Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor

Aguilera-González, A., Astorga-Zaragoza, C.M., Adam-Medina, M., Theilliol, D., Reyes-Reyes, J. and Garcia-Beltrán, C.-D. (2013). Singular linear parameter-varying observer for composition estimation in a binary distillation column, IET Control Theory & Applications 7(3): 411-422.10.1049/iet-cta.2011.0469Search in Google Scholar

Alcorta-García, E., Saucedo-Flores, S. and Díaz-Romero, D.A. (2014). Intelligent fault diagnosis in nonlinear systems, Intelligent Automation and Soft Computing 20(2): 201-212.10.1080/10798587.2013.861963Search in Google Scholar

Astorga-Zaragoza, C.M., Theilliol, D., Ponsart, J.C. and Rodrigues, M. (2011). Observer synthesis for a class of descriptor LPV systems, American Control Conference, ACC 2011, San Francisco, CA, USA, pp. 722-726.Search in Google Scholar

Blesa, J., Rotondo, D., Puig, V. and Nejjari, F. (2014). FDI and FTC of wind turbines using the interval observer approach and virtual actuators/sensors, Control Engineering Practice 24: 138-155.10.1016/j.conengprac.2013.11.018Search in Google Scholar

Chadli, M., Abdo, A. and Ding, S.X. (2013a). H−/H∞ fault detection filter design for discrete-time Takagi-Sugeno fuzzy system, Automatica 49(7): 1996-2005.10.1016/j.automatica.2013.03.014Search in Google Scholar

Chadli, M., Aouaouda, S., Karimi, H. and Shi, P. (2013b). Robust fault tolerant tracking controller design for a VTOL aircraft, Journal of the Franklin Institute 350(350): 2627-2645.10.1016/j.jfranklin.2012.09.010Search in Google Scholar

Chadli, M. and Darouach, M. (2011). Robust admissibility of uncertain switched singular systems, International Journal of Control 84(10): 1587-1600.10.1080/00207179.2011.615865Search in Google Scholar

Chen, J. and Patton, R.J. (1999). Robust Model-based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, Norwell, MA.10.1007/978-1-4615-5149-2Search in Google Scholar

Ding, S.X. (2008). Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms and Tools, Springer, Berlin/Heidelberg.Search in Google Scholar

Duan, G.R. (2010). Analysis and Design of Descriptor Linear Systems, Springer, New York, NY.10.1007/978-1-4419-6397-0Search in Google Scholar

Frank, P. (1996). Analytical and qualitative model-based fault diagnosis-a survey and some new results, European Journal of Control 2(1): 6-28.10.1016/S0947-3580(96)70024-9Search in Google Scholar

Gertler, J. (1997). Fault detection and isolation using parity relations, Control Engineering Practice 5(5): 653-661.10.1016/S0967-0661(97)00047-6Search in Google Scholar

Hamdi, H., Rodrigues, M., Mechmeche, C. and Braiek, N.B. (2012a). Robust fault detection and estimation for descriptor systems based on multi-models concept, International Journal of Control, Automation and Systems 10(6): 1260-1266.10.1007/s12555-012-0622-zSearch in Google Scholar

Hamdi, H., Rodrigues, M., Mechmeche, C. and Theilliol, D. (2012b). Fault detection and isolation for linear parameter varying descriptor systems via proportional integral observer, International Journal of Adaptive Control and Signal Processing 26(3): 224-240.10.1002/acs.1260Search in Google Scholar

Hwang, I., Sungwan, K., Youdan, K. and Seah, C. (2010). A survey of fault detection, isolation, and reconfiguration methods, IEEE Transactions on Control Systems Technology 18(3): 636-653.10.1109/TCST.2009.2026285Search in Google Scholar

Ichalal, D., Marx, B., Ragot, J. and Maquin, D. (2010). State estimation of Takagi-Sugeno systems with unmeasurable premise variables, IET Control Theory & Applications 4(5): 897.10.1049/iet-cta.2009.0054Search in Google Scholar

Isermann, R. (1984). Process fault detection based on modeling and estimation methods-a survey, Automatica 20(4): 387-404.10.1016/0005-1098(84)90098-0Search in Google Scholar

Kamidi, R. (2000). Controllability and observability of polytopic linear models, Technical report, Eindhoven University of Technology, Eindhoven.Search in Google Scholar

Lendek, Z., Guerra, T.M., Babuˆska, R. and De Schutter, B. (2011). Stability Analysis and Nonlinear Observer Design Using Takagi-Sugeno Fuzzy Models, Studies in Fuzziness and Soft Computing, Vol. 262, Springer, Berlin/Heidelberg.Search in Google Scholar

Lofberg, J. (2004). A toolbox for modeling and optimization in MATLAB, Proceedings of the Computer Aided Control System Design Conference, Taipei, Taiwan, pp. 284-289.Search in Google Scholar

López-Estrada, F.-R., Ponsart, J., Theilliol, D. and Astorga-Zaragoza, C.-M. (2013). Fault estimation observer design for descriptor-LPV systems with unmeasurable gain scheduling functions, 2nd International Conference on Control and Fault-Tolerant Systems (SYSTOL), Nice, France, pp. 269-274.Search in Google Scholar

López-Estrada, F.R., Ponsart, J.C., Theilliol, D., Astorga-Zaragoza, C.-M. and Aberkane, S. (2014a). Fault diagnosis based on robust observer for descriptor-LPV systems with unmeasurable scheduling parameters, 19th World Congress of the International Federation of Automatic Control, Cape Town, South Africa, pp. 1079-1084.10.3182/20140824-6-ZA-1003.00960Search in Google Scholar

López-Estrada, F.-R., Ponsart, J., Theilliol, D. and Astorga-Zaragoza, C.-M. (2014b). Robust sensor FDI observer for polytopic descriptor-LPV systems with unmeasurable scheduling varying parameter, American Control Conference, Portland, OR, USA.10.1109/ACC.2014.6859513Search in Google Scholar

Lunze, J., Blanke, M., Staroswiecki, M. and Kinnaert, M. (2006). Diagnosis and Fault-Tolerant Tolerant Control, Springer, Berlin/Heidelberg.Search in Google Scholar

Martínez-Sibaja, A., Astorga-Zaragoza, C.M., Alvarado-Lassman, A., Posada-Gómez, R., Aguila-Rodríguez, G., Rodríguez-Jarquin, J. and Adam-Medina, M. (2011). Simplified interval observer scheme: A new approach for fault diagnosis in instruments, Sensors 11(1): 612-622.10.3390/s110100612327410722346593Search in Google Scholar

Masubuchi, I., Kato, J., Saeki, M. and Ohara, A. (2004). Gain-scheduled controller design based on descriptor representation of LPV systems: Application to flight vehicle control, 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, The Bahamas, Vol. 1, pp. 815-820.Search in Google Scholar

Montes de Oca, S., Puig, V. and Blesa, J. (2011). Robust fault detection based on adaptive threshold generation using interval LPV observers, International Journal of Adaptive Control and Signal Processing 26(3): 258-283.10.1002/acs.1263Search in Google Scholar

Nagy-Kiss, A.M., Marx, B., Mourot, G., Schutz, G. and Ragot, J. (2011a). Observers design for uncertain Takagi-Sugeno systems with unmeasurable premise variables and unknown inputs. application to a wastewater treatment plant, Journal of Process Control 21(7): 1105-1114.10.1016/j.jprocont.2011.05.001Search in Google Scholar

Nagy Kiss, A.M., Marx, B., Mourot, G., Schutz, G. and Ragot, J. (2011b). State estimation of two-time scale multiple models. Application to wastewater treatment plant, Control Engineering Practice 19(11): 1354-1362.10.1016/j.conengprac.2011.07.009Search in Google Scholar

Samy, I., Postlethwaite, I. and Gu, D.-W. (2011). Survey and application of sensor fault detection and isolation schemes, Control Engineering Practice 19(7): 658-674.10.1016/j.conengprac.2011.03.002Search in Google Scholar

Theilliol, D. and Aberkane, S. (2011). Design of LPV observers with unmeasurable gain scheduling variable under sensors faults, IFAC World Congress, Milan, Italy, pp. 7613-7618.Search in Google Scholar

Wang, J.L., Yang, G.-H. and Liu, J. (2007). An LMI approach to index and mixed fault detection observer design, Automatica 43(9): 1656-1665.Search in Google Scholar

Xu, S. and Lam, J. (2006). Robust Control and Filtering of Singular Systems, Springer, Berlin/Heidelberg.Search in Google Scholar

Yoneyama, J. (2009). H∞ filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach, Fuzzy Sets and Systems 160(12): 1738-1748. 10.1016/j.fss.2008.09.012Search in Google Scholar