Regular Papers

International Journal of Control, Automation and Systems 2012; 10(3): 613-622

Published online June 13, 2012

https://doi.org/10.1007/s12555-012-0319-3

© The International Journal of Control, Automation, and Systems

Robust H∞ Static Output Feedback Stabilization of T-S Fuzzy Systems Subject to Actuator Saturation

Dounia Saifia, Mohammed Chadli*, Salim Labiod, and Thierry Marie Guerra

University of Picardie Jules Verne, France

Abstract

This paper proposes a method for designing robust H∞ static output feedback stabilization of Takagi-Sugeno (T-S) fuzzy systems under actuator saturation. In this paper, the input saturation is represented by a polytopic model and the modeling error is assumed a norm-bounded uncertainty. A set invariance condition for robust H∞ static output feedback system under actuator saturation is first established. Then, the estimation of the largest domain of attraction for the system is formulated and solved as a Linear Matrix Inequality (LMI) optimization problem. Two examples are used to demonstrate the ef-fectiveness of the proposed design method.

Keywords Actuator saturation, H∞ static output-feedback stabilization, Takagi-Sugeno (T-S) fuzzy system, uncertainties.

Article

Regular Papers

International Journal of Control, Automation and Systems 2012; 10(3): 613-622

Published online June 1, 2012 https://doi.org/10.1007/s12555-012-0319-3

Copyright © The International Journal of Control, Automation, and Systems.

Robust H∞ Static Output Feedback Stabilization of T-S Fuzzy Systems Subject to Actuator Saturation

Dounia Saifia, Mohammed Chadli*, Salim Labiod, and Thierry Marie Guerra

University of Picardie Jules Verne, France

Abstract

This paper proposes a method for designing robust H∞ static output feedback stabilization of Takagi-Sugeno (T-S) fuzzy systems under actuator saturation. In this paper, the input saturation is represented by a polytopic model and the modeling error is assumed a norm-bounded uncertainty. A set invariance condition for robust H∞ static output feedback system under actuator saturation is first established. Then, the estimation of the largest domain of attraction for the system is formulated and solved as a Linear Matrix Inequality (LMI) optimization problem. Two examples are used to demonstrate the ef-fectiveness of the proposed design method.

Keywords: Actuator saturation, H∞ static output-feedback stabilization, Takagi-Sugeno (T-S) fuzzy system, uncertainties.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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