commutation},
  journal = {Journal Européen des Systèmes Automatisés },
  year = {2007},
  volume = {41 },
  number = {1 },
  pages = {7-30 },
  url = {http://hal.archives-ouvertes.fr/hal-00107437/en/},
  doi = {http://dx.doi.org/10.3166/jesa.41.7-30}
}
Ragot, J., Maquin, D. & Gentil, S. Diagnostic fondé sur un modèle quantitatif 2007 Supervision des procédés complexes   incollection URL  
BibTeX:
@incollection{RAGOT:2007:HAL-00118302:1,
  author = {Ragot, José and Maquin, Didier and Gentil, Sylviane},
  title = {Diagnostic fondé sur un modèle quantitatif},
  booktitle = {Supervision des procédés complexes },
  publisher = {Hermès Sciences Publications },
  year = {2007},
  pages = {219-278 },
  note = {Traité IC2, Série Systèmes Automatisés. Ed. Hermès Sciences, 16 mars 2007. ISBN-13: 978-2746214108 Département Automatique },
  url = {http://hal.archives-ouvertes.fr/hal-00118302/en/}
}
Maquin, D. & Ragot, J. Validation de données à base de modèles 2007 Supervision des procédés complexes   incollection URL  
BibTeX:
@incollection{MAQUIN:2007:HAL-00108488:1,
  author = {Maquin, Didier and Ragot, José},
  title = {Validation de données à base de modèles},
  booktitle = {Supervision des procédés complexes },
  publisher = {Hermès Sciences Publications },
  year = {2007},
  pages = {181-218 },
  note = {chapitre 5 },
  url = {http://hal.archives-ouvertes.fr/hal-00108488/en/}
}
Maquin, D., Marx, B. & Ragot, J. Surveillance et diagnostic 2007 Automatique : du cahier des charges à la réalisation de systèmes   incollection URL  
BibTeX:
@incollection{MAQUIN:2007:HAL-00188466:1,
  author = {Maquin, Didier and Marx, Benoît and Ragot, José},
  title = {Surveillance et diagnostic},
  booktitle = {Automatique : du cahier des charges à la réalisation de systèmes },
  publisher = {Dunod },
  year = {2007},
  pages = {577-628 },
  note = {Chapitre 16 - ISBN 978-2-10-050397-1 },
  url = {http://hal.archives-ouvertes.fr/hal-00188466/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Switching systems mode estimation using a model-based diagnosis method 2007 8th Conference on Diagnostics of Processes and Systems, DPS'07   inproceedings URL  
Abstract: Switching systems are a particular class of hybrid systems. They are represented by several operating regimes, called modes, each of them being active under certain particular conditions. The modes can be associated with normal or faulty operating conditions. Therefore, the determination of the active mode at any moment constitutes a fault diagnosis approach for such systems. This paper addresses the issue of the determination of the active mode at any moment, using only the system's input/output data. To perform this task, we propose an adaptation of the well-known parity space method to this class of system. Conditions that guarantee the uniqueness of the determined active mode are also given.
BibTeX:
@inproceedings{DOMLAN:2007:HAL-00155272:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Switching systems mode estimation using a model-based diagnosis method},
  booktitle = {8th Conference on Diagnostics of Processes and Systems, DPS'07},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00155272/en/}
}
Tharrault, Y., Mourot, G., Ragot, J. & Maquin, D. Fault detection and isolation with robust principal component analysis 2007 8th Conference on Diagnostics of Processes and Systems, DPS'07   inproceedings URL  
Abstract: Principal component analysis (PCA) is a powerful fault detection technique which has been widely used in process industries. However, a main drawback of PCA is that it is based on least squares estimation techniques and hence fails to account for outliers which are common in physical processes. This paper is concerned with the fault detection and isolation problem. The proposed method does not require a data matrix without outliers for a PCA model design. Indeed, the approach directly uses the eventually corrupt database to elaborate a robust PCA model allowing fault detection. Then reconstruction principle and fault signatures analysis are used for fault isolation.
BibTeX:
@inproceedings{THARRAULT:2007:HAL-00155273:1,
  author = {Tharrault, Yvon and Mourot, Gilles and Ragot, José and Maquin, Didier},
  title = {Fault detection and isolation with robust principal component analysis},
  booktitle = {8th Conference on Diagnostics of Processes and Systems, DPS'07},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00155273/en/}
}
Romo-Vázquez, R., Ranta, R., Louis-Dorr, V. & Maquin, D. Ocular artifacts removal in scalp EEG: combining ICA and wavelett denoising 2007 5th International Conference on Physics in Signal and Image Processing   inproceedings URL  
Abstract: In this communication we present the first results of a project whose goal is to remove artifacts from electroencephalographic epileptic signals. More precisely the present objective is to remove ocular (blinking) artifacts in simulated and real EEG signal using Independent Component Analysis and wavelet denoising algorithms.
BibTeX:
@inproceedings{ROMOVAZQUEZ:2007:HAL-00122060:1,
  author = {Romo-Vázquez, Rebeca and Ranta, Radu and Louis-Dorr, Valérie and Maquin, Didier},
  title = {Ocular artifacts removal in scalp EEG: combining ICA and wavelett denoising},
  booktitle = {5th International Conference on Physics in Signal and Image Processing},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00122060/en/}
}
Romo-Vázquez, R., Ranta, R., Louis-Dorr, V. & Maquin, D. EEG Ocular Artefacts and Noise Removal 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS'2007   inproceedings DOI URL  
Abstract: The general framework of our research is the pre-processing of the electroencephalographic (EEG) signals. The goal of this paper is to compare several combinations of wavelet denoising (WD) and independent components analyses (ICA) algorithms for noise and artefacts removal. These methods are tested on simulated EEG, using different evaluation criteria. According to our results, the most effective method consists in source separation by SOBI-RO, followed by wavelet denoising by SURE thresholding.
BibTeX:
@inproceedings{ROMOVAZQUEZ:2007:HAL-00167543:1,
  author = {Romo-Vázquez, Rebeca and Ranta, Radu and Louis-Dorr, Valérie and Maquin, Didier},
  title = {EEG Ocular Artefacts and Noise Removal},
  booktitle = {29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS'2007},
  year = {2007},
  pages = {5445-5448 },
  url = {http://hal.archives-ouvertes.fr/hal-00167543/en/},
  doi = {http://dx.doi.org/10.1109/IEMBS.2007.4353577}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Conception d'un observateur PI pour un multimodèle découplé 2007 8ème conférence internationale des Sciences et Techniques de l’Automatique, STA'2007   inproceedings URL  
Abstract: Ce document aborde l'estimation d'état des systèmes non linéaires. L'approche proposée repose sur la représentation du système par un multimodèle découplé. Ce type de multimodèle constitue une alternative au multimodèle dit de Takagi-Sugeno classiquement utilisé. En effet, contrairement à ce dernier, le multimodèle découplé permet l'utilisation d'un vecteur d'état de dimension différente pour chaque sous-modèle et en ce sens, l'approche présentée est originale. L'estimation d'état proposée est effectuée à l'aide d'un observateur de type Proportionnel-Intégral (PI) connu pour ses propriétés de robustesse. La synthèse de ce type d'observateur pour un multimodèle découplé n'a pas fait, à notre connaissance, l'objet de travaux de recherche. Des conditions suffisantes pour garantir la convergence de l'erreur d'estimation sont données sous une forme LMI.
BibTeX:
@inproceedings{ORJUELA:2007:HAL-00188360:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Conception d'un observateur PI pour un multimodèle découplé},
  booktitle = {8ème conférence internationale des Sciences et Techniques de l’Automatique, STA'2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00188360/en/}
}
Ragot, J., Benothman, K., Maquin, D. & Benrejeb, M. Identification robuste en présence de mesures aberrantes 2007 8ème conférence internationale des Sciences et Techniques de l’Automatique, STA'2007   inproceedings URL  
Abstract: On souhaite estimer les paramètres d’un modèle de type ARX à partir de mesures corrompues simultanément par des bruitsà caractère aléatoire de valeurs moyennes nulles et des erreurs systématiques. Pour prendre en compte les deux types d’erreur, on utilise une fonction de distribution de ces erreurs sous forme d’un mélange additif de deux distributions partielles, la première caractérisant les erreurs aléatoires de faibles amplitudes, la seconde permettant de prendre en compte la présence de biais où de valeurs aberrantes de grandes amplitudes
BibTeX:
@inproceedings{RAGOT:2007:HAL-00188465:1,
  author = {Ragot, José and Benothman, Kamel and Maquin, Didier and Benrejeb, Mohamed},
  title = {Identification robuste en présence de mesures aberrantes},
  booktitle = {8ème conférence internationale des Sciences et Techniques de l’Automatique, STA'2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00188465/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. State estimation of nonlinear discrete-time systems based on the decoupled multiple model approach 2007 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007   inproceedings URL  
Abstract: Multiple model approach is a powerful tool for modelling nonlinear systems. Two structures of multiple models can be distinguished. The first structure is characterised by decoupled submodels, i.e. with no common state (decoupled multiple model), in opposition to the second one where the submodels share the same state (Takagi-Sugeno multiple model). A wide number of research works investigate the state estimation of nonlinear systems represented by a classic Takagi-Sugeno multiple model. On the other hand, to our knowledge, the state estimation of the decoupled multiple model has not been investigated extensively. This paper deals with the state estimation of nonlinear systems represented by a decoupled multiple model. Conditions for ensuring the convergence of the estimation error are formulated in terms of a set of Linear Matrix Inequalities (LMIs) employing the Lyapunov direct method.
BibTeX:
@inproceedings{ORJUELA:2007:HAL-00146007:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {State estimation of nonlinear discrete-time systems based on the decoupled multiple model approach},
  booktitle = {4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00146007/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. A decoupled multiple model approach for state estimation of nonlinear systems subject to delayed measurements 2007 3rd IFAC Workshop on Advanced Fuzzy and Neural Control, AFNC 2007   inproceedings URL  
Abstract: The state estimation of nonlinear systems with delayed measurements is investigated in this paper. The proposed approach is based on the representation of the nonlinear system by a decoupled multiple model that, to our knowledge, has not been investigated extensively. This multiple model approach offers an interesting alternative to the classically used multiple model known as Takagi-Sugeno multiple model. Indeed, in contrast to this last, the decoupled multiple model makes it possible to introduce a state vector with a different dimension for each submodel. Sufficient conditions for ensuring the exponential convergence of the estimation error are provided in terms of LMIs.
BibTeX:
@inproceedings{ORJUELA:2007:HAL-00178139:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {A decoupled multiple model approach for state estimation of nonlinear systems subject to delayed measurements},
  booktitle = {3rd IFAC Workshop on Advanced Fuzzy and Neural Control, AFNC 2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00178139/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Active mode estimation for switching systems 2007 26th American Control Conference, ACC'2007   inproceedings DOI URL  
Abstract: Switching systems are a particular class of hybrid systems. They are described by several operating regimes, called modes, each of them being active under certain particular conditions. When the switching mechanism is perfectly known, it is easy to handle such systems because the knowledge of the active regime at any moment is available. On the other hand, in the case where there is no information about the switching mechanism, the situation is more complicated. In this configuration, it is difficult to carry out a fault diagnosis scheme or to synthesize a control law. This paper addresses the issue of the determination of the active mode at any moment, using only the system's input/output data. Conditions that guarantee the uniqueness of the determined active mode are also given.
BibTeX:
@inproceedings{DOMLAN:2007:HAL-00155245:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Active mode estimation for switching systems},
  booktitle = {26th American Control Conference, ACC'2007},
  year = {2007},
  pages = {1143-1148 },
  url = {http://hal.archives-ouvertes.fr/hal-00155245/en/},
  doi = {http://dx.doi.org/10.1109/ACC.2007.4282543}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Conception d'observateurs pour un modèle de Takagi-Sugeno à variables de décision non mesurables 2007 8ème conférence internationale des Sciences et Techniques de l'Automatique, STA'2007   inproceedings URL  
Abstract: Dans cet article, une méthode d’estimation d’état est proposée pour les systèmes non linéaires décrits par un modèle de Takagi-Sugeno ou multi-modèle. La particularité de cette étude réside dans le fait que les fonctions d’activation du modèle dépendent de variables non mesurables (état du système). Les conditions de convergence de l’observateur sont établies en utilisant la deuxième méthode de Lyapunov et une fonction quadratique. Ces conditions sont données sous forme d’inégalités linéaires matricielles.
BibTeX:
@inproceedings{ICHALAL:2007:HAL-00188462:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Conception d'observateurs pour un modèle de Takagi-Sugeno à variables de décision non mesurables},
  booktitle = {8ème conférence internationale des Sciences et Techniques de l'Automatique, STA'2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00188462/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Observer for uncertain Takagi-Sugeno model 2007 15th Mediterranean Conference on Control and Automation, MED'07   inproceedings DOI URL  
Abstract: This paper addresses the analysis and design of a sliding mode observer on the basis of a Takagi-Sugeno (TS) model subject both to unknown inputs and uncertainties. The main contribution of the paper is the development of a robust observer with respect to the uncertainties as well as the synthesis of sufficient stability conditions of this observer. The stabilization of the observer is performed by the search of suitable Lyapunov matrices. It is shown how to determine the gains of the local observers, these gains being solutions of a set of linear matrix inequalities (LMI). The validity of the proposed methodology is illustrated by an academic example.
BibTeX:
@inproceedings{AKHENAK:2007:HAL-00146767:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Observer for uncertain Takagi-Sugeno model},
  booktitle = {15th Mediterranean Conference on Control and Automation, MED'07},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00146767/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Design of observers for Takagi-Sugeno discrete-time systems with immeasurable premise variables 2007 5th Workshop on Advanced Control and Diagnosis, ACD 2007   inproceedings URL  
Abstract: This paper deals with the problem of the state estimation of discrete time nonlinear systems described by Takagi-Sugeno structure with unmeasurable premise variables. The proposed observer design method is based on the use of the second method of Lyapunov and a quadratic function. Based on this procedure two methods are proposed. The convergence conditions of the observer are expressed in terms of Linear Matrix Inequalities (LMI). Finally, these two methods are compared with regard to their domains of validity.
BibTeX:
@inproceedings{ICHALAL:2007:HAL-00188464:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Design of observers for Takagi-Sugeno discrete-time systems with immeasurable premise variables},
  booktitle = {5th Workshop on Advanced Control and Diagnosis, ACD 2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00188464/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. PI observer design for discrete-time decoupled multiple models 2007 5th Workshop on Advanced Control and Diagnosis, ACD 2007   inproceedings URL  
Abstract: This paper deals with the state estimation of nonlinear systems. Our approach is based on the representation of a nonlinear system with the help of a decoupled multiple model. This kind of multiple model constitutes an alternative to the classic Takagi-Sugeno multiple model. Indeed, in opposition to this last, in the decoupled multiple model the dimension (i.e. the number of states) of the submodels may be different. In order to cope with the state estimation problem a Proportional-Integral observer (PIO) is designed. Indeed, in contrast to the classic Proportional observer the PIO is known by its robustness properties. Sufficient conditions for ensuring the estimation error convergence are given in LMI form.
BibTeX:
@inproceedings{ORJUELA:2007:HAL-00188313:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {PI observer design for discrete-time decoupled multiple models},
  booktitle = {5th Workshop on Advanced Control and Diagnosis, ACD 2007},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00188313/en/}
}
Ichalal, D., Marx, B., Ragot, J. & Maquin, D. Conception de multi-observateurs à variables de décision non mesurables 2007 2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS   inproceedings URL  
Abstract: Dans cette communication, nous proposons une méthode d'estimation d'état d'un système non linéaire représenté par un multi-modèle de type Takagi&8722;Sugeno dont les fonctions d'activation dépendent de l'état. Pour cela, nous proposons la synthèse d'un multi-observateur de Luenberger et nous montrons comment déterminer les gains du multi-observateur pour garantir la convergence globale asymptotique vers zéro de l'erreur d'estimation d'état. Les conditions de stabilité et de convergence sont formulées en termes d'inégalités matricielles linéaires (LMI).
BibTeX:
@inproceedings{ICHALAL:2007:HAL-00155270:1,
  author = {Ichalal, Dalil and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Conception de multi-observateurs à variables de décision non mesurables},
  booktitle = {2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00155270/en/}
}
Orjuela, R., Marx, B., Ragot, J. & Maquin, D. Estimation d'état des systèmes non linéaires par une approche multimodèle découplé 2007 2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS   inproceedings URL  
Abstract: L'approche multimodèle représente une alternative intéressante et un outil puissant dans l'identification, la commande ou le diagnostic de systèmes complexes. Ce document aborde la stabilité et la reconstruction d'état, dans une perspective de diagnostic, des systèmes non linéaires représentés par un type particulier de multimodèle. Ce type de multimodèle dit découplé se caractérise par des sous-modèles sans état commun, par opposition au multimodèle classiquement utilisé dit de Takagi-Sugeno où les sous-modèles partagent le même état. Contrairement au multimodèle de Takagi-Sugeno, le multimodèle découplé offre la possibilité d'utiliser un vecteur d'état de dimension différente pour chaque sous-modèle. Des conditions garantissant la convergence de l'erreur d'estimation sont formulées par un ensemble d'inégalités linéaires matricielles (LMI).
BibTeX:
@inproceedings{ORJUELA:2007:HAL-00155271:1,
  author = {Orjuela, Rodolfo and Marx, Benoît and Ragot, José and Maquin, Didier},
  title = {Estimation d'état des systèmes non linéaires par une approche multimodèle découplé},
  booktitle = {2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00155271/en/}
}
Tharrault, Y., Mourot, G., Ragot, J. & Maquin, D. Détection et isolation de défauts par analyse en composantes principales robuste 2007 2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS   inproceedings URL  
Abstract: L’Analyse en Composantes Principales (ACP) est un outil statistique largement utilisé pour l’analyse de données collectées sur des systèmes en cours de fonctionnement afin de surveiller leur comportement. Cependant, d’un point de vue statistique, l’un des inconvénients majeurs de l’approche ACP résulte de l’utilisation de techniques d’estimation par moindres carrés, techniques qui échouent souvent à s’affranchir des biais de mesure accidentels ce qui est malheureusement assez fréquent sur le plan pratique. Cette communication présente une procédure de détection et de localisation de défauts de mesure. La méthode proposée ne nécessite pas d’étude préliminaire relative à la détection et au rejet de valeurs aberrantes ou de grosses erreurs dans les données utilisées pour la conception du modèle ACP. Elle présente l’intérêt d’utiliser directement les données brutes, éventuellement entachées de grosses erreurs, et le modèle ACP est construit à partir de ces données sans filtre préalable, cette construction étant robuste vis-à-vis de la présence de grosses erreurs. Le modèle ACP obtenu étant sain, c’est-à-dire non contaminé par les valeurs aberrantes, son utilisation pour le diagnostic (détection et localisation de défauts de mesure) est alors efficace.
BibTeX:
@inproceedings{THARRAULT:2007:HAL-00170253:1,
  author = {Tharrault, Yvon and Mourot, Gilles and Ragot, José and Maquin, Didier},
  title = {Détection et isolation de défauts par analyse en composantes principales robuste},
  booktitle = {2èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00170253/en/}
}
Marx, B., Mourot, G., Maquin, D. & Ragot, J. Validation et réconciliation de données. Approche conventionnelle, difficultés et développements 2007 Workshop Interdisciplinaire sur la Sécurité Globale, WISG'07   inproceedings URL  
Abstract: On assiste, depuis une bonne dizaine d’années, à un développement considérable de méthodes concourant à l’efficacité du fonctionnement des systèmes technologiques. Ces méthodes s’appliquent lors de la conception d’un système mais aussi dans la phase d’exploitation de ce système. Dans ce cas, les méthodes visent d’une part à mieux connaître à chaque instant le mode de fonctionnement du système en question, et d’autre part, en cas de dysfonctionnement avéré ou de dérive par rapport au fonctionnement souhaité, à réagir sur les paramètres de contrôle du système. Cet exposé est focalisé sur le problème de la validation des mesures, les mesures validées servant précisément à mieux connaître l’état du système. La validation de donnée procède par comparaison des estimés d’une même grandeur et nécessite donc de disposer de redondances qui sont d’ordre matériel ou analytique. Dans cet exposé, trois approches sont considérées correspondant à trois niveaux de redondance : traitement de données par analyse en composantes principales, réconciliation de données à partir de modèles statiques, estimation d’état à partir de modèles dynamiques.
BibTeX:
@inproceedings{MARX:2007:HAL-00195459:1,
  author = {Marx, Benoît and Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Validation et réconciliation de données. Approche conventionnelle, difficultés et développements},
  booktitle = {Workshop Interdisciplinaire sur la Sécurité Globale, WISG'07},
  year = {2007},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00195459/en/}
}
 
Ragot, J. & Maquin, D. Fault measurement detection in a urban water supply network 2006 Journal of Process Control   article DOI URL  
Abstract: For the improvement of the performance of technical processes, faults and abnormal system operation must be detected and identified. For that purpose different approaches for fault detection have been developed and, here, a model-based approach is used. A diagnosis strategy based on fuzzy residual analysis is presented in this paper. The proposed approach uses the analytical redundancy to detect and isolate faults on sensors. After a presentation of its principle, the method is applied to an urban water supply network. Thanks to the use of fuzzy concept, the suggested diagnosis procedure enables to take into account all the available data and knowledge. Moreover, its efficiency has been proved by using experimental data. Therefore, a supervision software has been developed on the basis of this fuzzy based fault isolation method.
BibTeX:
@article{RAGOT:2006:HAL-00092295:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Fault measurement detection in a urban water supply network},
  journal = {Journal of Process Control },
  year = {2006},
  volume = {16 },
  number = {9 },
  pages = {887-902 },
  url = {http://hal.archives-ouvertes.fr/hal-00092295/en/},
  doi = {http://dx.doi.org/10.1016/j.jprocont.2006.06.005}
}
Domlan, E. A., Ragot, J. & Maquin, D. Systèmes à commutation : diagnostic de fonctionnement et identification de la loi de commutation 2006 e-STA, Sciences et Technologies de l'Automatique   article URL  
Abstract: Les systèmes à commutation constituent une classe particulière de systèmes hybrides. Ils sont décrits par plusieurs modèles de fonctionnement et chaque modèle, définissant un mode du système, est actif sous certaines conditions opératoires particulières. Lorsque la loi de commutation régissant le passage d'un modèle de fonctionnement à l'autre est parfaitement connue, il est aisé de manipuler de tels systèmes car le mode actif peut être connu à chaque instant. Par contre, dans la situation où aucune information n'est disponible sur l'évolution de la loi de commutation, il est plus ardu de procéder au diagnostic ou encore de synthétiser une loi de commande sur ces systèmes. Cet article traite de la reconnaissance du mode actif sur la base d'observations de l'entrée et de la sortie du système. L'identification des paramètres de la loi de commutation, lorsque celle-ci est décrite par un modèle de régression, est également considérée.
BibTeX:
@article{DOMLAN:2006:HAL-00119159:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Systèmes à commutation : diagnostic de fonctionnement et identification de la loi de commutation},
  journal = {e-STA, Sciences et Technologies de l'Automatique },
  year = {2006},
  volume = {3 },
  number = {3 },
  pages = {Revue électronique },
  note = {Communication sélectionnée de la Conférence Internationale Francophone d'Automatique, CIFA'2006, Bordeaux, France, 30-31 mai - 1 juin 2006 },
  url = {http://hal.archives-ouvertes.fr/hal-00119159/en/}
}
Ragot, J. & Maquin, D. Validation et réconciliation de données. Approches conventionnelle, difficultés et développements 2006 Les Techniques de l'Industrie Minérale   article URL  
Abstract: On assiste, depuis une bonne dizaine d'années, à un développement considérable de méthodes concourant à l'amélioration de l'efficacité du fonctionnement des systèmes technologiques. Ces méthodes s'appliquent lors de la conception d'un système, mais aussi dans la phase d'exploitation de ce système. Dans ce cas, les méthodes visent, d'une part, à mieux connaître à chaque instant le mode de fonctionnement du système en question, et, d'autre part, en cas de dysfonctionnement avéré ou de dérive par rapport au fonctionnement souhaité, à réagir sur les paramètres de contrôle du système. Cet exposé est focalisé sur le problème de la validation des mesures, les mesures validées servant précisément à mieux connaître l'état du système. La problématique de la validation de mesures est ancienne (une bonne cinquantaine d'années) expliquant ainsi la diversité des méthodes et des outils actuels. L'exposé porte sur la définition de cette problématique, le rappel des outils classiques, la présentation des méthodes récentes, la présentation de quelques cas classiques. On conclut sur les difficultés d'applicabilité et de mise en œuvre ouvrant ainsi la voie vers de futurs développements. Les développements mathématiques sousjacents seront écartés de l'exposé, mais on prendra soin cependant de donner les hypothèses nécessaires à la résolution de certains problèmes et de formuler les problèmes à résoudre. Une bibliographie permettra au lecteur de se référer aux démonstrations éventuelles et aux études de cas.
BibTeX:
@article{RAGOT:2006:HAL-00119161:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Validation et réconciliation de données. Approches conventionnelle, difficultés et développements},
  journal = {Les Techniques de l'Industrie Minérale },
  year = {2006},
  volume = {29 },
  pages = {22-30 },
  url = {http://hal.archives-ouvertes.fr/hal-00119161/en/}
}
Hocine, A., Chadli, M., Maquin, D. & Ragot, J. A discrete-time sliding window observer for markovian switching system 2006 45th IEEE Conference on Decision and Control, CDC06   inproceedings DOI URL  
Abstract: In this paper, a fault detection method is developed for switching dynamic systems. These systems are represented by several linear models, each of them being associated to a particular operating mode. To finding the system operating mode the proposed method is based on mode probabilities and on a new structure of discrete-time observer with a sliding window measurements. This observer results from a combination of a Finite Memory Observer (FMO) and a Luenberger Observer. The stability condition of the observer is formulated in terms of linear matrix inequalities (LMI) using a quadratic Lyapunov function. The method also uses a priori knowledge information about the mode transition probabilities represented by a Markov chain. The proposed algorithm is of supervised nature where the faults to be detected are a priori indexed and modelled. In this work, the method is applied for the fault detection of a linear system characterized by a model of normal operating mode and several fault models. A comparison with the Generalized Pseudo-Bayesian method shows the validity and some advantages of the suggested method.
BibTeX:
@inproceedings{HOCINE:2006:HAL-00121698:1,
  author = {Hocine, Abdelfettah and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {A discrete-time sliding window observer for markovian switching system},
  booktitle = {45th IEEE Conference on Decision and Control, CDC06},
  year = {2006},
  pages = {2661-2666 },
  url = {http://hal.archives-ouvertes.fr/hal-00121698/en/},
  doi = {http://dx.doi.org/10.1109/CDC.2006.377684}
}
Ragot, J., Maquin, D. & Adrot, O. Parameter uncertainties characterisation for linear models 2006 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2006   inproceedings URL  
Abstract: Parameter estimation mainly consists in characterising a parameter set consistent with measurements, the model and the equation error description. The problem to be solved is that of finding the set of admissible parameter values corresponding to an admissible error. The uncertainties must be treated by a global analysis of the problem: both the equation error and the parameter set are considered unknown. Then, a solution is given as a domain of time-variant parameters and a bounded set of the error. This procedure consists in explaining the measurements performed at all time by optimising a precision criterion based on the polytope theory.
BibTeX:
@inproceedings{RAGOT:2006:HAL-00086479:1,
  author = {Ragot, José and Maquin, Didier and Adrot, Olivier},
  title = {Parameter uncertainties characterisation for linear models},
  booktitle = {6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2006 },
  year = {2006},
  note = {SD },
  url = {http://hal.archives-ouvertes.fr/hal-00086479/en/}
}
Maquin, D., Ragot, J., Ben Hmida, F. & Gossa, M. Robust parameter estimation with noisy data 2006 Seventh International Conference on Sciences and Techniques of Automatic Control, STA'2006, Hammamet, Tunisia   inproceedings URL  
Abstract: For process control improvement, coherency of information supplied by instrument lines and sensors must first be ensured; because of the presence of random and possibly gross errors, the model equations of the process are not generally satisfied. Moreover, the parameters of the considered model are not always exactly known. The problem of how to reconcile the measurements so that they satisfy the model constraints is considered in this article. The simultaneous presence of measurement errors in process input and output measurements coupled with the model parameter uncertainty poses serious problem in the rectification of data. In that paper, the problem is solved using a special filter to estimate both the parameters, the input and the output of a process represented by an autoregressive model.
BibTeX:
@inproceedings{MAQUIN:2006:HAL-00119417:1,
  author = {Maquin, Didier and Ragot, José and Ben Hmida, Fayçal and Gossa, Moncef},
  title = {Robust parameter estimation with noisy data},
  booktitle = {Seventh International Conference on Sciences and Techniques of Automatic Control, STA'2006, Hammamet, Tunisia },
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00119417/en/}
}
Ragot, J., Maquin, D., Benothman, K. & Benrejeb, M. Estimation d'état et diagnostic de systèmes à paramètres incertains – Approche intervalle 2006 Seventh International Conference on Sciences and Techniques of Automatic Control, STA'2006   inproceedings URL  
Abstract: L'estimation est l'un des concepts les plus utilisés en automatique, dans les domaines de l'identification, de l'observation, de la commande et du diagnostic. Le cas des systèmes linéaires à paramètres constants est bien résolu ainsi que l'extension aux systèmes à paramètres variables. Lorsque les systèmes sont affectés de perturbations non mesurées, la problématique est plus délicate et les approches à erreurs bornées peuvent donner des éléments de réponse. On examine ici le problème de détection de défauts avec cette hypothèse de bornitude.
BibTeX:
@inproceedings{RAGOT:2006:HAL-00119416:1,
  author = {Ragot, José and Maquin, Didier and Benothman, Kamel and Benrejeb, Mohamed},
  title = {Estimation d'état et diagnostic de systèmes à paramètres incertains – Approche intervalle},
  booktitle = {Seventh International Conference on Sciences and Techniques of Automatic Control, STA'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00119416/en/}
}
Baïkeche, H., Marx, B., Maquin, D. & Ragot, J. On parametric and nonparametric fault detection in linear closed-loop systems 2006 Workshop on Advanced Control and Diagnosis, ACD'2006   inproceedings URL  
Abstract: This paper deals with the problem of fault detection and isolation (FDI) in linear closed loop control systems. The presented approach uses model based techniques applied to linear systems. The residual generator proposed in the following is derived from transfer function representation of both open and closed loop system, and it is designed to be sensitive to parametric faults (e.g. actuator, process and sensor faults) and nonparametric faults (e.g. unknown inputs) which can occur in the plant.
BibTeX:
@inproceedings{BAIKECHE:2006:HAL-00119376:1,
  author = {Baïkeche, Hamid and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {On parametric and nonparametric fault detection in linear closed-loop systems},
  booktitle = {Workshop on Advanced Control and Diagnosis, ACD'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00119376/en/}
}
Orjuela, R., Maquin, D. & Ragot, J. Nonlinear system identification using uncoupled state multiple-model approach 2006 Workshop on Advanced Control and Diagnosis, ACD'2006   inproceedings URL  
Abstract: Multiple-model approach is an interesting alternative and a powerful tool for modelling complex processes. This paper deals with the off-line identification of non-linear systems employing the multiple-model approach. We use an uncoupled state multiple-model in opposition to the classically used coupled state multiplemodel (Takagi-Sugeno). The use of this new mutiple-model structure reveals a new undesirable phenomenon, called unhooking, that deteriorates the quality of the obtained approximation. An original solution is proposed to avoid this phenomenon.
BibTeX:
@inproceedings{ORJUELA:2006:HAL-00119411:1,
  author = {Orjuela, Rodolfo and Maquin, Didier and Ragot, José},
  title = {Nonlinear system identification using uncoupled state multiple-model approach},
  booktitle = {Workshop on Advanced Control and Diagnosis, ACD'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00119411/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Unknown input multiple observer based approach. Application to secure communications. 2006 1st IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS06   inproceedings URL  
Abstract: This paper presents multiple observer design for nonlinear chaotic sys- tems with unknown inputs in multiple model approach. The considered unknown inputs influences the states and the outputs of the system. The main objective is to estimate the state variables as well as the unknown inputs of this system. For that, we propose the synthesis of a multiple observer based on the elimination of these unknown inputs. The synthesis conditions of the proposed multiple observer are derived in linear matrix inequalities (LMI) terms. The proposed method is applied to secure communication. An simulation example is given to illustrate the effectiveness of the proposed synthesis conditions.
BibTeX:
@inproceedings{AKHENAK:2006:HAL-00092056:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Unknown input multiple observer based approach. Application to secure communications.},
  booktitle = {1st IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS06},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00092056/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Synthèse d'un multiobservateur robuste pour multimodèle incertain à entrées inconnues : approche LMI. 2006 Conférence Internationale Francophone d'Automatique, CIFA'2006   inproceedings URL  
Abstract: Dans cet article, nous proposons une méthode d'estimation d'état d'un système non linéaire incertain représenté par un multimodèle dit également de type Takagi-Sugeno et soumis à l'influence d'entrées inconnues. Pour cela, on propose la synthèse d'un multiobservateur à mode glissant basée sur la compensation des effets des incertitudes et des entrées inconnues. On montre comment déterminer les gains du multiobservateur pour une convergence globale asymptotique. Les conditions de synthèse sont formulées en terme d'inégalités matricielles linéaires (LMI). Ces conditions sont par la suite relachées par l'introduction de variables additives constituants ainsi des degrés de liberté supplémentaires. Un exemple numérique illustre la robustesse du multiobservateur proposé vis-à-vis de ces incertitudes et la relaxation apportée.
BibTeX:
@inproceedings{AKHENAK:2006:HAL-00092071:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Synthèse d'un multiobservateur robuste pour multimodèle incertain à entrées inconnues : approche LMI.},
  booktitle = {Conférence Internationale Francophone d'Automatique, CIFA'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00092071/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Systèmes à commutation : diagnostic de fonctionnement et identification de la loi de commutation. 2006 Conférence Internationale Francophone d'Automatique, CIFA'2006   inproceedings URL  
Abstract: Les systèmes à commutation constituent une classe particulière de systèmes hybrides. Ils sont décrits par plusieurs modèles de fonctionnement et chaque modèle, définissant un mode du système, est actif sous certaines conditions opératoires particulières. Lorsque la loi de commutation régissant le passage d'un modèle de fonctionnement à l'autre est parfaitement connue, il est aisé de manipuler de tels systèmes car le mode actif peut être connu à chaque instant. Par contre, dans la situation où aucune information n'est disponible sur l'évolution de la loi de commutation, il est plus ardu de procéder au diagnostic ou encore de synthétiser une loi de commande sur ces systèmes. Cet article traite de la reconnaissance du mode actif sur la base d'observations de l'entrée et de la sortie du système. L'identification des paramètres de la loi de commutation, lorsque celle-ci est décrite par un modèle de régression, est également considérée.
BibTeX:
@inproceedings{DOMLAN:2006:HAL-00092093:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Systèmes à commutation : diagnostic de fonctionnement et identification de la loi de commutation.},
  booktitle = {Conférence Internationale Francophone d'Automatique, CIFA'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00092093/en/}
}
Orjuela, R., Maquin, D. & Ragot, J. Identification des systèmes non linéaires par une approche multi-modèle à états découplés 2006 Journées Identification et Modélisation Expérimentale, JIME'2006   inproceedings URL  
Abstract: Les sciences de l'ingénieur font largement appel aux modèles non linéaires pour décrire les comportements dynamiques des systèmes physiques réels. Ces modèles peuvent cependant s'avérer difficiles à obtenir et/ou à manipuler dans un objectif d'identification, de commande ou de diagnostic. Les multi-modèles offrent une alternative intéressante pour contourner ces difficultés car ils permettent de prendre en compte la présence de plusieurs modes de fonctionnement. Cet article traite de l'identification hors ligne des systèmes non linéaires par une approche multi-modèle à états découplés par opposition au multi-modèle à états couplés (Takagi-Sugeno) classiquement utilisé. Une modification de la structure originale du multi-modèle à états découplés est proposée afin d'éviter le phénomène de décrochage qui nuit considérablement à la procédure d'identification et détériore la qualité de l'approximation obtenue.
BibTeX:
@inproceedings{ORJUELA:2006:HAL-00115198:1,
  author = {Orjuela, Rodolfo and Maquin, Didier and Ragot, José},
  title = {Identification des systèmes non linéaires par une approche multi-modèle à états découplés},
  booktitle = {Journées Identification et Modélisation Expérimentale, JIME'2006},
  year = {2006},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00115198/en/}
}
 
Ragot, J., Chadli, M. & Maquin, D. Mass balance equilibration: a robust approach using contaminated distribution 2005 AIChE Journal   article DOI URL  
Abstract: The problem of obtaining reliable estimates of the state of a process is a fundamental objective in process supervision, these estimates being used to understand the process behaviour. Measurements are collected in order to know, at each time, the behaviour of the process and give a way to verify if its functioning is those that has been defined and given by the user. For that purpose, a wide variety of techniques has been developed to perform what is currently known as data reconciliation: the underlying idea is to check if the measurements fulfil the model of the process and, if it is not the case, to analyse what are the noises affecting the measurements and finally to correct the measurements. Unfortunately, the measurements may be unknowingly corrupted by gross errors which effects are added to those of the noise. As a result, the data reconciliation procedure can give rise to absurd results and the estimated variables are corrupted by this bias. Several schemes have been suggested to cope with the corruption of normal assumption of the errors by detecting a priori or a posteriori gross errors. Among them, an approach consists to take into account the non ideality of the measurement error distribution using an objective function constructed on contaminated error distribution. This approach has been developed for data reconciliation and has been tested on several applications. In this paper, we restrict our analysis to processes described by linear and bilinear mass balance equations. However, despite this limitation, this kind of models are of current use because they allow to describe total mass and partial mass balances. In the following, we adopt and develop the using of contaminated data distribution for the data reconciliation problem. Section 2 is devoted to shortly recall the background of data reconciliation problem. In Section 3, the proposed robust data reconciliation method is developed. It is thereafter illustrated through an academic example in Section 4.
BibTeX:
@article{RAGOT:2005:HAL-00009001:1,
  author = {Ragot, José and Chadli, Mohammed and Maquin, Didier},
  title = {Mass balance equilibration: a robust approach using contaminated distribution},
  journal = {AIChE Journal },
  year = {2005},
  volume = {51 },
  number = {5 },
  pages = {1569-1575 },
  note = {05-AS-033 },
  url = {http://hal.archives-ouvertes.fr/hal-00009001/en/},
  doi = {http://dx.doi.org/10.1002/aic.10412}
}
Chadli, M., Maquin, D. & Ragot, J. Stability analysis and design for continuous-time Takagi-Sugeno control systems 2005 International Journal of Fuzzy Systems   article URL  
Abstract: This paper discusses conditions on stability and stabilization of continuous Takagi-Sugeno (T-S) systems. Stability analysis is derived via nonquadratic Lyapunov function method and LMIs (Linear Matrix Inequalities) formulation. The nonquadratic Lyapunov function is built by inference of quadratic Lyapunov function on the same basis as the T-S model itself. We show that stability condition of the open-loop T-S systems is assured under certain restrictions on the rate of change of state variables. Following a similar approach, stabilization of the closed-loop continuous T-S systems using the well-known PDC (Parallel Distributed Compensation) technique is investigated. The design methodology is illustrated by numerical examples.
BibTeX:
@article{CHADLI:2005:HAL-00143998:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Stability analysis and design for continuous-time Takagi-Sugeno control systems},
  journal = {International Journal of Fuzzy Systems },
  year = {2005},
  volume = {7 },
  number = {3 },
  pages = {101-109 },
  note = {The international Journal of Fuzzy Systems is published quartely by the Taiwan Fuzzy Systems Association (TFSA) },
  url = {http://hal.archives-ouvertes.fr/hal-00143998/en/}
}
Ragot, J., Maquin, D. & Alhaj-Dibo, M. Linear mass balance equilibration: a new approach for an old problem 2005 ISA Transactions   article DOI URL  
Abstract: Interval analyses are well known in the mathematics literature but have found few applications in control engineering. Based on the interval concept, we present here a methodology for data reconciliation and mass balance equilibration which is a very classical problem in mineral and chemical engineering. Indeed, this problem is solved with the view of inequality constraints which allows us to represent measurements by interval without particular knowledge and hypothesis about the density probability function of the measurement errors. As a main result, the paper gives a set of solutions for the reconciled data under an interval form and not only one solution as is the case with classical approaches.
BibTeX:
@article{RAGOT:2005:HAL-00011216:1,
  author = {Ragot, José and Maquin, Didier and Alhaj-Dibo, Moustapha},
  title = {Linear mass balance equilibration: a new approach for an old problem},
  journal = {ISA Transactions },
  year = {2005},
  volume = {44 },
  number = {1 },
  pages = {23-25 },
  note = {05-AS-021 },
  url = {http://hal.archives-ouvertes.fr/hal-00011216/en/},
  doi = {http://dx.doi.org/10.1016/S0019-0578(07)60042-1}
}
Hocine, A., Maquin, D. & Ragot, J. Identification de systèmes à commutation 2005 e-STA, Sciences et Technologies de l'Automatique   article URL  
Abstract: L'objectif de cette étude est l'estimation de l'état d'un système à modes multiples connaissant ses entrées et ses sorties. La difficulté sous-jacente est liée au fait que la matrice d'état du système n'est pas unique mais prend ses valeurs dans un ensemble fini à valeurs non connues. Le problème posé concerne donc la reconnaissance de la matrice d'état active à un instant donné, l'estimation des paramètres de cette matrice d'état et l'estimation de l'état du système. Se basant sur le principe utilisé dans l'approche EM (expectation maximization) mais sans utiliser de variables dites cachées pour affecter les données aux modes de fonctionnement, on propose une estimation simultanée des paramètres des modèles caractérisant les modes de fonctionnement et des instants de commutation d'un mode à un autre.
BibTeX:
@article{HOCINE:2005:HAL-00143976:1,
  author = {Hocine, Abdelfettah and Maquin, Didier and Ragot, José},
  title = {Identification de systèmes à commutation},
  journal = {e-STA, Sciences et Technologies de l'Automatique },
  year = {2005},
  volume = {2 },
  number = {3 },
  pages = {Revue électronique },
  note = {Communication sélectionnée des Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005, Lyon, France, 5-7 septembre 2005 },
  url = {http://hal.archives-ouvertes.fr/hal-00143976/en/}
}
Akhenak, A., Maquin, D. & Ragot, J. Process input estimation with a multi-model. Application to communication 2005 13th Mediterranean Conference on Control and Automation, MED'05   inproceedings URL  
Abstract: This is paper is dedicated to the synthesis of a multiple observer. The considered system is represented by a (nonlinear) multiple model with unknown inputs. Stability conditions of such observer are expressed in terms of linear matrix inequalities (LMI). An example of simulation is given to illustrate the proposed method.
BibTeX:
@inproceedings{AKHENAK:2005:HAL-00151267:1,
  author = {Akhenak, Abdelkader and Maquin, Didier and Ragot, José},
  title = {Process input estimation with a multi-model. Application to communication},
  booktitle = {13th Mediterranean Conference on Control and Automation, MED'05},
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151267/en/}
}
Chadli, M., Ragot, J. & Maquin, D. Quadratic stability and stabilisation of interval Takagi-Sugeno model: LMI approach 2005 13th Mediterranean Conference on Control and Automation, MED'05   inproceedings DOI URL  
Abstract: This paper deals with the stability analysis of interval Takagi-Sugeno model. Based on a quadratic Lyapunov function, new asymptotic stability conditions for continuous case are presented without any assumption on the norm of matrices uncertainties. This result is obtained directly according to the bounds (minimal and maximum) of the intervals of each element of matrices representing the system. These stability conditions, extended to the design of controller, are formulated in terms of linear matrix inequalities (LMI). Example is given to illustrate the proposed method.
BibTeX:
@inproceedings{CHADLI:2005:HAL-00151268:1,
  author = {Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Quadratic stability and stabilisation of interval Takagi-Sugeno model: LMI approach},
  booktitle = {13th Mediterranean Conference on Control and Automation, MED'05},
  year = {2005},
  pages = {1035-1038 },
  url = {http://hal.archives-ouvertes.fr/hal-00151268/en/},
  doi = {http://dx.doi.org/10.1109/.2005.1467156}
}
Hocine, A., Maquin, D. & Ragot, J. Finite memory observer for switching systems: Application to diagnosis 2005 16th IFAC World Congress   inproceedings URL  
Abstract: In this paper, a fault detection method is developed for switching dynamic systems with unknown inputs. These systems are represented by several linear models, each of them being associated to a particular operating mode. The proposed method is based on Finite Memory Observers and mode probabilities with the aim of finding the system operating mode and estimating the unknown input. The method also uses a priori knowledge information about the mode transition probabilities represented by a Markov chain. The proposed algorithm is of supervised nature where the faults to be detected are a priori indexed and modelled. In this work, the method is applied for the fault detection of a linear system characterized by a model of normal operating mode and several fault models. Then, it applied for fault detection in the case of a linear system with unknown input where state and unknown input estimation are done simultaneously. A comparison with the Generalized Pseudo-Bayesian method shows the validity and some advantages of the suggested method.
BibTeX:
@inproceedings{HOCINE:2005:HAL-00151264:1,
  author = {Hocine, Abdelfettah and Maquin, Didier and Ragot, José},
  title = {Finite memory observer for switching systems: Application to diagnosis},
  booktitle = {16th IFAC World Congress},
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151264/en/}
}
Ragot, J. & Maquin, D. Data reconciliation: a robust approach using contaminated distribution. Application to a petrochemical process 2005 16th IFAC World Congress   inproceedings URL  
Abstract: On-line optimisation provides a means for maintaining a process around its optimum operating range. An important component of optimisation relies in data reconciliation which is used for obtaining consistent data. On a mathematicalpoint of view, the formulation is generally based on the assumption that the measurement errors have Gaussian probability density function (pdf) with zero mean. Unfortunately, in the presence of gross errors, all of the adjustments are greatly affected by such biases and would not be considered as reliable indicators of the state of the process. This paper proposes a data reconciliation strategy that deals with the presence of such gross errors. Application to total flowrate and concentration data in a petroleum network transportation is provided
BibTeX:
@inproceedings{RAGOT:2005:HAL-00151265:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Data reconciliation: a robust approach using contaminated distribution. Application to a petrochemical process},
  booktitle = {16th IFAC World Congress},
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151265/en/}
}
Ragot, J. & Maquin, D. Data validation and diagnosis using interval analysis 2005 Workshop on Advanced Control and Diagnosis   inproceedings URL  
Abstract: Parameter or state estimation plays an important role in numerous engineering fields such as function estimation, system identification, controler design, data validation, diagnosis. Classical estimation methods compute the parameters so that the mean-squared error between the model output and the observed response is minimized. A robust approach to the estimation problem may be used when the error is bounded. This approach, called parameter set estimation, aims to find the feasible set of parameters consistent with all observed data and error bounds. State and parameter estimation problems are usually solved by statistical approaches, which are relevant when an explicit characterization of the perturbances is available. Unfortunately, it is often difficult to get this information and, in some cases, it is more natural to assume that all perturbations (measurement and modelling errors, model uncertainty), belong to a known set. In this case, guaranteed estimation, also known as bounded-error estimation, allows the characterization of the whole set of state or parameter vectors that are compatible with the measured data, the model of the process and the error bounds. This paper deals with model based data validation and fault detection-isolation considering the effect of model uncertainty, these uncertainties being represented by interval values.
BibTeX:
@inproceedings{RAGOT:2005:HAL-00151263:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Data validation and diagnosis using interval analysis},
  booktitle = {Workshop on Advanced Control and Diagnosis },
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151263/en/}
}
Domlan, E. A., Maquin, D. & Ragot, J. Diagnostic des systèmes à commutation : identification de la loi de commutation 2005 Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005   inproceedings URL  
Abstract: Les systèmes à commutation représentent une classe particulière de systèmes hybrides. Ils sont décrits par plusieurs modèles de fonctionnement et chaque modèle, appelé mode du système, est actif sous certaines conditions opératoires particulières, conditions qui peuvent être maîtrisées ou non. Lorsque la loi de commutation régissant le passage d'un modèle de fonctionnement à l'autre est parfaitement connue, il est aisé de manipuler de tels systèmes car le mode actif à chaque instant peut être connu. Par contre, dans la situation où aucune information n'est disponible sur la loi de commutation, il est plus ardu de procéder au diagnostic ou encore de synthétiser une loi de commande sur ces systèmes. Cet article propose une approche permettant de procéder à l'identification des paramètres de la loi de commutation à partir des entrées et sorties du système. Il est également abordé de façon sommaire le problème de la reconnaissance du mode actif à tout instant.
BibTeX:
@inproceedings{DOMLAN:2005:HAL-00208081:1,
  author = {Domlan, Elom Ayih and Maquin, Didier and Ragot, José},
  title = {Diagnostic des systèmes à commutation : identification de la loi de commutation},
  booktitle = {Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005},
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00208081/en/}
}
Baïkeche, H., Marx, B., Maquin, D. & Ragot, J. Placement de capteurs pour le diagnostic des systèmes linéaires en boucle fermée 2005 Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005   inproceedings URL  
Abstract: Cet article présente une méthode de diagnostic des systèmes linéaires en boucle fermée. La méthode est basée sur l'étude de la sensibilité des signaux aux différents points de la boucle par rapport aux défauts capteur et actionneur afin de déterminer l’emplacement optimal de prise de mesure des signaux pour la génération de résidus (méthode à base d'observateurs ou espace de parité). L'influence du gain de la chaîne de retour sur le résidu est aussi traitée, nous montrons en particulier que pour un système du second ordre cette influence est nulle.
BibTeX:
@inproceedings{BAIKECHE:2005:HAL-00208080:1,
  author = {Baïkeche, Hamid and Marx, Benoît and Maquin, Didier and Ragot, José},
  title = {Placement de capteurs pour le diagnostic des systèmes linéaires en boucle fermée},
  booktitle = {Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005},
  year = {2005},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00208080/en/}
}
 
Ragot, J. & Maquin, D. Reformulation of data reconciliation problem with unknown-but-bounded errors 2004 Industrial & Engineering Chemistry Research   article DOI URL  
Abstract: In this paper, a new formulation of the problem of mass and energy balance equilibration in the case of unknown-but-bounded errors is proposed. The bounds of the errors are specified over both a measurement noise and the balance equations. Both bounds are mainly motivated by experimental considerations of the measurement precision; with a more general interpretation, they can be considered as parameters that the user has to adjust to make the reconciliation possible. The method is particularly suitable for linear models but has been extended to nonlinear ones as well. Simulations provide results that compare favorably with those of classical reconciliation methods involving maximum likelihood estimation based on statistical knowledge of the measurement errors.
BibTeX:
@article{RAGOT:2004:HAL-00143978:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Reformulation of data reconciliation problem with unknown-but-bounded errors},
  journal = {Industrial & Engineering Chemistry Research },
  year = {2004},
  volume = {43 },
  number = {6 },
  pages = {1530-1536 },
  url = {http://hal.archives-ouvertes.fr/hal-00143978/en/},
  doi = {http://dx.doi.org/10.1021/ie020213s}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Estimation d'état et d'entrées inconnues d'un système non linéaire représenté sous forme multimodèle 2004 e-STA, Sciences et Technologies de l'Automatique   article URL  
Abstract: Dans cet article, nous proposons une méthode d'estimation d'état d'un système non linéaire représenté par un multimodèle soumis à l'influence d'entrées inconnues. L'objectif est d'estimer simultanément l'état et les entrées inconnues. Pour cela, on propose la synthèse d'un multiobservateur basée sur l'élimination de ces entrées inconnues. On montre comment déterminer les gains du multiobservateur, qui sont solutions d'un ensemble d'inégalités linéaires matricielles (LMI). Ensuite, nous proposons une méthode originale pour l'estimation des entrées inconnues. Un exemple académique illustre les performances du multiobservateur proposé.
BibTeX:
@article{AKHENAK:2004:HAL-00151262:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Estimation d'état et d'entrées inconnues d'un système non linéaire représenté sous forme multimodèle},
  journal = {e-STA, Sciences et Technologies de l'Automatique },
  year = {2004},
  volume = {1 },
  number = {4 },
  pages = {Revue électronique },
  note = {Communication sélectionnée de la Conférence Internationale Francophone d'Automatique, CIFA'2004, Douz, Tunisie, 22-24 novembre 2004 },
  url = {http://hal.archives-ouvertes.fr/hal-00151262/en/}
}
Hocine, A., Maquin, D. & Ragot, J. Observateur à mémoire finie pour les systèmes à commutations : application à la détection de défauts 2004 e-STA, Sciences et Technologies de l'Automatique   article URL  
Abstract: Dans cet article, nous développons une méthode pour la détection de défauts et l'estimation d'entrées inconnues affectant un système dynamique représenté par plusieurs modèles (système non linéaire, système à commutations ... ) Chaque modèle étant associé à un régime de fonctionnement, la méthode proposée détermine également le modèle actif à un instant particulier. Cette méthode est basée sur l'utilisation des Observateurs à Mémoire Finie et le calcul de probabilités d'activation des modèles dans le but d'identifier le mode de fonctionnement du système et d'estimer l'entrée inconnue ; il s'appuie également sur la connaissance d'information a priori sur les commutations entre les différents modes de fonctionnement, représentées par une chaîne de Markov. L'algorithme proposé appartient à la classe des algorithmes supervisés dans le sens où les défauts à détecter sont a priori répertoriés et modélisés. Dans un premier temps, la méthode est utilisée pour la détection de défauts dans le cas d'un système linéaire caractérisé par un modèle de bon fonctionnement et plusieurs modéles de défaut. Ensuite, elle est appliquée pour la détection de défauts dans le cas d'un système linéaire avec entrée inconnue. On procède alors simultanément à la détection de défauts et à l'estimation de l'entrée inconnue ; une comparaison avec la méthode GPB est effectuée dans le but de montrer les avantages de la méthode proposée.
BibTeX:
@article{HOCINE:2004:HAL-00143977:1,
  author = {Hocine, Abdelfettah and Maquin, Didier and Ragot, José},
  title = {Observateur à mémoire finie pour les systèmes à commutations : application à la détection de défauts},
  journal = {e-STA, Sciences et Technologies de l'Automatique },
  year = {2004},
  volume = {1 },
  number = {4 },
  pages = {Revue électronique },
  note = {Communication sélectionnée de la Conférence Internationale Francophone d'Automatique, CIFA'2004, Douz, Tunisie, 22-24 novembre 2004 },
  url = {http://hal.archives-ouvertes.fr/hal-00143977/en/}
}
Akhenak, A., Chadli, M., Maquin, D. & Ragot, J. State estimation of uncertain multiple model with unknown inputs 2004 43rd IEEE Conference on Decision and Control, CDC'04   inproceedings URL  
Abstract: This paper is dedicated to the synthesis of a sliding mode multiple observer. The considered systems are represented by an uncertain (nonlinear) multiple model with unknown inputs. Stability conditions of such observers are expressed in terms of linear matrix inequalities (LMI). An example of simulation is given to illustrate the proposed method.
BibTeX:
@inproceedings{AKHENAK:2004:HAL-00151289:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {State estimation of uncertain multiple model with unknown inputs},
  booktitle = {43rd IEEE Conference on Decision and Control, CDC'04},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151289/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Design of robust observer for uncertain Takagi-Sugeno models 2004 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2004   inproceedings URL  
Abstract: This paper deals with the robust fuzzy observer design problem for a class of uncertain nonlinear system represented by Takagi-Sugeno model. Stability conditions of such observers are expressed in terms of linear matrix inequalities (LMI). An example of simulation is given to illustrate the proposed method.
BibTeX:
@inproceedings{AKHENAK:2004:HAL-00151295:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Design of robust observer for uncertain Takagi-Sugeno models},
  booktitle = {IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2004 },
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151295/en/}
}
Chadli, M., Maquin, D. & Ragot, J. Stabilisation of Takagi-Sugeno models with maximum convergence rate 2004 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2004   inproceedings URL  
Abstract: This paper deals with the stabilization of Takagi-Sugeno (T-S) models using state feedback controllers. Relaxed sufficient exponential stability conditions are given for both continuous and discrete multiple models. The stability conditions of the closed loop multiple models are expressed in linear matrix inequalities (LMI) form. To optimize the degree of stability, a formulation in term of generalized eigenvalues problem (GEVP) is proposed.
BibTeX:
@inproceedings{CHADLI:2004:HAL-00151296:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Stabilisation of Takagi-Sugeno models with maximum convergence rate},
  booktitle = {IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2004},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151296/en/}
}
Ragot, J., Hocine, A. & Maquin, D. Parameter estimation of switching systems 2004 International Conference on Computational Intelligence for Modelling, Control and Automation, CIMCA'2004   inproceedings URL  
Abstract: Since several decades, researchers have been interested in various types of generalized regression models which admit changing parameter values at different time periods. The so-called regime switching models have given a lot of application in the fields of modelling of complex systems, robust identification, detection of behavior change and more generally in process diagnosis. Here, we examine the case where the change in regime cannot be directly observed but may be estimated from observed variables (the input and the output of the process). For that purpose, the well known EM (expectation-maximisation) approach may be applied; to take into account the switches between the regimes, new variables (generally known as hidden or missing) are introduced in order to construct a complete data likelihood function. In this paper, we show (i) how to directly formulate the estimation problem without introducing new variables, (ii) a natural way to solve the obtained equations using hierarchical calculus. An example is given to illustrate how to use the proposed approach.
BibTeX:
@inproceedings{RAGOT:2004:HAL-00151298:1,
  author = {Ragot, José and Hocine, Abdelfettah and Maquin, Didier},
  title = {Parameter estimation of switching systems},
  booktitle = {International Conference on Computational Intelligence for Modelling, Control and Automation, CIMCA'2004 },
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151298/en/}
}
Ragot, J., Chadli, M. & Maquin, D. Data reconciliation: a robust approach using contaminated distribution 2004 American Control Conference, ACC'2004   inproceedings URL  
Abstract: On-line optimisation provides a means for maintaining a process around its optimum operating plant. An important component of optimisation relies in data reconciliation which is used for obtaining consistent data. On a mathematical point of view, the formulation is generally based on the assumption that the measurement errors have normally pdf with zero mean. Unfortunately, in the presence of gross errors, all of the adjustments are greatly affected by such biases and would not be considered as reliable indicators of the state of the process. This paper proposes a data reconciliation strategy that deals with the presence of such gross errors.
BibTeX:
@inproceedings{RAGOT:2004:HAL-00151299:1,
  author = {Ragot, José and Chadli, Mohammed and Maquin, Didier},
  title = {Data reconciliation: a robust approach using contaminated distribution},
  booktitle = {American Control Conference, ACC'2004},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151299/en/}
}
Hocine, A., Maquin, D. & Ragot, J. Finite memory observer for switching system: application to diagnosis 2004 Workshop on Advanced Control and Diagnosis   inproceedings URL  
Abstract: In this paper, we develop a fault detection method for switching dynamic systems with unknown inputs. These systems are represented by several linear models, each of them being associated to a particular operation mode. The proposed method is based on the use of Finite Memory Observers and mode probabilities with the aim to finding the operating mode of the system and estimating the unknown input. The resulting method also uses the knowledge of a priori information on the mode transition probabilities represented by a Markov chain. The proposed algorithm belongs to the class of the supervised algorithms where the fault to be detected are a priori indexed and modelled. First, the method is used for fault detection in the case of a linear system characterized by a normal model of operation and several fault models. Then, it applies for fault detection in the case of a linear system with unknown input where state and unknown input estimation are done simultaneously. A comparison with the Generalized Pseudo- Bayesian method is carry out showing the advantages of the suggested method.
BibTeX:
@inproceedings{HOCINE:2004:HAL-00151291:1,
  author = {Hocine, Abdelfettah and Maquin, Didier and Ragot, José},
  title = {Finite memory observer for switching system: application to diagnosis},
  booktitle = {Workshop on Advanced Control and Diagnosis },
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151291/en/}
}
Domlan, E. A., Ragot, J. & Maquin, D. Distinguishability of switching system for diagnosis 2004 Workshop on Advanced Control and Diagnosis   inproceedings URL  
Abstract: This article tackles the problem of the diagnosis of switching systems. These systems are described by several regimes, each of them being active under certain particular operating conditions which can be controlled or not. If the operating conditions are unknown, the diagnosis of such systems is complex. It is even more complicated in the situation where the various models of the operating regimes of the switching system tend to give very close outputs when they are excited with the same inputs. Moreover the disturbing effect of the measurement noise can make the diagnosis unrealizable. It is then necessary to specify the conditions under which one can find the active operating regime of a switching system from the only knowledge of the inputs applied to the system and its outputs.
BibTeX:
@inproceedings{DOMLAN:2004:HAL-00151290:1,
  author = {Domlan, Elom Ayih and Ragot, José and Maquin, Didier},
  title = {Distinguishability of switching system for diagnosis},
  booktitle = {Workshop on Advanced Control and Diagnosis},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151290/en/}
}
Chadli, M., Ragot, J. & Maquin, D. Multiquadratic stability and stabilization of continuous-time multiple-model 2004 11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004   inproceedings URL  
Abstract: This paper deals with the stability analysis of a system represented by a multiple model. Based on a multiquadratic Lyapunov function candidate (MQLF), new asymptotic stability conditions for continuous case are presented in linear matrix inequalities (LMI) form. These stability conditions, extended to the controller synthesis, are formulated in bilinear matrix inequalities (BMI). Examples illustratre the proposed approach.
BibTeX:
@inproceedings{CHADLI:2004:HAL-00151293:1,
  author = {Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Multiquadratic stability and stabilization of continuous-time multiple-model},
  booktitle = {11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151293/en/}
}
Alhaj-Dibo, M., Maquin, D. & Ragot, J. Data reconciliation: a robust approach using contaminated distribution. Application in mineral processing for multicomponent products 2004 11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004   inproceedings URL  
Abstract: On-line optimisation provides a means for maintaining a process around its optimum operating plant. An important component of optimisation relies in data reconciliation which is used for obtaining consistent data. On a mathematical point of view, the formulation is generally based on the assumption that the measurement errors have normally pdf with zero mean. Unfortunately, in the presence of gross errors, all of the adjustments are greatly affected by such biases and would not be considered as reliable indicators of the state of the process. This paper proposes a data reconciliation strategy that deals with the presence of such gross errors. Application to size flowrates and concentration data in mineral processing is provided.
BibTeX:
@inproceedings{ALHAJDIBO:2004:HAL-00151294:1,
  author = {Alhaj-Dibo, Moustapha and Maquin, Didier and Ragot, José},
  title = {Data reconciliation: a robust approach using contaminated distribution. Application in mineral processing for multicomponent products},
  booktitle = {11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151294/en/}
}
Akhenak, A., Chadli, M., Ragot, J. & Maquin, D. Estimation of state and unknown inputs of a non linear system represented by a multiple model 2004 11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004   inproceedings URL  
Abstract: In this paper, we consider a nonlinear system represented by a multiple model, where a part of its inputs is unknown. Our objective is to estimate the state variables and the unknown inputs of this system. For that, we propose the synthesis of a multiple observer based on the elimination of these unknown inputs. It is shown how to determine the gains of the local observers, these gains being solutions of a set of linear matrix inequalities (LMI). The model of an hydraulic system with three tanks is used to test the suggested procedure.
BibTeX:
@inproceedings{AKHENAK:2004:HAL-00151292:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Ragot, José and Maquin, Didier},
  title = {Estimation of state and unknown inputs of a non linear system represented by a multiple model},
  booktitle = {11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151292/en/}
}
Chadli, M., Maquin, D. & Ragot, J. Non quadratic stabilization of multiple models 2004 12th Mediterranean Conference on Control and Automation, MED'04   inproceedings URL  
Abstract: This paper deals with the stabilization of Takagi-Sugeno models (T-S) using state feedback controllers. New sufficient stability conditions are given for both continuous and discrete T-S models. The stability conditions, formulated in term of bilinear matrix inequalities (BMIs), are based on a piecewise quadratic Lyapunov function and the use of the so-called S-procedure. A method of linearisation, applied on the obtained BMIs conditions, is presented.
BibTeX:
@inproceedings{CHADLI:2004:HAL-00151303:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Non quadratic stabilization of multiple models},
  booktitle = {12th Mediterranean Conference on Control and Automation, MED'04},
  year = {2004},
  pages = {CDROM },
  note = {Proceedings available at http://med.ee.nd.edu/MED12/pdfs/mainmenu.pdf },
  url = {http://hal.archives-ouvertes.fr/hal-00151303/en/}
}
Alhaj-Dibo, M., Maquin, D. & Ragot, J. Data validation of uncertain dynamic systems 2004 15th International Workshop on Principles of Diagnosis, DX'04   inproceedings URL  
Abstract: The methods of data validation which were developed these last years largely call for the redundancy resulting from models. The case of models with certain parameters (static and/or dynamic) was analyzed and received many solutions. However, there is relatively few work concerning the data validation in the presence of model uncertainties. The aim of this communication is to present a method of data validation for dynamic linear systems, which is able to take into account the uncertainties of the model parameters. Firstly we represent the dynamic model of the system in a static form by piling the state and measurement vectors on an observation window. Secondly, the elementary operations relating to the intervals make it possible to propose a state estimation of the system taking into account the parameters uncertainties. As the uncertainties are supposed to be bounded, the estimation's result is provided in an interval form. A sequential algorithm is used to obtain the state estimation by carrying out the intersection between the estimation resulting from three methods (Gauss elimination, Gauss-Seidel iteration and Krawczyk iteration). By analyzing this estimation, we can detect and isolate the data which are affected by gross errors as biases and propose a correction to make these data coherent with the model of the system.
BibTeX:
@inproceedings{ALHAJDIBO:2004:HAL-00151301:1,
  author = {Alhaj-Dibo, Moustapha and Maquin, Didier and Ragot, José},
  title = {Data validation of uncertain dynamic systems},
  booktitle = {15th International Workshop on Principles of Diagnosis, DX'04},
  year = {2004},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00151301/en/}
}
 
Maquin, D. & Ragot, J. Validation de données issues de systèmes de mesure incertains 2003 Journal Européen des Systèmes Automatisés   article DOI URL  
Abstract: Lorsque des mesures sont effectuées sur un système, il est utile de s'assurer de leur cohérence. Pour cela, il est nécessaire de disposer de redondances permettant de comparer différentes estimées d'une même grandeur. Généralement, deux modes de redondance, l'un matériel, l'autre analytique, sont utilisés. Dans les deux cas, la redondance est traduite par des modèles (du système de mesure, ou des relations liant les grandeurs à mesurer) ; ces modèles ont cependant une précision limitée et une façon de prendre en compte ce fait est de décrire les imperfections et les imprécisions par des paramètres incertains mais bornés. Cette présentation montre comment décrire des modèles à paramètres incertains et bornés, comment les utiliser pour la validation de données et, en particulier, comment estimer l'état d'un système décrit par un modèle statique linéaire. Pour simplifier l'exposé, le cas de systèmes de mesure linéaires statiques à incertitudes additives et multiplicatives est considéré et quelques idées d'extension sont évoquées.
BibTeX:
@article{MAQUIN:2003:HAL-00143979:1,
  author = {Maquin, Didier and Ragot, José},
  title = {Validation de données issues de systèmes de mesure incertains},
  journal = {Journal Européen des Systèmes Automatisés },
  year = {2003},
  volume = {37 },
  number = {9 },
  pages = {1163-1179 },
  url = {http://hal.archives-ouvertes.fr/hal-00143979/en/},
  doi = {http://dx.doi.org/10.3166/jesa.37.1163-1179}
}
Akhenak, A., Chadli, M., Maquin, D. & Ragot, J. State estimation via multiple observer with unknown inputs : Application to the three tank system 2003 5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess'2003   inproceedings URL  
Abstract: In this paper, we consider a nonlinear system represented by a multiple model, where a part of its inputs is unknown. Our objective is to estimate the state variables of this system. For that, we propose the synthesis of a multiple observer based on the elimination of these unknown inputs. It is shown how to determine the gains of the local observers, these gains being solutions of a set of linear matrix inequalities (LMI). The model of an hydraulic system with three tanks is used to test the suggested procedure.
BibTeX:
@inproceedings{AKHENAK:2003:HAL-00278202:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {State estimation via multiple observer with unknown inputs : Application to the three tank system},
  booktitle = {5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess'2003 },
  year = {2003},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278202/en/}
}
Chadli, M., Maquin, D. & Ragot, J. Multiple observers for discrete-time multiple models 2003 5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes Safeprocess'2003   inproceedings URL  
Abstract: This paper studies the state observer design problem for discrete-time multiple models. New sufficient conditions for the convergence of such multiple observer are derived via Lyapunov appraoch and BMI (Bilinear Matrix Inequalities) formulation. For facility purpose, a LMI (Linear Matrix Inequality) form is obtained from BMI linearization. The method uses the piecewise quadratic Lyapunov functions and the S-procedure to relax the conservativeness of the quadratic Lyapunov results.
BibTeX:
@inproceedings{CHADLI:2003:HAL-00278206:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Multiple observers for discrete-time multiple models},
  booktitle = {5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes Safeprocess'2003 },
  year = {2003},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278206/en/}
}
Ragot, J., Maquin, D. & Domlan, E. A. Switching time estimation of piecewise linear systems. Application to diagnosis 2003 5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess'2003   inproceedings URL  
Abstract: Analysing the behaviour of physical systems often leads to realise that a natural representation consists in building mixed continuous / discrete models. Multimodels or hybrid models are adapted representations for complex physical systems by introducing transitions (smooth or not) between local behaviours. This paper presents some technical points dealing with the determination of the time transition from one local model to another one. More generally, our purpose is to estimate, at each time, the state of the associated process.
BibTeX:
@inproceedings{RAGOT:2003:HAL-00278200:1,
  author = {Ragot, José and Maquin, Didier and Domlan, Elom Ayih},
  title = {Switching time estimation of piecewise linear systems. Application to diagnosis},
  booktitle = {5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess'2003 },
  year = {2003},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278200/en/}
}
Akhenak, A., Chadli, M., Maquin, D. & Ragot, J. Sliding mode multiple observer for fault detection and isolation 2003 42th IEEE Conference on Decision and Control   inproceedings DOI URL  
Abstract: This paper deals with the design of a sliding mode multiple observer (an observer based on a multiple model) allowing to estimate the state vector of a non linear dynamical system. This latter is influenced by unknown inputs which act on it through a known transmission matrix. The state estimation and consequently the output estimation can therefore be classically used for detecting and isolating faults.
BibTeX:
@inproceedings{AKHENAK:2003:HAL-00151307:1,
  author = {Akhenak, Abdelkader and Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Sliding mode multiple observer for fault detection and isolation},
  booktitle = {42th IEEE Conference on Decision and Control },
  year = {2003},
  volume = {1 },
  pages = {953-958 },
  url = {http://hal.archives-ouvertes.fr/hal-00151307/en/},
  doi = {http://dx.doi.org/10.1109/CDC.2003.1272690}
}
Chadli, M., Maquin, D. & Ragot, J. On the stability of a class of multiple models 2003 42th IEEE Conference on Decision and Control   inproceedings DOI URL  
Abstract: This paper proposes a method to discuss the stability analysis of multiple models. The proposed stability analysis is based on the use of scalar Lyapunov functions and the properties of M-matrices. An example is included to illustrate the proposed method
BibTeX:
@inproceedings{CHADLI:2003:HAL-00151304:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {On the stability of a class of multiple models},
  booktitle = {42th IEEE Conference on Decision and Control },
  year = {2003},
  volume = {6 },
  pages = {6458-6459 },
  url = {http://hal.archives-ouvertes.fr/hal-00151304/en/},
  doi = {http://dx.doi.org/10.1109/CDC.2003.1272367}
}
Ragot, J., Mourot, G. & Maquin, D. Parameter estimation of switching piecewise linear system 2003 42th IEEE Conference on Decision and Control   inproceedings DOI URL  
Abstract: During the last years, a number of methodological papers on models with discrete parameter shifts have revived interest in the so-called regime switching models. Piecewise linear models are attractive when modelling a wide range of nonlinear system and determining simultaneously i) the data partition ii) the time instant of change iii) the parameter values of the different local models. This is a difficult problem for which no solution exists in the general case and we show here some aspects and particular results concerning the problem of off line learning of switching time series. We propose a method for identifying the parameters of the local models when choosing an adapted weighting function, this function allowing to select the data for which each local model is active. Indeed the proposed method is able to solve simultaneously the data allocation and the parameter estimation. The feasibility and the performance of the procedure is demonstrated using several academic examples.
BibTeX:
@inproceedings{RAGOT:2003:HAL-00151306:1,
  author = {Ragot, José and Mourot, Gilles and Maquin, Didier},
  title = {Parameter estimation of switching piecewise linear system},
  booktitle = {42th IEEE Conference on Decision and Control },
  year = {2003},
  volume = {6 },
  pages = {5783-5788 },
  url = {http://hal.archives-ouvertes.fr/hal-00151306/en/},
  doi = {http://dx.doi.org/10.1109/CDC.2003.1271927}
}
Ragot, J., Maquin, D. & Pekpe, M. Signal segmentation and data classification 2003 10th International Workshop on Systems, Signals and Image processing, IWSSIP'03   inproceedings URL  
Abstract: The paper deals with a method for determining a switching combination of several local linear models using only the knowledge of the inputoutput data. The method is a direct optimisation of the sum of square errors between measured output and predicted model output ; in this procedure, the originality is based on the choice of an adapted criterion with particularly weights.
BibTeX:
@inproceedings{RAGOT:2003:HAL-00278197:1,
  author = {Ragot, José and Maquin, Didier and Pekpe, Midzodzi},
  title = {Signal segmentation and data classification},
  booktitle = {10th International Workshop on Systems, Signals and Image processing, IWSSIP'03 },
  year = {2003},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278197/en/}
}
Ragot, J., Maquin, D. & Alhaj-Dibo, M. Sensor fault detection and isolation. A blind approach 2003 5th International Symposium on Intelligent Components and Instruments for Control Applications, SICICA'2003   inproceedings URL  
BibTeX:
@inproceedings{RAGOT:2003:HAL-00278198:1,
  author = {Ragot, José and Maquin, Didier and Alhaj-Dibo, Moustapha},
  title = {Sensor fault detection and isolation. A blind approach},
  booktitle = {5th International Symposium on Intelligent Components and Instruments for Control Applications, SICICA'2003},
  year = {2003},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278198/en/}
}
 
Chadli, M., Maquin, D. & Ragot, J. Static output feedback for Takagi-Sugeno systems: an LMI approach 2002 10th Mediterranean Conference on Control and Automation, MED'2002   inproceedings URL  
Abstract: This paper studies the design of a static output feedback controller for nonlinear systems described by continuous-time Takagi-Sugeno (T-S) models. Motivated by stability results developed for parallel distributed compensation (PDC) controller, an Output PDC (OPDC) controller that corresponds to a nonlinear static output feedback control law is proposed. Both stabilisation and poles placement are addressed. An example is given to illustrate the approach.
BibTeX:
@inproceedings{CHADLI:2002:HAL-00278220:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Static output feedback for Takagi-Sugeno systems: an LMI approach},
  booktitle = {10th Mediterranean Conference on Control and Automation, MED'2002 },
  year = {2002},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278220/en/}
}
Adrot, O., Janati-Idrissi, H. & Maquin, D. Fault detection based on interval analysis 2002 15th IFAC World Congress on Automatic Control   inproceedings URL  
Abstract: This paper deals with a fault detection method taking into account model uncertainties described by bounded variables. A parity space approach is proposed, where the parity matrix depends on uncertain parameters. Since residuals represent a set of feasible behaviors, they therefore define a normal operation domain. In order to simplify its evaluation, residuals are linearized in bounded variables. This procedure generates an approximation, which can be enhanced by estimating bounds of uncertain parameters. Temporal dependencies between residuals are then taken into account in order to increase the precision of consistency tests
BibTeX:
@inproceedings{ADROT:2002:HAL-00278211:1,
  author = {Adrot, Olivier and Janati-Idrissi, Hicham and Maquin, Didier},
  title = {Fault detection based on interval analysis},
  booktitle = {15th IFAC World Congress on Automatic Control },
  year = {2002},
  url = {http://hal.archives-ouvertes.fr/hal-00278211/en/}
}
Chadli, M., Maquin, D. & Ragot, J. Output stabilisation in multiple model approach to modelling 2002 International Conference on Control Applications, CCA'02   inproceedings DOI URL  
Abstract: In this paper, the separation principle for discrete nonlinear systems in multiple model representation is investigated. The separation principle deals with a property which allows the multiple observer and the multiple controller to be designed separately. Using the quadratic Lyapunov technique and LMIs (Linear Matrix Inequalities) formulation, sufficient conditions for the global exponential stability of discrete multiple controllers are derived which are dual to those for the global exponential convergence of discrete multiple observers. A numerical example is given to illustrate the method.
BibTeX:
@inproceedings{CHADLI:2002:HAL-00201427:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Output stabilisation in multiple model approach to modelling},
  booktitle = {International Conference on Control Applications, CCA'02 },
  year = {2002},
  volume = {2 },
  pages = {1315-1320 },
  url = {http://hal.archives-ouvertes.fr/hal-00201427/en/},
  doi = {http://dx.doi.org/10.1109/CCA.2002.1038797}
}
Chadli, M., Maquin, D. & Ragot, J. Observer-based controller for Takagi-Sugeno models 2002 IEEE International Conference on Systems, Man and Cybernetics, SMC'02 IEEE   inproceedings DOI URL  
Abstract: This paper studies the stabilisation of the T-S (Takagi-Sugeno) model using an output feedback controller. Both measurable and estimated decision variable cases are considered. In the case of measurable decision variables a T-S observer and T-S controller are designed separately to stabilise globally exponentially the closed loop T-S model. When the decision variables depend on the state variables estimated by the T-S observer, a procedure to design a stabilising output feedback controller is proposed. An example is given to illustrate the result.
BibTeX:
@inproceedings{CHADLI:2002:HAL-00201453:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Observer-based controller for Takagi-Sugeno models},
  booktitle = {IEEE International Conference on Systems, Man and Cybernetics, SMC'02 IEEE},
  year = {2002},
  volume = {5 },
  pages = {6 },
  url = {http://hal.archives-ouvertes.fr/hal-00201453/en/}
  doi = {10.1109/ICSMC.2002.1176347}
}
Chadli, M., Maquin, D. & Ragot, J. Nonquadratic stability analysis of Takagi-Sugeno models 2002 41st IEEE Conference on Decision and Control, CDC'02   inproceedings DOI URL  
Abstract: This paper deals with the stability analysis of Takagi-Sugeno models (T-S). Based on piecewise quadratic Lyapunov functions and the use of the so-called S-procedure, new asymptotic stability conditions for both continuous and discrete T-S models are presented. The stability conditions are formulated in linear matrix inequalities (LMIs). Examples are given to illustrate the advantage of the proposed method.
BibTeX:
@inproceedings{CHADLI:2002:HAL-00201454:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Nonquadratic stability analysis of Takagi-Sugeno models},
  booktitle = {41st IEEE Conference on Decision and Control, CDC'02 },
  year = {2002},
  volume = {2 },
  pages = {2143- 2148 },
  url = {http://hal.archives-ouvertes.fr/hal-00201454/en/}
  doi = {10.1109/CDC.2002.1184847}
}
Chadli, M., Maquin, D. & Ragot, J. An LMI formulation for output feedback stabilization in multiple model approach 2002 41st IEEE Conference on Decision and Control, CDC'02   inproceedings DOI URL  
Abstract: This paper studies the design of a static output feedback controller for nonlinear systems described by multiple model approach. Motivated by quadratic stabilization result developed for parallel distributed compensation (PDC) controller, an output PDC controller that corresponds to a nonlinear static output feedback control law is proposed. Both stabilization and pole placement are addressed, first by a cone complementarity formulation of the problem and then by transformation to the linear matrix inequality (LMI) problem. An example is given to illustrate the results.
BibTeX:
@inproceedings{CHADLI:2002:HAL-00201455:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {An LMI formulation for output feedback stabilization in multiple model approach},
  booktitle = {41st IEEE Conference on Decision and Control, CDC'02},
  year = {2002},
  volume = {1 },
  pages = {311-316 },
  url = {http://hal.archives-ouvertes.fr/hal-00201455/en/}
  doi = {10.1109/CDC.2002.1184510}
}
 
Chadli, M., Maquin, D. & Ragot, J. On the stability analysis of multiple model systems 2001 European Control Conference, ECC'2001   inproceedings URL  
Abstract: This paper studies the global asymptotic stability of the nonlinear systems described by the multiple model approach using the Takagi-Sugeno (T-S) fuzzy modelling. New sufficient conditions for the stability of such systems are given. Stability analysis is derived via Lyapunov technique and LMIs (Linear Matrix Inequalities) formulation obtained from BMIs (Bilinear Matrix Inequalities) linearisation. Following a similar approach, sufficient conditions to guarantee the stability of T-S fuzzy systems for both T-S fuzzy controllers and T-S fuzzy observers are derived. The stabilisation of the closed loop continuous T-S fuzzy models is discussed using the well-known PDC (Parallel Distributed Compensation) technique.
BibTeX:
@inproceedings{CHADLI:2001:HAL-00278221:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {On the stability analysis of multiple model systems},
  booktitle = {European Control Conference, ECC'2001 },
  year = {2001},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00278221/en/}
}
 
Maquin, D., Adrot, O. & Ragot, J. Data reconciliation with uncertain models 2000 ISA Transactions   article DOI URL  
Abstract: Data reconciliation has proven to be an e€fective technique for providing frequent, accurate and consistent "best estimates" of plant operation data. However, in almost all the proposed techniques until today, the mathematical model of the process has been considered as exact. In point of fact, this hypothesis is uncommon and frequently the models used are uncertain. This paper proposes a new technique of data reconciliation which is able to exploit the knowledge about the uncertainties of the model with regard to which the reconciliation is done. It leads to the solution of a classical quadratic optimisation problem subject to constraints. The originality of the proposed technique is to use penalty functions for solving this problem and to weight each constraint with regard to their uncertainties.
BibTeX:
@article{MAQUIN:2000:HAL-00143980:1,
  author = {Maquin, Didier and Adrot, Olivier and Ragot, José},
  title = {Data reconciliation with uncertain models},
  journal = {ISA Transactions },
  year = {2000},
  volume = {39 },
  number = {1 },
  pages = {35-45 },
  url = {http://hal.archives-ouvertes.fr/hal-00143980/en/},
  doi = {http://dx.doi.org/10.1016/S0019-0578(99)00045-2}
}
Maquin, D. & Ragot, J. Fuzzy evaluation of residuals in FDI methods 2000 IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000   inproceedings URL  
Abstract: This paper presents a Fault Detection and Isolation (FDI) method based on a fuzzy evaluation of residuals. The advantages of this non-Boolean evaluation are described. The ability of this approach to integrate a persistence index of the residual deviations and the sensitivity of the residuals with regard to faults is particularly studied. Some results issued from the implementation of the proposed approach on an urban water supply network illustrate its pertinence.
BibTeX:
@inproceedings{MAQUIN:2000:HAL-00278258:1,
  author = {Maquin, Didier and Ragot, José},
  title = {Fuzzy evaluation of residuals in FDI methods},
  booktitle = {IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000 },
  year = {2000},
  pages = {675-680 },
  url = {http://hal.archives-ouvertes.fr/hal-00278258/en/}
}
Adrot, O., Maquin, D. & Ragot, J. Bounding approach to fault detection of uncertain dynamic systems 2000 IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000   inproceedings URL  
Abstract: This paper deals with a fault detection method taking model uncertianties into account. Only sensor imperfections are considered; moreover every uncertain parameter is represented by a bounded variable. By this membership approach, a model represents a set of feasible behaviours; therefore, interval analysis is used to build consistency tests based on the parity space approach. A fault is detected when the residual vector is outside its domain of feasible values. Unfortunately, the dependencies between bounded variables make the previous domain too complex to be exactly evaluated. The proposed solution leads to an overestimation obtained by using a paving algorithm.
BibTeX:
@inproceedings{ADROT:2000:HAL-00315741:1,
  author = {Adrot, Olivier and Maquin, Didier and Ragot, José},
  title = {Bounding approach to fault detection of uncertain dynamic systems},
  booktitle = {IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000 },
  year = {2000},
  volume = {2 },
  pages = {1168-1173 },
  url = {http://hal.archives-ouvertes.fr/hal-00315741/en/}
}
Ragot, J., Kratz, F. & Maquin, D. Finite memory observer for input-output estimation. Application to data reconciliation and diagnosis 2000 IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000   inproceedings URL  
Abstract: We are concerned here with dynamical processes whose states and inputs are measured or partially measured. Due to the noise which corrupt the measurements, we want to simultaneously estimate the states and the inputs. For the case where all the measurements are available, the estimation may be considered as a filtering technique; otherwise, the problem is more complicated as we want also to obtain an estimation of the unmeasured variables. In the very particular but difficult situation where not any inputs is measured, the problem may be linked to those involving unknown input observers; in signal processing, when the system is time-invariant, this problem is often referred to as deconvolution. The proposed technique is applioed for measurements corrupted by noise which generally gives bad estimations of the unknown inputs. In order to obtain smooth estimations, additional constraints are proposed.
BibTeX:
@inproceedings{RAGOT:2000:HAL-00315743:1,
  author = {Ragot, José and Kratz, Frédéric and Maquin, Didier},
  title = {Finite memory observer for input-output estimation. Application to data reconciliation and diagnosis},
  booktitle = {IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'2000 },
  year = {2000},
  volume = {1 },
  pages = {587-592 },
  url = {http://hal.archives-ouvertes.fr/hal-00315743/en/}
}
Adrot, O., Maquin, D. & Ragot, J. Diagnosis of an uncertain static system 2000 39th IEEE Conference on Decision and Control, CDC 2000   inproceedings DOI URL  
Abstract: This paper deals with an original fault detection and isolation method, allowing to take the structure and the range of model uncertainties into account. We focus on static and structured uncertain models, where each parameter uncertainty is described by a bounded variable. In order to de-couple residuals from unknown physical variables, a parity space approach is proposed, where the parity matrix depends on uncertain parameters. Because of this membership approach, called bounding approach, residuals represent a set of feasible behaviours and define therefore the normal operating domain of the studied physical system. To simplify its evaluation and work on a simple domain such as a parallelotope, residuals are linearised in the bounded variables and a reduction procedure is applied to decrease their complexity. Once the constraints defining this domain are determined, consistency tests for fault detection and isolation are built.
BibTeX:
@inproceedings{ADROT:2000:HAL-00201416:1,
  author = {Adrot, Olivier and Maquin, Didier and Ragot, José},
  title = {Diagnosis of an uncertain static system},
  booktitle = {39th IEEE Conference on Decision and Control, CDC 2000},
  year = {2000},
  volume = {4 },
  pages = {4150-4154 },
  url = {http://hal.archives-ouvertes.fr/hal-00201416/en/},
  doi = {http://dx.doi.org/10.1109/CDC.2000.912366}
}
Chadli, M., Maquin, D. & Ragot, J. Relaxed stability conditions for Takagi-Sugeno fuzzy systems 2000 IEEE International Conference on Systems, Man, and Cybernetics, SMC'2000   inproceedings DOI URL  
Abstract: This paper discusses conditions on stability and stabilization of continuous T-S fuzzy systems. Stability analysis is derived via a non-quadratic Lyapunov function technique and LMIs (linear matrix inequalities) formulation to obtain an efficient solution. The non-quadratic Lyapunov function is built by inference of quadratic Lyapunov function of each local model. We show that the stability condition of the open-loop T-S systems is assured under certain restrictions on the rate of change of state variables. Following a similar approach, the stabilization of closed-loop continuous T-S fuzzy systems using the well-known PDC (parallel distributed compensation) technique is investigated. The design methodology is illustrated by numerical examples.
BibTeX:
@inproceedings{CHADLI:2000:HAL-00201428:1,
  author = {Chadli, Mohammed and Maquin, Didier and Ragot, José},
  title = {Relaxed stability conditions for Takagi-Sugeno fuzzy systems},
  booktitle = {IEEE International Conference on Systems, Man, and Cybernetics, SMC'2000},
  year = {2000},
  volume = {5 },
  pages = {3514-3519 },
  url = {http://hal.archives-ouvertes.fr/hal-00201428/en/},
  doi = {http://dx.doi.org/10.1109/ICSMC.2000.886553}
}
 
Maquin, D., Narasimhan, S. & Ragot, J. Data validation with unknown variance matrix 1999 Computers and Chemical Engineering   article URL  
Abstract: The data validation consists in obtaining an estimation of the true values of process variables that respect the balance equations. Generally, the procedure needs the knowledge of the variance of the measurement errors; unfortunately, in most situations, we only have a rough estimation of this variance and therefore the data validation procedure gives results depending on this poor estimation. A pionner work of Almasy and Mah (1984) presents a solution to this problem based on the analysis of the constraint residuals. Darouach et al. (1989) developed a slighty different approach based on a maximum likelihood estimator. Here we present a direct method that simultaneously estimates the variances of the measurement errors and reconciles the data with respect to the balance equations. Some numerical results illustrate the efficiency of the proposed method.
BibTeX:
@article{MAQUIN:1999:HAL-00146897:1,
  author = {Maquin, Didier and Narasimhan, Shankar and Ragot, José},
  title = {Data validation with unknown variance matrix},
  journal = {Computers and Chemical Engineering },
  year = {1999},
  pages = {S609-S616 },
  note = {Published in Computers and Chemical Engineering Supplement (1999) },
  url = {http://hal.archives-ouvertes.fr/hal-00146897/en/}
}
Maquin, D., Narasimhan, S. & Ragot, J. Data validation with unknown variance matrix 1999 9th European Symposium on Computer Aided Process Engineering, ESCAPE'99   inproceedings URL  
Abstract: The data validation consists in obtaining an estimation of the true values of process variables that respect the balance equations. Generally, the procedure needs the knowledge of the variance of the measurement errors; unfortunately, in most situations, we only have a rough estimation of this variance and therefore the data validation procedure gives results depending on this poor estimation. A pioneer work of Almasy and Mah (1984) presents a solution to this problem based on the analysis of the constraint residuals. Darouach et al. (1989) developed a slighty different approach based on a maximum likelihhod estimator. Here we present a direct method that simultaneously estimates the variances of the measurement errors and reconciles the data with respect to the balance equations. Some numerical results illustrate the efficiency of the proposed method.
BibTeX:
@inproceedings{MAQUIN:1999:HAL-00283924:1,
  author = {Maquin, Didier and Narasimhan, Shankar and Ragot, José},
  title = {Data validation with unknown variance matrix},
  booktitle = {9th European Symposium on Computer Aided Process Engineering, ESCAPE'99 },
  year = {1999},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00283924/en/}
}
Adrot, O., Maquin, D. & Ragot, J. Fault detection with model parameter structured uncertainties 1999 5th European Control Conference, ECC'99   inproceedings URL  
Abstract: This paper focuses on an original fault detection method, able to take into account parameter uncertainties described by bounded variables. Intervals offer an attractive alternative for uncertain modelling and allow a straightforward generation of adaptive thresholds. This method is based on the parity space approach. The original point treated herein concerns the choice of the parity matrix, according to uncertain matrices of state representations. After expressing external forms of parity relations, interval arithmetic is used to evaluate internal forms and to deduce residual enclosures delimiting normal operation field. Then, we stress on the problems caused by dependencies between interval variables.
BibTeX:
@inproceedings{ADROT:1999:HAL-00291696:1,
  author = {Adrot, Olivier and Maquin, Didier and Ragot, José},
  title = {Fault detection with model parameter structured uncertainties},
  booktitle = {5th European Control Conference, ECC'99 },
  year = {1999},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00291696/en/}
}
Malti, R., Maquin, D. & Ragot, J. Some results on the convergence of transfer function expansions on the Laguerre series 1999 5th European Control Conference, ECC'99   inproceedings URL  
Abstract: When a transfer function is expanded on the basis of Laguerre filters, the question of how well does the expansion converge arises frequently. Beyond this problem, the convergence domain of the Laguerre series must be determined in the s-plane, as is usually done for the Laplace transform of time-domain functions. In the usual approach, this analysis is made in two complementary stages: first of all, the convergence conditions of Fourier (also called Laguerre or Laguerre-Fourier) coefficients is determined and then, based on the assumption that these coefficients are convergent, a worst-case-study is carried out to determine the convergence domain of the Laguerre series. A novel approach is proposed in this paper which drops away the coupling between the convergence of the Fourier coefficients and the convergence of the Laguerre series. Thus, necessary and sufficient conditions for Laguerre series convergence are computed. Laguerre functions are considered in their general definition : orthogonal w.r.t. an exponential weight function.
BibTeX:
@inproceedings{MALTI:1999:HAL-00283923:1,
  author = {Malti, Rachid and Maquin, Didier and Ragot, José},
  title = {Some results on the convergence of transfer function expansions on the Laguerre series},
  booktitle = {5th European Control Conference, ECC'99 },
  year = {1999},
  pages = {CDROM },
  url = {http://hal.archives-ouvertes.fr/hal-00283923/en/}
}
Mourot, G., Maquin, D. & Ragot, J. Simultaneous state and parameter estimation. Application to data validation for urban sewer network control 1999 14th IFAC World Congress   inproceedings URL  
Abstract: For process control improvement, coherency of information supplied by sensors must first be ensured. Because of the presence of random and possibly gross errors, the model equations of the process are not generally satisfied. The problem of data reconciliation in order to satisfy the model constraints is considered in this article. The simultaneous presence of errors in process input and output measurements poses serious problem in the rectification of data. The proposed procedure to solve this problem involves the use of a special filter to estimate both the parameters, the states and the inputs of a process; smoothing of both estimations of the input and the output is increased by adding in the filter a variance term. Application is proposed for rainfall data validation in order to improve urban sewer network control
BibTeX:
@inproceedings{MOUROT:1999:HAL-00311263:1,
  author = {Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Simultaneous state and parameter estimation. Application to data validation for urban sewer network control},
  booktitle = {14th IFAC World Congress },
  year = {1999},
  pages = {165-170 },
  url = {http://hal.archives-ouvertes.fr/hal-00311263/en/}
}
 
Malti, R., Maquin, D. & Ragot, J. Bilateral decomposition of a time function into laguerre series. Application to LTI system identification 1998 Journal of the Franklin Institute   article DOI URL  
Abstract: This paper deals with the estimation of linear time invariant (LTI) systems using Laguerrien models. The Laguerre functions used in this paper are presented in their general form, i.e. using two exponential factors. The main contribution of this paper is the development of an algorithm which performs the decomposition of a signal into Laguerre series for negative as well as positive time domains. These two decompositions are then aggregated to form a unique bilateral expansion. The method is then used to decompose input and output signals defined for positive as well as negative time (the case of non zero initial conditions of the state process is considered) into their bilateral Laguerre expansions in order to compute the parameters of the transfer function of the system that needs to be identified.
BibTeX:
@article{MALTI:1998:HAL-00143273:1,
  author = {Malti, Rachid and Maquin, Didier and Ragot, José},
  title = {Bilateral decomposition of a time function into laguerre series. Application to LTI system identification},
  journal = {Journal of the Franklin Institute },
  year = {1998},
  volume = {335 },
  number = {5 },
  pages = {851-869 },
  url = {http://hal.archives-ouvertes.fr/hal-00143273/en/},
  doi = {http://dx.doi.org/10.1016/S0016-0032(97)00015-X}
}
Mandel, D., Abdollahzadeh, A., Maquin, D. & Ragot, J. Data reconciliation by inequality balance equilibration: a LMI approach 1998 International Journal of Mineral Processing   article DOI URL  
Abstract: A new technique of data reconciliation, applied to validation of measures collected on a system, is suggested in this paper. This approach is based on the inequality constraints describing the hyper space in which the state of the considered system is probably located. We also use the model of the system in which the residuals must, in the same way, be constrained in an hyper space. Finally, the complete problem of reconciliation appears in the form of LMI (linear matrix inequality) and thus can be solved with the software tools that are appropriate to this technique. Some examples show that classical problems of balance equilibration can be solved: total flow balances, partial flow balances, balances with partial measures, consideration of biased measures.
BibTeX:
@article{MANDEL:1998:HAL-00143275:1,
  author = {Mandel, Denis and Abdollahzadeh, Ali and Maquin, Didier and Ragot, José},
  title = {Data reconciliation by inequality balance equilibration: a LMI approach},
  journal = {International Journal of Mineral Processing },
  year = {1998},
  volume = {53 },
  number = {3 },
  pages = {157-169 },
  url = {http://hal.archives-ouvertes.fr/hal-00143275/en/},
  doi = {http://dx.doi.org/10.1016/S0301-7516(97)00075-6}
}
Malti, R., Maquin, D. & Ragot, J. Optimality conditions for the truncated network of the generalized discrete orthonormal basis having real poles 1998 37th IEEE Conference on Decision and Control, CDC'98   inproceedings DOI URL  
Abstract: This paper deals with the synthesis of optimality conditions for the truncated network of the generalized orthonormal basis in the case where all the poles belong to the set of real numbers. These conditions are brought to a very simple form, but their solutions are not trivial. They generalize the optimality conditions for the truncated Laguerre network and are very attractive in system identification, model representation, and model reduction frameworks.
BibTeX:
@inproceedings{MALTI:1998:HAL-00201430:1,
  author = {Malti, Rachid and Maquin, Didier and Ragot, José},
  title = {Optimality conditions for the truncated network of the generalized discrete orthonormal basis having real poles},
  booktitle = {37th IEEE Conference on Decision and Control, CDC'98 },
  year = {1998},
  volume = {2 },
  pages = {2189-2194 },
  url = { http://hal.archives-ouvertes.fr/hal-00201430/en/},
  doi = {http://dx.doi.org/10.1109/CDC.1998.758665}
}
Aïtouche, A., Maquin, D. & Busson, F. Multiple sensor fault dDetection in heat exchanger system 1998 IEEE International Conference on Control Applications, CCA'98   inproceedings DOI URL  
Abstract: A two stage strategy for fault detection isolation and estimation of multiple gross measurement errors (faults) in a class of systems described simultaneously by linear and bilinear equations is presented. The first stage consists in the detection and isolation of gross measurement errors intervening only in the linear equations. The second stage deals with the detection and isolation of gross measurement errors intervening on the bilinear equations by using corrected measurements of the preceding stage. A GLR method is employed to detect and to isolate the faults. An application of the proposed strategy is presented for a heat exchanger system for which the process model consists of a set of linear and bilinear equations. Simulations were perfonned to test the efficiency of the proposed method.
BibTeX:
@inproceedings{AITOUCHE:1998:HAL-00201418:1,
  author = {Aïtouche, Abdel and Maquin, Didier and Busson, Frédéric},
  title = {Multiple sensor fault dDetection in heat exchanger system},
  booktitle = {IEEE International Conference on Control Applications, CCA'98},
  year = {1998},
  volume = {2 },
  pages = {741-745 },
  url = { http://hal.archives-ouvertes.fr/hal-00201418/en/},
  doi = {http://dx.doi.org/10.1109/CCA.1998.721557}
}
 
Maquin, D., Luong, M. & Ragot, J. Fault detection and isolation and sensor network design 1997 Journal Européen des Systèmes Automatisés   article URL  
Abstract: The model-based approach to fault detection and isolation in automated process has received considerable attention during the past two decades. One of the approaches to facilitate fault isolation is to design a structured residual set. The term structured here means that each residual is designed to be sensitive to a certain group of faults and insensitive to others. However, despite this issue has been recognised for a long time, the problem of designing such residuals is not completely solved. In the context of linear static systems, this paper proposes a new method for sensor network design respecting some sensor failure detectability and isolability requirements.
BibTeX:
@article{MAQUIN:1997:HAL-00144062:1,
  author = {Maquin, Didier and Luong, Marie and Ragot, José},
  title = {Fault detection and isolation and sensor network design},
  journal = {Journal Européen des Systèmes Automatisés },
  year = {1997},
  volume = {31 },
  number = {2 },
  pages = {393-406 },
  url = {http://hal.archives-ouvertes.fr/hal-00144062/en/}
}
Ploix, S., Maquin, D. & Ragot, J. Asymptotic observer for a non linear descriptor system 1997 IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'97   inproceedings URL  
Abstract: This communication deals with the problem of state estimation for a class of non linear singular systems. Sufficient conditions for the existence of such observers are provided and the design of an observer is examined. Assuming that the measurement matrix is full row rank involves many calculation simplifications ; therefore special emphasis in the computational aspect of the observer matrices is provided
BibTeX:
@inproceedings{PLOIX:1997:HAL-00311237:1,
  author = {Ploix, Stéphane and Maquin, Didier and Ragot, José},
  title = {Asymptotic observer for a non linear descriptor system},
  booktitle = {IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'97 },
  year = {1997},
  pages = {654-658 },
  url = {http://hal.archives-ouvertes.fr/hal-00311237/en/}
}
Luong, M., Maquin, D. & Ragot, J. Sensor network design for failure detection and isolation 1997 IFAC Conference on Control of Industrial Systems   inproceedings URL  
Abstract: The model-based approach to fault detection and isolation in automated process has received considerable attention during the last two decades. One of the approaches to facilitate fault isolation is to design a structured residual set. The term structured here means that each residual is designed to be sensitive to a certain group of faults and insensitive to others. However, despite this issue has been recognised for a long time, the problem of designing such residuals is not completely solved. In the context of linear static systems, this paper proposes a new method for sensor network design respecting some sensor failure detectability and isolability requirements
BibTeX:
@inproceedings{LUONG:1997:HAL-00311228:1,
  author = {Luong, Marie and Maquin, Didier and Ragot, José},
  title = {Sensor network design for failure detection and isolation},
  booktitle = {IFAC Conference on Control of Industrial Systems },
  year = {1997},
  pages = {6 pages },
  url = {http://hal.archives-ouvertes.fr/hal-00311228/en/}
}
Maquin, D., Cocquempot, V., Cassar, J., Staroswiecki, M. & Ragot, J. Generation of Analytical Redundancy Relations for FDI purposes 1997 IFAC Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives, SDEMPED'97   inproceedings URL  
Abstract: All the methods of fault detection and isolation (FDI) are based, either explicitly or implicitly, on the use of redundancy, i.e. relations among the measured variables. Since the founder work of Potter and Suman [22], the problem of generation of redundancy relations has been widely addressed. This paper presents the fundamental results obtained in this area
BibTeX:
@inproceedings{MAQUIN:1997:HAL-00311254:1,
  author = {Maquin, Didier and Cocquempot, Vincent and Cassar, Jean-Philippe and Staroswiecki, Marcel and Ragot, José},
  title = {Generation of Analytical Redundancy Relations for FDI purposes},
  booktitle = {IFAC Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives, SDEMPED'97 },
  year = {1997},
  pages = {86-93 },
  url = {http://hal.archives-ouvertes.fr/hal-00311254/en/}
}
Ragot, J., Kratz, F. & Maquin, D. Espace de parité pour les systèmes linéaires incertains. Synthèse, quelques résultats nouveaux et mise en œuvre 1997 16ème colloque du Groupe de Recherche et d'Etudes du Traitement du Signal et des Images, GRETSI   inproceedings URL  
Abstract: Pour analyser le bon fonctionnement d'un système, l'une des techniques couramment utilisées consiste à tester la nullité d'équations de redondance entre différentes grandeurs connues caractérisant ce système. Ces équations sont généralement obtenues en éliminant, des équations modélisant le système, les grandeurs inconnues ; dans le cas où les paramètres de ce modèle sont incertains, le résultat de l'élimination est critiquable. Dans cette communication, on expose ce problème ainsi qu'une technique de génération d'équations de redondance robustes vis-à-vis des imprécisions des paramètres. Des exemples illustrent les différentes propositions.
BibTeX:
@inproceedings{RAGOT:1997:HAL-00288440:1,
  author = {Ragot, José and Kratz, Frédéric and Maquin, Didier},
  title = {Espace de parité pour les systèmes linéaires incertains. Synthèse, quelques résultats nouveaux et mise en œuvre},
  booktitle = {16ème colloque du Groupe de Recherche et d'Etudes du Traitement du Signal et des Images, GRETSI },
  year = {1997},
  pages = {1403-1406 },
  url = {http://hal.archives-ouvertes.fr/hal-00288440/en/}
}
 
Maquin, D., Luong, M. & Ragot, J. About the design of measurement systems and fault accommodation 1996 Engineering Simulation   article URL  
Abstract: The quality of the state estimation of a system and, consequently, its dependability are strongly conditioned by the number and the location of the sensors. The availability of a system may be increased if this latter is able to function even in the presence of sensor breakdowns. So, the measurement planning (measurement system design) represents a very important stage. This communication presents a method for assessing the availability of the necessary information for the process control and defining the sensor locations such that the variables required for controlling the process remain always observable even if one or more sensors become defective. Underlying, the connections between several concepts such observability, redundancy, sensor location and reliability are emphasised.
BibTeX:
@article{MAQUIN:1996:HAL-00143999:1,
  author = {Maquin, Didier and Luong, Marie and Ragot, José},
  title = {About the design of measurement systems and fault accommodation},
  journal = {Engineering Simulation },
  year = {1996},
  volume = {13 },
  pages = {1009-1024 },
  note = {In Engineering Diagnostics: A Special Issue Of The Journal Engineering Simulation par Paul M. Frank et G. E. Pukhov },
  url = {http://hal.archives-ouvertes.fr/hal-00143999/en/}
}
Ragot, J., Ekongolo, S. B. & Maquin, D. State equations and decomposition into Laguerre functions 1996 Journal of the Franklin Institute   article DOI URL  
Abstract: For a linear system, one establishes a connection between the coefficients of the decomposition into Laguerre functions of the inputs and the outputs of the system. When the system is modelled by a state equation, it is showed that the two series are related through a state equation whose matrices are depending of those of the state equations of the system. The new state representation may be used for analysing linear dynamic systems.
BibTeX:
@article{RAGOT:1996:HAL-00143280:1,
  author = {Ragot, José and Ekongolo, Simon Bebe and Maquin, Didier},
  title = {State equations and decomposition into Laguerre functions},
  journal = {Journal of the Franklin Institute },
  year = {1996},
  volume = {333 },
  number = {2 },
  pages = {283-288 },
  url = {http://hal.archives-ouvertes.fr/hal-00143280/en/},
  doi = {http://dx.doi.org/10.1016/0016-0032(96)00018-X}
}
Ragot, J., Luong, M. & Maquin, D. Observability of systems involving flow circulation 1996 International Journal of Mineral Processing   article DOI URL  
Abstract: This paper presents an analysis of processes with regard to their circulating flows and mainly focuses on the characterization of variables depending on their redundancy level. Previous studies in this field were performed on processes described by linear equations (i.e. when considering a model of total conservation of material or energy). Here, the authors propose a novel methodology, permitting extension of observability analysis to processes involving linear and bilinear equations (i.e. partial and total balance equations). The aim here is the classification of process variables according to their observability level and, on a more practical side, the extraction of the subset of unmeasured variables deducible from those measured and from balance equations. The proposed technique is based on the analysis of the circuit matrix associated to the graph of the process under consideration. This analysis is performed depending on the number and position of the measurement devices.
BibTeX:
@article{RAGOT:1996:HAL-00143281:1,
  author = {Ragot, José and Luong, Marie and Maquin, Didier},
  title = {Observability of systems involving flow circulation},
  journal = {International Journal of Mineral Processing },
  year = {1996},
  volume = {47 },
  number = {1-2 },
  pages = {125-140 },
  url = {http://hal.archives-ouvertes.fr/hal-00143281/en/},
  doi = {http://dx.doi.org/10.1016/0301-7516(95)00104-2}
}
Ekongolo, S. B., Maquin, D. & Ragot, J. Model simplification and system approximation with constrained Laguerre models 1996 Symposium on Modelling, Analysis and Simulation, CESA'96   inproceedings URL  
Abstract: A functional approximation method is presented based on Laguerre functions. This paper illustrates the use of supplementary time constraints (e.g., interpolation of the value of the impulse response of a system at a given time) and frequency constraints (e.g., interpolation of the value of the system's transfer function at a given frequency) in order to improve the quality of approximation. The proposed method may be employed either in the reduction of a known system or in the identification of an unknown system. A number of numerical results further clearly show its advantage over unconstrained least squares approximations.
BibTeX:
@inproceedings{EKONGOLO:1996:HAL-00311216:1,
  author = {Ekongolo, Simon Bebe and Maquin, Didier and Ragot, José},
  title = {Model simplification and system approximation with constrained Laguerre models},
  booktitle = {Symposium on Modelling, Analysis and Simulation, CESA'96 },
  year = {1996},
  pages = {118-123 },
  url = {http://hal.archives-ouvertes.fr/hal-00311216/en/}
}
 
Ekongolo, S. B., Maquin, D. & Ragot, J. Time series expansion using discrete bilateral Laguerre models 1995 Electronics Letters   article DOI URL  
Abstract: The modelling of signals with Laguerre functions is considered. The main contribution concerns the possibility of handling signals defined both in the negative and the positive time domains; this has a potential application to the identification of processes involving inputs and outputs whose knowledge is available near the time origin or for noncausal systems.
BibTeX:
@article{EKONGOLO:1995:HAL-00143279:1,
  author = {Ekongolo, Simon Bebe and Maquin, Didier and Ragot, José},
  title = {Time series expansion using discrete bilateral Laguerre models},
  journal = {Electronics Letters },
  year = {1995},
  volume = {31 },
  number = {12 },
  pages = {955-956 },
  url = {http://hal.archives-ouvertes.fr/hal-00143279/en/},
  doi = {http://dx.doi.org/10.1049/el:19950663}
}
Maquin, D., Luong, M. & Ragot, J. Dependability and analytical redundancy 1995 On-line Fault Detection and Supervision in the Chemical Process Industries   inproceedings URL  
Abstract: The quality of the state estimation of a system and, consequently, its dependability are strongly conditioned by the number and the location of the measurements. So, the measurement planning represents a very important stage. This communication presents a method for assessing the availability of the necessary information for the process control and defining the sensor locations such that the variables required for controlling the process remain always observable even if one or more sensors become defective
BibTeX:
@inproceedings{MAQUIN:1995:HAL-00310530:1,
  author = {Maquin, Didier and Luong, Marie and Ragot, José},
  title = {Dependability and analytical redundancy},
  booktitle = {On-line Fault Detection and Supervision in the Chemical Process Industries },
  year = {1995},
  pages = {188-193 },
  url = {http://hal.archives-ouvertes.fr/hal-00310530/en/}
}
Maquin, D., Luong, M. & Ragot, J. Some ideas about the design of measurement system 1995 European Control Conference, ECC'95   inproceedings URL  
Abstract: The quality of the state estimation of a system and, consequently, its dependability are strongly conditioned by the number and the location of the measurements. The availability of a system may be increased if this latter is able to function even in the presence of sensor breakdowns. So, the measurement planning (measurement system design) represent a very important stage. This communication presents a method for assessing the availability of the necessary information for the process control and defining the sensor locations such that the variables required for controlling the process remain always observable even if one or more sensors become defective. Underlying, the connections between several concepts such observability, redundancy, sensor location and reliability are emphasised
BibTeX:
@inproceedings{MAQUIN:1995:HAL-00310532:1,
  author = {Maquin, Didier and Luong, Marie and Ragot, José},
  title = {Some ideas about the design of measurement system},
  booktitle = {European Control Conference, ECC'95 },
  year = {1995},
  pages = {3178-3183 },
  url = {http://hal.archives-ouvertes.fr/hal-00310532/en/}
}
 
Ragot, J. & Maquin, D. An algorithm for obtaining the redundancy equations of LTI systems 1994 Automatica   article DOI URL  
Abstract: In the context of model-based failure detection and diagnosis, there is a residual generation which can be obtained through a generalized parity space concept. This paper presents a new algorithm involving the generation of redundancy or parity equations for dynamic linear time-invariant systems. The proposed scheme involves the successive elimination of state sub-vectors and their replacement by output values as well as the processing of an output done one at a time to avoid matrix inversion. Some examples point out the numerical efficiency of the proposed procedure.
BibTeX:
@article{RAGOT:1994:HAL-00144004:1,
  author = {Ragot, José and Maquin, Didier},
  title = {An algorithm for obtaining the redundancy equations of LTI systems},
  journal = {Automatica },
  year = {1994},
  volume = {30 },
  number = {3 },
  pages = {537-542 },
  url = {http://hal.archives-ouvertes.fr/hal-00144004/en/},
  doi = {http://dx.doi.org/10.1016/0005-1098(94)90133-3}
}
Ouladsine, M., Maquin, D. & Ragot, J. A new procedure for multi-input dynamic systems identification 1994 International Journal of Modelling and Simulation   article URL  
BibTeX:
@article{OULADSINE:1994:HAL-00021787:1,
  author = {Ouladsine, Mustapha and Maquin, Didier and Ragot, José},
  title = {A new procedure for multi-input dynamic systems identification},
  journal = {International Journal of Modelling and Simulation },
  year = {1994},
  volume = {14 },
  number = {3 },
  pages = {107-111 },
  url = {http://hal.archives-ouvertes.fr/hal-00021787/en/}
}
Turbatte, H., Maquin, D., Huynh, C. T. & Ragot, J. Conception de l'architecture d'un système d'instrumentation. Application à un procédé pétrochimique 1994 Revue Européenne Diagnostic et Sûreté de Fonctionnement   article URL  
Abstract: La conduite d'un processus physique nécessite la connaissance d'un minimum d'informations représentatives de son état de fonctionnement ; dans certains cas, la perte de ces informations entraîne l'impossibilité de conduire le processus. Pour obtenir ces informations, on utilise des moyens directs (capteurs) ou indirects (équations de déduction). Cependant dans ce dernier cas, il arrive fréquemment que le nombre de mesures directes ne soit pas suffisant pour permettre la déduction des grandeurs que l'on souhaite connaître. Le placement de capteurs supplémentaires s'avère alors nécessaire pour rendre observables certaines grandeurs. De plus, pour que les capteurs effectuent correctement leur mission, ils doivent être en état normal de fonctionnement ; aussi est-il nécessaire de prendre en compte la notion de fiabilité des capteurs afin de garantir, dans les meilleures conditions, l'observabilité des variables. Cette communication présente les résultats d'une étude originale de placement de capteurs pour des systèmes linéaire et bilinéaire en présence de contraintes de placement et compte tenu de la fiabilité de l'ensemble du système de mesure ainsi constitué. L'application concerne une plate-forme pétrochimique (projet fiona entre Elf et le CRAN).
BibTeX:
@article{TURBATTE:1994:HAL-00144000:1,
  author = {Turbatte, Hervé-Claude and Maquin, Didier and Huynh, Chang Trung and Ragot, José},
  title = {Conception de l'architecture d'un système d'instrumentation. Application à un procédé pétrochimique},
  journal = {Revue Européenne Diagnostic et Sûreté de Fonctionnement },
  year = {1994},
  volume = {4 },
  number = {1 },
  pages = {53-72 },
  url = {http://hal.archives-ouvertes.fr/hal-00144000/en/}
}
Ragot, J., Maquin, D. & Ribbens, W. B. Two approaches for the isolation of plant failures in dynamic systems 1994 European Journal of Automation   article URL  
Abstract: One of the most significant issues in fault detection and isolation using analytical redundancy is the problem of robustness to modelling errors. The purpose of this communication is to present and examine design methods for isolating plant failures from sensor and actuator failures. Failures in actuators are readily detected and isolated provided the plant dynamics remain consistent. However, any changes in the plant such as that due to change in operating condition on component confuse the isolation of actuator failures. To first approximation plant dynamic, changes can be represented by a small change in the state transition matrix of the linearized model. This paper identifies a method of distinguishing this change in plant dynamics from the actuator failure. Two methods are proposed: the first one which consists to design the inputs of the process for the particular task of isolating plant failures and the second which consider the failure directions as unknown inputs which are eliminated from the state equation by projection
BibTeX:
@article{RAGOT:1994:HAL-00144003:1,
  author = {Ragot, José and Maquin, Didier and Ribbens, William Bill},
  title = {Two approaches for the isolation of plant failures in dynamic systems},
  journal = {European Journal of Automation },
  year = {1994},
  volume = {4 },
  number = {1 },
  pages = {73-91 },
  url = {http://hal.archives-ouvertes.fr/hal-00144003/en/}
}
Maquin, D., Luong, M. & Ragot, J. Observability analysis and sensor placement 1994 IFAC/IMACS Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'94   inproceedings URL  
Abstract: The quality of the state estimation of a system is strongly conditioned by the number of measurements obtained from this system. Here, this dependence is studied by specifying especially the influence of the number and the position of sensors as well as of their precision. When some variables are necessary for the control, the possibility of failure of some sensors is analysed from the calculation of the whole system reliability. The reciprocal problem is also presented: what is the measurement system allowing to respect some constraints on the observability, the redundancy and the reliability.
BibTeX:
@inproceedings{MAQUIN:1994:HAL-00302900:1,
  author = {Maquin, Didier and Luong, Marie and Ragot, José},
  title = {Observability analysis and sensor placement},
  booktitle = {IFAC/IMACS Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'94 },
  year = {1994},
  pages = {754-759 },
  url = {http://hal.archives-ouvertes.fr/hal-00302900/en/}
}
Gaddouna, B., Maquin, D. & Ragot, J. Design of unknown input observer 1994 IFAC/IMACS Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'94   inproceedings URL  
Abstract: Many approaches for the design of unknown input observers were developed to estimate the state of a linear time-invariant dynamical system driven by both known and unknown inputs. These observers are often used for component failure detection, for instrument fault detection in systems subject to plant parameter variations or uncertainties and for fault detection and isolation for systems subject to unknown inputs. In this paper, a method for the design of fault detection observers is developed for linear time-invariant systems subject to arbitrary unknown inputs. A constructive numerical algorithm using generalized inverse of matrices is included. Moreover, an example illustrates the applicability of the proposed method.
BibTeX:
@inproceedings{GADDOUNA:1994:HAL-00302930:1,
  author = {Gaddouna, Besma and Maquin, Didier and Ragot, José},
  title = {Design of unknown input observer},
  booktitle = {IFAC/IMACS Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS'94 },
  year = {1994},
  volume = {1 },
  pages = {69-74 },
  url = {http://hal.archives-ouvertes.fr/hal-00302930/en/}
}
Adjallah, K., Maquin, D. & Ragot, J. Non-linear observer-based fault detection 1994 3rd IEEE Conference on Control Applications, CCA'94   inproceedings DOI URL  
Abstract: This communication deals with the problem of designing a nonlinear observer in order to achieve fault detection and localization for a wide class of nonlinear systems subjected to bounded nonlinearities. A dedicated nonlinear observer scheme (DNOS) for fault detection and identification in reconstructible systems is proposed
BibTeX:
@inproceedings{ADJALLAH:1994:HAL-00201420:1,
  author = {Adjallah, Kondo and Maquin, Didier and Ragot, José},
  title = {Non-linear observer-based fault detection},
  booktitle = {3rd IEEE Conference on Control Applications, CCA'94 },
  year = {1994},
  volume = {2 },
  pages = {1115-1120 },
  url = {http://hal.archives-ouvertes.fr/hal-00201420/en/},
  doi = {http://dx.doi.org/10.1109/CCA.1994.381359}
}
Ragot, J., Maquin, D. & Adjallah, K. Control design for loop transfer recovery 1994 IEEE International Conference on Systems, Man, and Cybernetics, SMC'94   inproceedings DOI URL  
Abstract: Loop transfer recovery (LTR) techniques are known to enhance the input or output robustness properties of linear quadratic gaussian (LQG) design. In this paper, a new filter for LTR is proposed. Its structure has been inspired by an interaction between the LQR and the LQG loops and its parameters are adjusted by a noniterative method.
BibTeX:
@inproceedings{RAGOT:1994:HAL-00201435:1,
  author = {Ragot, José and Maquin, Didier and Adjallah, Kondo},
  title = {Control design for loop transfer recovery},
  booktitle = {IEEE International Conference on Systems, Man, and Cybernetics, SMC'94 },
  year = {1994},
  volume = {3 },
  pages = {2653-2657 },
  url = {http://hal.archives-ouvertes.fr/hal-00201435/en/},
  doi = {http://dx.doi.org/10.1109/ICSMC.1994.400272}
}
Maquin, D., Darouach, M. & Ragot, J. Robust observer for continuous uncertain systems 1994 IEEE International Conference on Systems, Man, and Cybernetics, SMC'94   inproceedings DOI URL  
Abstract: In this paper, the robust stability problem of a linear system with parameter uncertainties is handled and a condition is given to ensure the asymptotic stability of the system. Consequently, a robust observer may be designed that takes into account the uncertainties of the system; inequalities are designed that give bounds on the gain of the observer.
BibTeX:
@inproceedings{MAQUIN:1994:HAL-00201436:1,
  author = {Maquin, Didier and Darouach, Mohamed and Ragot, José},
  title = {Robust observer for continuous uncertain systems},
  booktitle = {IEEE International Conference on Systems, Man, and Cybernetics, SMC'94 },
  year = {1994},
  volume = {3 },
  pages = {2039-2044 },
  url = {http://hal.archives-ouvertes.fr/hal-00201436/en/},
  doi = {http://dx.doi.org/10.1109/ICSMC.1994.400163}
}
Maquin, D., Gaddouna, B. & Ragot, J. Estimation of unknown inputs in linear systems 1994 American Control Conference, ACC'94   inproceedings DOI URL  
Abstract: A systematic design procedure is developed for determining unknown inputs of a dynamic system. The results presented in this paper can be used directly for the design of fault detection and isolation observers for systems with unknown inputs or for systems with faulty inputs.
BibTeX:
@inproceedings{MAQUIN:1994:HAL-00201423:1,
  author = {Maquin, Didier and Gaddouna, Besma and Ragot, José},
  title = {Estimation of unknown inputs in linear systems},
  booktitle = {American Control Conference, ACC'94 },
  year = {1994},
  volume = {1 },
  pages = {1195-1197 },
  url = {http://hal.archives-ouvertes.fr/hal-00201423/en/},
  doi = {http://dx.doi.org/10.1109/ACC.1994.751939}
}
Maquin, D., Huynh, C. T., Luong, M. & Ragot, J. Observability, redundancy, reliability and integrated design of measurement systems 1994 2nd IFAC Symposium on Intelligent Components and Instruments for Control Applications, SICICA'94   inproceedings URL  
Abstract: The problem of sensor placement is considered. The quality of diagnosis depends on the number and location of measurements. We first deal with this dependence by analysing the observability. The concepts of degree of redundancy is introduced. The criterion of reliability is useful for designer to enhance the reliability of the measurement system. When some variables are required for the control of the process, the reliability of the measurement system may be computed taking into account the reliability of all sensors. In order to improve the diagnosis, we propose an original and computational tool for designer to conceive the automatic and optimal sensor placement. Our objective is to design the measurement system meeting the following constraints: observability of variables required for the controlling and the maintenance, fulfilment of different degrees of redundancy imposed for some variables and fulfilment of criterion of sensor cost or/and reliability.
BibTeX:
@inproceedings{MAQUIN:1994:HAL-00302975:1,
  author = {Maquin, Didier and Huynh, Chang Trung and Luong, Marie and Ragot, José},
  title = {Observability, redundancy, reliability and integrated design of measurement systems},
  booktitle = {2nd IFAC Symposium on Intelligent Components and Instruments for Control Applications, SICICA'94 },
  year = {1994},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00302975/en/}
}
Tan, E., Mourot, G., Maquin, D. & Ragot, J. Identification of fuzzy models 1994 Workshop on Fuzzy Technologies in Automation and Intelligent Systems   inproceedings URL  
Abstract: The objective of this work is to describe a numerical technique to identify parameters of a fuzzy model. When this model and the membership functions of the input variables are continuously differentiable, we show that the estimation of parameters can be performed with a two-levels hierarchical algorithm, comprising the estimation of the model parameters and the estimation of the membership functions parameters. The proposed algorithm is then applied to an example describing a non-linear system
BibTeX:
@inproceedings{TAN:1994:HAL-00310529:1,
  author = {Tan, Easter and Mourot, Gilles and Maquin, Didier and Ragot, José},
  title = {Identification of fuzzy models},
  booktitle = {Workshop on Fuzzy Technologies in Automation and Intelligent Systems },
  year = {1994},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00310529/en/}
}
 
Abstract: This paper deals with the problem of fault detection and localization for a wide class of nonlinear systems subjected to bounded nonlinearities. A dedicated nonlinear observer scheme for fault detection and identification of observable systems is proposed.
BibTeX:
@inproceedings{ADJALLAH:1993:HAL-00201433:1,
  author = {Adjallah, Kondo and Kratz, Frédéric and Maquin, Didier},
  title = {Fault detection in nonlinear systems},
  booktitle = {International Conference on Systems, Man and Cybernetics, SMC'93 },
  year = {1993},
  pages = {418-423 },
  url = {http://hal.archives-ouvertes.fr/hal-00201433/en/},
  doi = {http://dx.doi.org/10.1109/ICSMC.1993.385047}
}
Ragot, J. & Maquin, D. Failure detection, identification and accomodation based on new accomodation filter 1993 International Journal of Systems Science   article URL  
Abstract: This note is a comment on the paper of B.C. Moon and Z. Bien (Failure detection, identification and accomodation based on a new accomodation filter - B.C. MOON and Z. BIEN, Int. J. Systems Sci., vol. 22, n° 6, p. 1025-1034, 1991). The authors give an original formulation of the problem of failure detection of sensors and actuators based on a state reconstruction via observers. In this response, we follow the proposed method which is simplified and compared to a more direct approach.
BibTeX:
@article{RAGOT:1993:HAL-00144008:1,
  author = {Ragot, José and Maquin, Didier},
  title = {Failure detection, identification and accomodation based on new accomodation filter},
  journal = {International Journal of Systems Science },
  year = {1993},
  volume = {24 },
  number = {6 },
  pages = {1215-1220 },
  url = {http://hal.archives-ouvertes.fr/hal-00144008/en/}
}
Ragot, J., Maquin, D. & Kratz, F. Analytical redundancy for systems with unknown inputs. Application to faults detection 1993 Control Theory and Advanced Technology   article URL  
Abstract: A well known method for residual or redundancy generation is extended to systems with unknown inputs. It is based on the singular form of the system equations which allows the generation of the substate of the system which is insensitive to the unknown inputs. This generation is achieved by a two-steps algorithm including, first, the elimination of the unknown inputs and second, the generation of the redundancy equations. Using these results for fault detection and isolation, we present a simulated example to illustrate our method.
BibTeX:
@article{RAGOT:1993:HAL-00144067:1,
  author = {Ragot, José and Maquin, Didier and Kratz, Frédéric},
  title = {Analytical redundancy for systems with unknown inputs. Application to faults detection},
  journal = {Control Theory and Advanced Technology },
  year = {1993},
  volume = {9 },
  number = {3 },
  pages = {775-788 },
  url = {http://hal.archives-ouvertes.fr/hal-00144067/en/}
}
Roth, B., Schwartz, D., Maquin, D. & Ragot, J. Analysis and design of a multi-sensor prototype for measuring the level in large-sized tanks 1993 International Symposium on Intelligent Instrumentation for Remote and On-site Measurements, IMEKO   inproceedings URL  
Abstract: The purpose of this study is the definition and conception of a measurement system capable of continuously determining the level of carbon type bulk products, stored in a large-sized tank (mine shaft). This storage system has several supply circuits and a tapping circuit using motorized conveyor belts. The measurement system, associated with a data processing procedure, makes it possible to estimate the level in a relatively severe and hostile environment (near the working face, in particular). The industrial prototype realized uses the principle of data redundancy using multi sensors. The redundant data coming from several data sources (ultrasonic sensors for tank height, flow rates on belts from ultrasonic measurement of product height, motor intensities, capacitive gauges for level measurement, etc.) is processed in order to make it coherent amongst them and to supply a reliable estimation of the level variable.
BibTeX:
@inproceedings{ROTH:1993:HAL-00293584:1,
  author = {Roth, Bruno and Schwartz, Dominique and Maquin, Didier and Ragot, José},
  title = {Analysis and design of a multi-sensor prototype for measuring the level in large-sized tanks},
  booktitle = {International Symposium on Intelligent Instrumentation for Remote and On-site Measurements, IMEKO },
  year = {1993},
  pages = {41-48 },
  url = {http://hal.archives-ouvertes.fr/hal-00293584/en/}
}
Maquin, D., Gaddouna, B. & Ragot, J. Generation of parity equations for singular systems. Application to diagnosis 1993 International Conference on Systems, Man and Cybernetics, SMC'93   inproceedings DOI URL  
Abstract: In this paper, we show how the generation of parity equations technique can be extended to singular system. The decomposition of a singular system into subsystems, both slow and fast subsystems, allows us to generalize the technique used for standard systems. For an observation horizon with finished length, the system output can be particularly expressed in terms of the initial and terminal state and the inputs; the elimination of these two particular states then provides the desired parity equations which can be used for diagnosis.
BibTeX:
@inproceedings{MAQUIN:1993:HAL-00201422:1,
  author = {Maquin, Didier and Gaddouna, Besma and Ragot, José},
  title = {Generation of parity equations for singular systems. Application to diagnosis},
  booktitle = {International Conference on Systems, Man and Cybernetics, SMC'93 },
  year = {1993},
  volume = {3 },
  pages = {400-405 },
  url = {http://hal.archives-ouvertes.fr/hal-00201422/en/},
  doi = {http://dx.doi.org/10.1109/ICSMC.1993.385044}
}
 
Ragot, J., Maquin, D. & Sauter, D. Data validation using orthogonal filters 1992 IEE Proceedings. Part D, Control Theory and Applications   article URL  
Abstract: Measurement error reconciliation is well known in the literature. Unfortunately, the common basic assumption of almost all the existing methods is the steady state of the process concerned. A formulation for dynamic balancing is proposed which uses the same principles as those used for static balancing. To reduce the size of the problem, a recursive algorithm is formulated.
BibTeX:
@article{RAGOT:1992:HAL-00144071:1,
  author = {Ragot, José and Maquin, Didier and Sauter, Dominique},
  title = {Data validation using orthogonal filters},
  journal = {IEE Proceedings. Part D, Control Theory and Applications },
  year = {1992},
  volume = {139 },
  number = {1 },
  pages = {47-52 },
  note = {Access via Xplore: http://ieeexplore.ieee.org/Xplore/defdeny.jsp?url=/iel5/2206/3410/00119091.pdf?tp=&isnumber=3410&arnumber=119091&code=2 },
  url = {http://hal.archives-ouvertes.fr/hal-00144071/en/}
}
Ragot, J., Maquin, D. & Bloch, G. Sensor positioning for processes described by bilinear equations 1992 Revue Européenne Diagnostic et Sûreté de Fonctionnement   article URL  
Abstract: The control of a process requires a minimum of representative information on its operating state. This information can be obtained by both direct means (sensors) or indirect means (with mathematical models). It frequently occurs that the number of direct measurements is not sufficient to allow unmeasured variables to be deduced and additional sensors have to be installed to render the required variables observable. This paper presents a new technique for placing sensors in systems described simultaneously by linear and bilinear equations. It takes into account placement constraints and complete observability is obtained. Moreover it is pointed out that, from an observability point of view, a bilinear system may be studied by considering a succession of linear systems.
BibTeX:
@article{RAGOT:1992:HAL-00144097:1,
  author = {Ragot, José and Maquin, Didier and Bloch, Gérard},
  title = {Sensor positioning for processes described by bilinear equations},
  journal = {Revue Européenne Diagnostic et Sûreté de Fonctionnement },
  year = {1992},
  volume = {2 },
  number = {2 },
  pages = {115-132 },
  url = {http://hal.archives-ouvertes.fr/hal-00144097/en/}
}
Gomolka, W., Turbatte, H., Maquin, D. & Ragot, J. Contribution à l'analyse de l'observabilité des systèmes linéaires décrits par des équations de bilans 1992 Automatique Productique Informatique Industrielle   article URL  
Abstract: On s'intéresse à l'observabilité des procédés décrits par des équations linéaires et plus particulièrement à l'extraction des parties utiles contenant des variables redondantes ou déductibles. On montre comment, à partir de notions simples issues de la représentation du procédé par un graphe, décomposer le procédé selon le critère d'observabilité.
BibTeX:
@article{GOMOLKA:1992:HAL-00144092:1,
  author = {Gomolka, Wojciech and Turbatte, Hervé-Claude and Maquin, Didier and Ragot, José},
  title = {Contribution à l'analyse de l'observabilité des systèmes linéaires décrits par des équations de bilans},
  journal = {Automatique Productique Informatique Industrielle },
  year = {1992},
  volume = {26 },
  number = {2 },
  pages = {69-89 },
  url = {http://hal.archives-ouvertes.fr/hal-00144092/en/}
}
Kratz, F., Maquin, D. & Ragot, J. Robust generation of analytical redundancy equations andapplications to diagnosis 1992 31st IEEE Conference on Decision and Control, CDC'92   inproceedings DOI URL  
Abstract: A procedure for generating analytical redundancy equations for process fault detection and isolation is described. This procedure uses a direct approach by considering the relations betwen the inputs and the outputs of the process. Systems with known or partially known inputs are considered. A numerical example is presented
BibTeX:
@inproceedings{KRATZ:1992:HAL-00009003:1,
  author = {Kratz, Frédéric and Maquin, Didier and Ragot, José},
  title = {Robust generation of analytical redundancy equations andapplications to diagnosis},
  booktitle = {31st IEEE Conference on Decision and Control, CDC'92},
  year = {1992},
  volume = {3 },
  pages = {2839-2841 },
  url = {http://hal.archives-ouvertes.fr/hal-00009003/en/}
}
Kratz, F., Mourot, G., Maquin, D. & Loisy, F. Detection of measurement errors in nuclear power plants 1992 IFAC Symposium on Control of Power Plants and Power Systems   inproceedings URL  
Abstract: This paper presents a method for detecting and isolating sensor failures like biases or drifts. The algorithm is based upon analytic redundancy methods and uses a mathematical model of the process to compute estimates of measured quantities. These are compared with the measurements, so that the resulting residuals contain the sensor faults of interest. Statistical tests eliminate wrong data and produce an alarm if a faulty instrument is detected. Some application results are given in this paper for the instrumentation monitoring of a steam generator used in nuclear power plants.
BibTeX:
@inproceedings{KRATZ:1992:HAL-00293583:1,
  author = {Kratz, Frédéric and Mourot, Gilles and Maquin, Didier and Loisy, François},
  title = {Detection of measurement errors in nuclear power plants},
  booktitle = {IFAC Symposium on Control of Power Plants and Power Systems },
  year = {1992},
  pages = {177-182 },
  url = {http://hal.archives-ouvertes.fr/hal-00293583/en/}
}
 
Ragot, J., Aïtouche, A., Kratz, F. & Maquin, D. Detection and location of gross errors in instruments using parity space technique 1991 International Journal of Mineral Processing   article DOI URL  
Abstract: Before improving the control of a process, we must make sure of information coherence obtained from instrument lines or sensors. In fact, this information can be corrupted by errors and can also deviate from the optimum functioning range. The operator must take precautions not to be outside of this range. The detection of errors is used to point out the deviations. The detection, the location, the different error characterizations and the estimation of true values are steps in the data reconciliation problem. Process measurements are subject to two types of errors: (1) random errors generally taken to be independent and gaussian with zero mean, and (2) gross errors which are caused by non-random events such as malfunctioning sensors, instrument biases and inexact process models. Various methods for detection and location of gross errors in process data have been proposed in recent years including the parity space approach, the standardized least-squares residuals approach and the standardized imbalance residuals approach. In this paper these methods are applied to instrument and analytic redundances; the performances of parity space approach are compared to the two approached mentioned above by varying different parameters. We restrict our study to the presence of one, two and three gross errors and we consider that all streams are measured. We also demonstrate the equivalence between the parity space approach and the use of normalized residuals approach. Once the location has been made and the measurements containing gross errors have been deleted, we proceed with data reconciliation.
BibTeX:
@article{RAGOT:1991:HAL-00143278:1,
  author = {Ragot, José and Aïtouche, Abdel and Kratz, Frédéric and Maquin, Didier},
  title = {Detection and location of gross errors in instruments using parity space technique},
  journal = {International Journal of Mineral Processing },
  year = {1991},
  volume = {31 },
  number = {3-4 },
  pages = {281-299 },
  url = {http://hal.archives-ouvertes.fr/hal-00143278/en/},
  doi = {http://dx.doi.org/10.1016/0301-7516(91)90031-D}
}
Héraud, N., Maquin, D. & Ragot, J. Multilinear balance equilibration. Application to a complex metallurgical process 1991 Minerals & Metallurgical Processing Journal   article URL  
Abstract: Acquisition of coherent and representative data about state of processes remains a major problem of process control. This paper proposes an approach that ensures coherence in measurements on an operational industrial process. The basic technique employed relies on balance equilibration of resource mass flow. An interesting particularity of the set up is the ease with which it can be adapted to check productivity or detect sensor failures. In the case of sensor failure, it suffices to examine the evaluations before and after balance equilibration. The algorithm was tested by means of computer simulation using data from an industrial metallurgical flowsheet.
BibTeX:
@article{HERAUD:1991:HAL-00144132:1,
  author = {Héraud, Nicolas and Maquin, Didier and Ragot, José},
  title = {Multilinear balance equilibration. Application to a complex metallurgical process},
  journal = {Minerals & Metallurgical Processing Journal },
  year = {1991},
  pages = {197-204 },
  note = {Journal of the Society for Mining, Metallurgy, and Exploration (SME) },
  url = {http://hal.archives-ouvertes.fr/hal-00144132/en/}
}
Maquin, D., Bloch, G. & Ragot, J. Data reconciliation for measurements 1991 Revue Européenne Diagnostic et Sûreté de Fonctionnement   article URL  
Abstract: For plant control improvement, coherency of information supplied by instrument lines and sensors must first be ensured. Because of the presence of random and possibly gross errors, the model equations of the process are not generally satisfied. The problem of how to reconcile the measurements so that they satisfy the model constraints and how to use the reconciled values to detect gross errors are considered in this article. The authors strive to summarize various aspects of data reconciliation with the double aim of presenting the state of the art and bringing out the major difficulties encountered in the field. For that, the different steps of the methodology are presented in the following order : data reconciliation techniques, variables classification based on the concept of observability, gross errors detection and localisation, measurement error variance estimation and sensor location.
BibTeX:
@article{MAQUIN:1991:HAL-00144099:1,
  author = {Maquin, Didier and Bloch, Gérard and Ragot, José},
  title = {Data reconciliation for measurements},
  journal = {Revue Européenne Diagnostic et Sûreté de Fonctionnement },
  year = {1991},
  volume = {1 },
  number = {2 },
  pages = {145-181 },
  url = {http://hal.archives-ouvertes.fr/hal-00144099/en/}
}
Maquin, D. & Ragot, J. Comparison of gross errors detection methods in process data 1991 30th IEEE Conference on Decision and Control, CDC'91   inproceedings DOI URL  
Abstract: The authors first discuss the fundamental problem of data reconciliation. They then prove the equivalence of some tests commonly used for gross error detection: parity vector, normalized corrective terms, the generalized likelihood ratio test, and variation of the residual criterion after measurement deletion.
BibTeX:
@inproceedings{MAQUIN:1991:HAL-00201431:1,
  author = {Maquin, Didier and Ragot, José},
  title = {Comparison of gross errors detection methods in process data},
  booktitle = {30th IEEE Conference on Decision and Control, CDC'91 },
  year = {1991},
  volume = {3 },
  pages = {2254-2261 },
  url = {http://hal.archives-ouvertes.fr/hal-00201431/en/},
  doi = {http://dx.doi.org/10.1109/CDC.1991.261549}
}
Ragot, J., Maquin, D. & Darouach, M. Analysis of generalized bilinear systems. Application to diagnosis 1991 IMACS Symposium on Modelling and Control of Technological Systems, MCTS'91   inproceedings URL  
Abstract: In this survey, the authors try to summarize the various aspects of data reconciliation, to point out the main difficulties and to present the state of the art in this field specially for systems described by generalized bilinear models. In parctice, these models are used to describe conservation of material in total flow and partial flows for different chemical or minerallurgical species. The authors present the steps of the data reconciliation problem in the following order; techniques of data reconciliation, classification of the data by the observability concept, gross error detection and localisation, variance of measurement error estimation, sensor positioning.
BibTeX:
@inproceedings{RAGOT:1991:HAL-00315737:1,
  author = {Ragot, José and Maquin, Didier and Darouach, Mohamed},
  title = {Analysis of generalized bilinear systems. Application to diagnosis},
  booktitle = {IMACS Symposium on Modelling and Control of Technological Systems, MCTS'91 },
  year = {1991},
  volume = {2 },
  pages = {528-535 },
  url = {http://hal.archives-ouvertes.fr/hal-00315737/en/}
}
Ragot, J., Maquin, D. & Bloch, G. Data reconciliation for process flow 1991 European Control Conference, ECC'91   inproceedings URL  
Abstract: Before improving the control of a plant, we must make sure of information coherence issued from instrument lines or sensors. In fact, these informations can be corrupted by errors and can also deviate from the optimum functioning range. The operator must make precautions not to be outside of this range. The detection of errors is used to point out the deviations. The detection, the location, the different error characterizations and the estimation of true values are steps in the data reconciliation problem. Process measurements are subject to two types of errors: first random errors generally taken to be independent and gaussian with zero mean and secondly gross errors which are caused by non-random events such as malfunctioning sensors, instrument biases and inexact process models. Various methods for detection and location of gross errors in process data have been proposed in recent years including the parity space approach, the standardized least square residuals approach and the standardized imbalance residuals approach. Process data reconciliation and their relationship to process monotoring have been the subject of many publications. For recent ones, see for example, Mah (1982), Gertler (1988) or Ragot (1990). In this survey, the authors try to summarize the various aspects of data reconciliation, to point out the main diffculties and to present the state of the art in this field. The authors present the steps of the data reconciliation problem in the following order: techniques of data reconciliation, classification of the data by the observability concept, gross error detection and localisation, variance of measurement error estimation.
BibTeX:
@inproceedings{RAGOT:1991:HAL-00302871:1,
  author = {Ragot, José and Maquin, Didier and Bloch, Gérard},
  title = {Data reconciliation for process flow},
  booktitle = {European Control Conference, ECC'91 },
  year = {1991},
  volume = {2 },
  pages = {1430-1435 },
  url = {http://hal.archives-ouvertes.fr/hal-00302871/en/}
}
Ragot, J., Maquin, D. & Nowakowski, S. Estimation of measurement error variances from n-linear process data 1991 IFAC/IMACS Symposium on fault detection, supervision and safety for technical processes, SAFEPROCESS'91   inproceedings URL  
Abstract: This paper deals with reconciling measurements characterized by an unknown variance from processes described by linear equations. We use the technique of maximum likelihood to give an estimate of the real values and of the measurement errors variance. To make this estimation we assume that the measurement errors follow a normal probability density function with a zero mean and a constant variance. We have developed a relaxation algorithm based on direct iteration to solve the problem of the optimisation of the likelihood function under linear constraints. In the first instance we apply this algorithm to systems operating near a single steady state regime, then we extend the results obtained to the case of several steady state regimes.
BibTeX:
@inproceedings{RAGOT:1991:HAL-00302790:1,
  author = {Ragot, José and Maquin, Didier and Nowakowski, Samuel},
  title = {Estimation of measurement error variances from n-linear process data},
  booktitle = {IFAC/IMACS Symposium on fault detection, supervision and safety for technical processes, SAFEPROCESS'91 },
  year = {1991},
  volume = {1 },
  pages = {103-107 },
  url = {http://hal.archives-ouvertes.fr/hal-00302790/en/}
}
Turbatte, H., Maquin, D., Cordier, B. & Huynh, C. T. Analytical redundancy and reliability of measurements system 1991 IFAC/IMACS Symposium on fault detection, supervision and safety for technical processes, SAFEPROCESS'91   inproceedings URL  
Abstract: I this article, the authors present an original method for quantifying the reliability of an industrial instrumental system architecture. The model of the process is considered under steady state conditions with linear mass balance equations. The results of this analysis allows the determination of the optimal sensor placements to maximise instrumental architecture reliability with respect to the amount of data needed to control and maintain the process.
BibTeX:
@inproceedings{TURBATTE:1991:HAL-00302833:1,
  author = {Turbatte, Hervé-Claude and Maquin, Didier and Cordier, Bernard and Huynh, Chang Trung},
  title = {Analytical redundancy and reliability of measurements system},
  booktitle = {IFAC/IMACS Symposium on fault detection, supervision and safety for technical processes, SAFEPROCESS'91 },
  year = {1991},
  volume = {1 },
  pages = {49-54 },
  url = {http://hal.archives-ouvertes.fr/hal-00302833/en/}
}
 
Ragot, J., Darouach, M., Maquin, D. & Bloch, G. Validation de données et diagnostic 1990   book URL  
Abstract: Cet ouvrage traite du problème de validation de mesures de systèmes linéaires et non linéaires décrits par des modèles exacts. Partant de la réconciliation de données pour un système décrit par des équations linéaires, le problème est ensuite progressivement complexifié (observations partielles, prise en compte de variations de stocks ..) Les méthodes de résolution sont exposées avec le souci constant de leur facilité de mise en oeuvre. "Validation de données et diagnostic" s'adresse aux ingénieurs chargés du suivi de production et de la maintenance des procédés continus (secteurs chimiques, pétrochimiques, minéralurgiques,...), aux étudiants en automatique (Maîtrise, DEA, Ecoles d'ingénieurs) ainsi qu'aux chercheurs concernés par les problèmes de diagnostic en général.
BibTeX:
@book{RAGOT:1990:HAL-00021786:1,
  author = {Ragot, José and Darouach, Mohamed and Maquin, Didier and Bloch, Gérard},
  title = {Validation de données et diagnostic},
  year = {1990},
  pages = {432 },
  url = {http://hal.archives-ouvertes.fr/hal-00021786/en/}
}
Ragot, J., Maquin, D., Bloch, G. & Gomolka, W. Observability and variables classification in bilinear processes 1990 Journal A   article URL  
Abstract: An algorithmic approach is presented which allows the separation of observable variables of a process described by bilinear equations. Consequently, this separation gives the equations which contain all the observable variables and allows the reconciliation of the observable data. Several examples demonstrate the developed algorithms and indicate the usefulness of the proposed approach in adjusting the process data through the use of balance equations.
BibTeX:
@article{RAGOT:1990:HAL-00144115:1,
  author = {Ragot, José and Maquin, Didier and Bloch, Gérard and Gomolka, Wojciech},
  title = {Observability and variables classification in bilinear processes},
  journal = {Journal A },
  year = {1990},
  volume = {31 },
  number = {4 },
  pages = {17-23 },
  note = {ISSN 0771-1107 CODEN JRNAAD },
  url = {http://hal.archives-ouvertes.fr/hal-00144115/en/}
}
Zasadzinski, M., Darouach, M., Pierrot, P., Maquin, D. & Krzakala, G. Validation de données des systèmes linéaires de très grande dimension à l'aide du calcul décentralisé 1990 International Journal of Control and Computers   article URL  
Abstract: Dans cette communication, les auteurs présentent deux méthodes de validation de données des systèmes linéaires de très grande dimension, basées sur une décomposition structurelle du processus en sous-systèmes faiblement couplés.
BibTeX:
@article{ZASADZINSKI:1990:HAL-00144133:1,
  author = {Zasadzinski, Michel and Darouach, Mohamed and Pierrot, Philippe and Maquin, Didier and Krzakala, Gérard},
  title = {Validation de données des systèmes linéaires de très grande dimension à l'aide du calcul décentralisé},
  journal = {International Journal of Control and Computers },
  year = {1990},
  volume = {18 },
  number = {3 },
  pages = {74-78 },
  note = {Publication sélectionnée de 7th IASTED International Conference, Grindelwald, February 17-19, 1988. },
  url = {http://hal.archives-ouvertes.fr/hal-00144133/en/}
}
Kratz, F., Ragot, J., Maquin, D. & Despujols, A. Detection of bias in measurement using analytical redundancy 1990 7th International Symposium on Technical Diagnostics   inproceedings URL  
BibTeX:
@inproceedings{KRATZ:1990:HAL-00293579:1,
  author = {Kratz, Frédéric and Ragot, José and Maquin, Didier and Despujols, Antoine},
  title = {Detection of bias in measurement using analytical redundancy},
  booktitle = {7th International Symposium on Technical Diagnostics },
  year = {1990},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00293579/en/}
}
Ragot, J., Maquin, D., Chafouk, H. & Aïtouche, A. Reconciliation of data with unknown variance 1990 7th International Symposium on Technical Diagnostics   inproceedings URL  
Abstract: This paper deals with reconciling measurements characterized by an unknown variance from processes described by linear equations. We use the technique of maximum likelihood to give an estimate of the real values and of the measurement errors variance. To make this estimation we assume that the measurement errors follow a normal probability density function with a zero mean and a constant variance. We have developed a relaxation algorithm based on direct iteration to solve the problem of the optimisation of the likelihood function under linear constraints. In the first instance we apply this algorithm to systems operating near a single steady state regime, then we extend the results obtained to the case of several steady state regimes
BibTeX:
@inproceedings{RAGOT:1990:HAL-00293581:1,
  author = {Ragot, José and Maquin, Didier and Chafouk, Houcine and Aïtouche, Abdel},
  title = {Reconciliation of data with unknown variance},
  booktitle = {7th International Symposium on Technical Diagnostics },
  year = {1990},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00293581/en/}
}
 
Maquin, D., Darouach, M. & Ragot, J. Observability and data validation of bilinear systems 1989 Advanced Information Processing in Automatic Control, AIPAC'89   inproceedings URL  
Abstract: This paper is devoted to data reconciliation by mass balance equilibration of systems described by bilinear equations. It proposes a new approach for their resolution. We particularly insist on a decomposition algorithm which enables the problem of unmeasured variables to be treated. It allows the classification of variables into observable and unobservable, redundant and non redundant variables, and gives the relations necessary for their determination. Finally, the results of this algorithm are applied to the mass balance equilibration with the use of an iterative method based on hierarchical calculus
BibTeX:
@inproceedings{MAQUIN:1989:HAL-00293577:1,
  author = {Maquin, Didier and Darouach, Mohamed and Ragot, José},
  title = {Observability and data validation of bilinear systems},
  booktitle = {Advanced Information Processing in Automatic Control, AIPAC'89 },
  publisher = {Pergamon Press },
  year = {1989},
  pages = {113-118 },
  url = {http://hal.archives-ouvertes.fr/hal-00293577/en/}
}
Ragot, J., Maquin, D. & Darouach, M. Data validation for very large scale systems in mineral industries 1989 6th IFAC Symposium on Automation in mining, mineral & metal processing, AMMP'89   inproceedings URL  
Abstract: This communication suggests a method for the hierarchical treatment of measurement balances of static systems through homogeneous multilinear equations. Due to errors caused by sensors, the measurements taken from a physical system are generally noisy and do not verify these balance equations (total or partial flows). The problem consists in obtaining an estimation of the exact values, which verify the balance equations. The solution is classically obtained by minimizing a quadratic criterion of the error terms, taking into account the balance constraints. A large scale system of nonlinear equations must the be solved. Several forms of hierarchical treatment may be used and also suboptimal solutions have been proposed. The proposed algorithm is based on the mathematical decomposition of the whole system into serial sub-systems. This decomposition is systematic in all cases and allows a direct iteration calculus. The main numerical difficulty is to take into account the coordination factors between each level ; after some algebraic manipulations it is possible to eliminate all the Lagrange multipliers of the problem and to express on a very convenient form the coordination factors. Each level of calculus is reduced to a simple projection of the measurements on the constraints space and moreover the same parametrized routine can be used for each level. An example is given with measurements on a mineralurgical process with quadrilinear models using volumic flowrate, density, granulometric distribution, and chemical analysis. The method has also been tested for processes described by more than one thousand variables.
BibTeX:
@inproceedings{RAGOT:1989:HAL-00293578:1,
  author = {Ragot, José and Maquin, Didier and Darouach, Mohamed},
  title = {Data validation for very large scale systems in mineral industries},
  booktitle = {6th IFAC Symposium on Automation in mining, mineral & metal processing, AMMP'89 },
  year = {1989},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00293578/en/}
}
Maquin, D. & Ragot, J. L.V.D. : a software for mass balance equilibration and data validation 1989 Dechema Monographs European symposium on computer application in the chemical industry   inproceedings URL  
Abstract: This paper deals with the problem of data validation in large scale steady state linear systems which are described by algebraic equations. The conditions for observability and redundancy are defined and a procedure is presented for classifying the system variables into observable, unobservable, redundant and no redundant variables. Reconciliation of the redundant process measurements is developped using a recurrent estimation technique which is well suited in real time data processing. Statistical tests based on the residuals or imbalance of the model constraints either individually or collectively allow to identify the sources or locations of the gross errors. The authors then present a software called L.V.D. as "Logiciel de Validation de DonnŽes" (Data Validation Software), which take into account all the major difficulties in the field of data validation for linear systems
BibTeX:
@inproceedings{MAQUIN:1989:HAL-00293582:1,
  author = {Maquin, Didier and Ragot, José},
  title = {L.V.D. : a software for mass balance equilibration and data validation},
  booktitle = {Dechema Monographs European symposium on computer application in the chemical industry },
  year = {1989},
  volume = {116 },
  pages = {555-560 },
  url = {http://hal.archives-ouvertes.fr/hal-00293582/en/}
}
 
Ragot, J., Janyene, A., Maquin, D. & Fayolle, J. Validation de données de systèmes dynamiques par équilibrage de bilan 1988 International Journal of Control and Computers   article URL  
Abstract: Cette communication présente un algorithme de filtrage de mesures effectuées sur un système linéaire en régime transitoire. La difficulté du problème, mais aussi son intérêt, réside dans le fait que les systèmes à considérer sont de grandes dimensions que ce soit au niveau du nombre de variables, du nombre de mesures ou que ce soit au niveau du nombre de modèles pris en compte. L'application de l'algorithme proposé est particulièrement bien adaptée à l'estimation des débits et des stocks dans des installations industrielles pour lesquelles les mesures sont disponibles.
BibTeX:
@article{RAGOT:1988:HAL-00144119:1,
  author = {Ragot, José and Janyene, Abderrahmane and Maquin, Didier and Fayolle, Jean},
  title = {Validation de données de systèmes dynamiques par équilibrage de bilan},
  journal = {International Journal of Control and Computers },
  year = {1988},
  volume = {16 },
  number = {2 },
  pages = {50-54 },
  url = {http://hal.archives-ouvertes.fr/hal-00144119/en/}
}
Maquin, D., Ragot, J., Darouach, M. & Fayolle, J. Validation des mesures par equilibrage hiérarchisé de bilans-matière 1988 International Journal of Mineral Processing   article DOI URL  
Abstract: Après avoir présenté une méthode de validation de mesures de systèmes industriels complexes par équilibrage de bilan-matière, les auteurs s'attachent maintenant à montrer l'intérêt d'une décomposition structurelle dans le cas des systèmes de grandes dimensions, afin de réduire la complexité du problème initial.
BibTeX:
@article{MAQUIN:1988:HAL-00144118:1,
  author = {Maquin, Didier and Ragot, José and Darouach, Mohamed and Fayolle, Jean},
  title = {Validation des mesures par equilibrage hiérarchisé de bilans-matière},
  journal = {International Journal of Mineral Processing },
  year = {1988},
  volume = {23 },
  number = {3-4 },
  pages = {241-252 },
  url = {http://hal.archives-ouvertes.fr/hal-00144118/en/},
  doi = {http://dx.doi.org/10.1016/0301-7516(88)90018-X}
}
Darouach, M., Ragot, J., Fayolle, J. & Maquin, D. Data validation in large scale steady state linear systems 1988 12th IMACS World Congress on Scientific Computation, IMACS'88   inproceedings URL  
Abstract: The problem of data validation in large scale steady state linear systems is addressed. The system is described by algebraic equations. The conditions for observability and redundancy are defined and a procedure is presented for classifying the system variables into observable, unobservable, redundant and no redundant variables. Reconciliation of the redundant process measurements is developed using a recurrent estimation technique which is well suited in real time data processing. An application of the method to material balances is presented.
BibTeX:
@inproceedings{DAROUACH:1988:HAL-00293576:1,
  author = {Darouach, Mohamed and Ragot, José and Fayolle, Jean and Maquin, Didier},
  title = {Data validation in large scale steady state linear systems},
  booktitle = {12th IMACS World Congress on Scientific Computation, IMACS'88 },
  year = {1988},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00293576/en/}
}
 
Darouach, M., Fayolle, J., Maquin, D. & Ragot, J. Data validation in large scale steady state linear systems 1987 International Congress on Industrial and Applied Mathematics, ICIAM'87   inproceedings URL  
Abstract: Data reliability is of fundamental importance for process diagnosis, identification and control. Measurements having large, random or biased errors which go undetected lead to poor control of processes. Detection of such errors is therefore very important, but can only be carried out on the basis of a certain knowledge of the process, of its structure, of the location of the data sources (observations), and a certain degree of redundancy. Here we present a method of classifying the variables of steady state linear systems into: observable, unobservable, redundant and no-redundant variables. This classification gives information on the state of the system, the consistency of the data and leads to a way of validating the observable part of the process. A recurrent estimator is developed on the basis of an estimation of the maximum likelihood. An application of the method to material balance is presented.
BibTeX:
@inproceedings{DAROUACH:1987:HAL-00315736:1,
  author = {Darouach, Mohamed and Fayolle, Jean and Maquin, Didier and Ragot, José},
  title = {Data validation in large scale steady state linear systems},
  booktitle = {International Congress on Industrial and Applied Mathematics, ICIAM'87 },
  year = {1987},
  pages = {. },
  url = {http://hal.archives-ouvertes.fr/hal-00315736/en/}
}
 
Darouach, M., Ragot, J., Fayolle, J. & Maquin, D. Validation des mesures par équilibrage de bilans-matière 1986 International Journal of Mineral Processing   article DOI URL  
Abstract: This paper gives some concepts of the estimability and redundancy of steady-state systems. It is shown that these concepts are very useful in characterizing the system with respect to the estimation point of view.
BibTeX:
@article{DAROUACH:1986:HAL-00144117:1,
  author = {Darouach, Mohamed and Ragot, José and Fayolle, Jean and Maquin, Didier},
  title = {Validation des mesures par équilibrage de bilans-matière},
  journal = {International Journal of Mineral Processing },
  year = {1986},
  volume = {17 },
  number = {3-4 },
  pages = {273-285 },
  url = {http://hal.archives-ouvertes.fr/hal-00144117/en/},
  doi = {http://dx.doi.org/10.1016/0301-7516(86)90061-X}
}
Darouach, M., Ragot, J., Fayolle, J. & Maquin, D. Calcul hiérarchisé et décomposition des systèmes linéaires et bilinéaires appliqué à la validation de données 1986 Automatique Productique Informatique Industrielle   article URL  
Abstract: Un des aspect important du contrôle industriel est l'obtention et la visualisation d'informations pertinentes qui donnent une image des conditions opératoires d'un procédé. De façon classique maintenant, la théorie de l'estimation d'état fournit des algorithmes bien adaptés à cet objectif. Cependant, ces algorithmes sont difficiles de mise en oeuvre en raison des dimensions importantes des procédés. Cette communication présente des techniques faisant appel à différentes décompositions : décomposition par l'observabilité pour classer les variables suivant leurs carractères d'observabilité et de redondance, décomposition par la typologie pour décomposer le système en sous-systèmes faiblement connexes et enfin décomposition par les types de variables autorisant une estimation séquentielle des grandeurs. Plusieurs exemples illustrent les algorithmes proposés et montrent leurs possibilités dans le contexte de l'étude des grands systèmes.
BibTeX:
@article{DAROUACH:1986:HAL-00144131:1,
  author = {Darouach, Mohamed and Ragot, José and Fayolle, Jean and Maquin, Didier},
  title = {Calcul hiérarchisé et décomposition des systèmes linéaires et bilinéaires appliqué à la validation de données},
  journal = {Automatique Productique Informatique Industrielle },
  year = {1986},
  volume = {20 },
  pages = {405-432 },
  url = {http://hal.archives-ouvertes.fr/hal-00144131/en/}
}