Robust H∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions

• Published in: Asian journal of control Vol. 22; no. 2; pp. 611 - 623
• Main Authors: Saifia, Dounia, Chadli, Mohammed, Labiod, Salim, Guerra, Thierry Marie
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.03.2020; Asian Control Association (ACA) and Chinese Automatic Control Society (CACS)
• Subjects: actuator saturation; Actuators; Automatic; Control systems; Convexity; Engineering Sciences; Feedback control; Fuzzy control; Fuzzy systems; fuzzy weighting‐dependent Lyapunov function; H-infinity control; H∞stabilization; Liapunov functions; Linear matrix inequalities; linear matrix inequality; Mathematical analysis; Optimization; Robust control; Saturation; static output feedback; Takagi‐Sugeno (T‐S) fuzzy systems; fuzzy weighting-dependent Lyapunov function; static output feedback; actuator saturation; Takagi-Sugeno (T-S) fuzzy systems; H∞stabilization; linear matrix inequality
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.1987

In this paper, we present a new scheme for designing a H∞ stabilizing controller for discrete‐time Takagi‐Sugeno fuzzy systems with actuator saturation and external disturbances. The weighting‐dependent Lyapunov functions approach is used to design a robust static output‐feedback controller. To address the input saturation problem, both constrained and saturated control input cases are considered. In both cases, stabilization conditions of the fuzzy system are formulated as a convex optimization problem in terms of linear matrix inequalities. Two simulation examples are included to illustrate the effectiveness of the proposed design methods. A comparison with the results given in recent literature on the subject is also presented.