Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation

ABSTRACT

In this paper, we address the problem of fault tolerant constrained control (FTCC) design with multiobjective requirement for a class of uncertain Takagi-Sugeno systems subject to input and state constraints. An integrated robust FTC strategy is adopted by combining a descriptor approach and a novel structure of parallel distributed compensation control laws. This ensures the closed-loop system stability of the faulty system and respects the given saturation constraints on the control input. The optimisation problem is formulated using fuzzy Lyapunov function, and expressed in terms of linear matrix inequality constraints (LMIs). Numerical examples are given to show the effectiveness of the proposed FTCC approach for both measurable and unmeasurable decision variables cases.

KEYWORDS:

• Takagi-Sugeno systems
• constrained FTC control
• descriptor approach
• ${\mathcal{L}}_2$-gain performance
• unmeasurable decision variables
• LMI
• uncertainties

Additional information

Notes on contributors

S. Aouaouda

Sabrina Aouaouda is currently an assistant professor at the University of Souk Ahras, Algeria. She received her Ph.D. degree, in automatic control from the University of Annaba, Algeria in 2012 and his HDR in 2014. Her research interests include nonlinear control, fault tolerant control (FTC), Takagi-Sugeno models (T-S), analysis/control via LMI optimization and Lyapunov methods.

M. Chadli

Mohammed Chadli received his Master degree (DEA) from INSA of Lyon, France in 1999, the Ph.D. thesis from CRAN-INPL of Nancy in 2002 and the HDR in 2011. Since 2004, he has been an Assoc. Professor (Maitre de Conférences) at the University of Picardie Jules Verne, Laboratory of ‘Modélisation, Information et Systémes’ in Amiens. He is a senior member of the IEEE and associate editor in international journals. His research interests include, on the theoretical side, analysis and control of singular systems, switched/LPV/fuzzy Takagi-Sugeno models, model-based diagnosis (FDI), fault tolerant control (FTC), analysis/control via LMI optimization and Lyapunov methods. On the application side he is mainly interested in automotive control.