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Adaptive Observer and Fault Tolerant Control for Takagi-Sugeno Descriptor Nonlinear Systems with Sensor and Actuator Faults

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  • Control Theory and Applications
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Abstract

This paper concerns the problem of state, fault estimation (FE) and Fault Tolerant Control (FTC) of Takagi-Sugeno (T-S) descriptor systems affected by sensor, actuator and external disturbances simultaneously. An Adaptive Fuzzy Observer is firstly proposed to achieve a simultaneous estimation of descriptor system states, actuator and sensor faults by using the H∞ optimization technique. A FTC is secondly proposed to stabilize the faulty descriptor system. Based on Lyapunov method, stability analysis and design conditions of the resulting closed-loop system are formulated in a set of Linear Matrices Inequalities (LMIs). The adaptive fuzzy observer and the FTC are independently designed, in order to avoid the coupling problem. Accordingly, the observer and controller gains are computed separately by solving a set of LMIs and then used to estimate the unmeasured states, sensor and actuator faults at the same time. Finally, a truck-trailer system application is given to illustrate the validity of the proposed approach.

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Authors and Affiliations

  1. Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, UFR of Sciences, 33 Rue St Leu, Amiens, 80000, France

    Dhouha Kharrat, Hamdi Gassara & Ahmed El Hajjaji

  2. Laboratory of Sciences and Techniques of Automatic control & computer engineering, University of Sfax, ENIS PB 1173, 3038, Sfax, Tunisia

    Dhouha Kharrat, Hamdi Gassara & Mohamed Chaabane

Authors
  1. Dhouha Kharrat
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  2. Hamdi Gassara
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  3. Ahmed El Hajjaji
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  4. Mohamed Chaabane
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Corresponding author

Correspondence to Ahmed El Hajjaji.

Additional information

Recommended by Editor Jessie (Ju H.) Park.

Dhouha Kharrat received her Master degree in automatic control from the University of Poitiers, France, in 2014. She is currently working towards a Ph.D. degree at both University of Picardie Jules Verne (UPJV), Amiens, France and National School of Engineering of Sfax (ENIS), Sfax, Tunisia. Her research interests include fault tolerant control, diagnosis, nonlinear control, analysis and design for T-S descriptor systems with time-delay and their application to practical engineering systems.

Hamdi Gassara received the Ph.D. in automatic control from the University of Picardie Jules Verne (UPJV), in 2011. Prior to Ph.D., he received his Master degree from UPJV in 2008. His teaching experience started when he was Ph.D. student in UPJV France from 2008 to 2011. He is currently an Assistant Professor in Electrical Department at National School of Engineering of Sfax, Tunisia. His research focuses on analysis and control for fuzzy models with time delay, fault tolerant control, diagnosis, saturation, and polynomial fuzzy models.

Ahmed El Hajjaji received the Ph.D. degree in automatic control and HDR degree from the University of Picardie Jules Verne (UPJV), France in 1993 and 2000, respectively. He is currently a full professor and head of Automatic control and Vehicle Research Group in MIS Lab (Modeling Information Systems Laboratory) of UPJV. He has been the director of the Professional Institute of Electrical Engineering and Industrial Computing from 2006 to 2012. Since 1994, he has published more than 350 Journal and conference papers in the areas of advanced fuzzy control, fault detection and diagnosis and fault tolerant control and their applications to vehicle dynamics, engine control, power systems, renewable energy conversion systems and to industrial processes. His research interests include fuzzy control, vehicle dynamics, fault-tolerant control, neural networks, maglev systems, and renewable energy conversion systems.

Mohamed Chaabane was born in Sfax, Tunisia, on August 26, 1961. He received the Ph.D. degree in electrical engineering from the University of Nancy, Nancy, France, in 1991. He is currently a Professor with the National School of Engineering, University of Sfax, where he has been a Researcher with the Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) since 1997. From 1988 to 1992, he was an Associate Professor with the University of Nancy, where he was a Researcher at Center of Automatic Control of Nancy (CRAN). The main research interests are in the filed of robust and optimal control, fault tolerant control, delay systems, descriptor systems, fuzzy logic systems and applications of these techniques to fed-batch processes, asynchronous machines, agriculture systems and renewable energy. Currently, he is an associate editor of the International Journal on Sciences and Techniques of Automatic Control and Computer Engineering (www.sta-tn.com).

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Kharrat, D., Gassara, H., El Hajjaji, A. et al. Adaptive Observer and Fault Tolerant Control for Takagi-Sugeno Descriptor Nonlinear Systems with Sensor and Actuator Faults. Int. J. Control Autom. Syst. 16, 972–982 (2018). https://doi.org/10.1007/s12555-017-0546-8

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