Robust H∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation

• Published in: International journal of control, automation, and systems Vol. 10; no. 3; pp. 613 - 622
• Main Authors: Saifia, Dounia, Chadli, Mohammed, Labiod, Salim, Guerra, Thierry Marie
• Format: Journal Article
• Language: English
• Published: Heidelberg Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2012; 제어·로봇·시스템학회
• Subjects: Control; Engineering; Mechatronics; Regular Papers; Robotics; 제어계측공학; H; static output-feedback stabilization; Takagi-Sugeno (T-S) fuzzy system; uncertainties; Actuator saturation
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-012-0319-3

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 effectiveness of the proposed design method.