Fuzzy guaranteed cost control for nonlinear systems with time-varying delay

• Published in: IEEE transactions on fuzzy systems Vol. 13; no. 2; pp. 238 - 249
• Main Authors: Chen, Bing, Liu, Xiaoping
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2005; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems; Costs; Delay systems; Fuzzy control; Fuzzy dynamic systems with time delay; Fuzzy systems; guaranteed cost control; Linear matrix inequalities; linear matrix inequality (LMI); Nonlinear control systems; Nonlinear systems; observer; State feedback; Time varying systems
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2004.840131

This paper focuses on the problem of guaranteed cost control for Takagi-Sugeno (T-S) fuzzy systems with time-varying delayed state. A linear quadratic cost function is considered as a performance index of the closed-loop fuzzy system. Then, the guaranteed cost control of the closed-loop fuzzy system is discussed, and the sufficient conditions are provided for the construction of a guaranteed cost controller via state feedback and observer-based output feedback. When these conditions, which are given in terms of the feasibility of linear matrix inequalities (LMIs), are satisfied, the designed state feedback controller and observer-based controller gain matrices can be obtained via a convex optimization problem. Two illustrative examples are provided to demonstrate the effectiveness of the approaches proposed in this paper.