Reliable control design of fuzzy dynamic systems with time-varying delay

• Published in: Fuzzy sets and systems Vol. 146; no. 3; pp. 349 - 374
• Main Authors: Chen, Bing, Liu, Xiaoping
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 16.09.2004; Elsevier
• Subjects: Actuator fault; Applied sciences; Circuit properties; Computer science; control theory; systems; Control theory. Systems; Digital circuits; Electric, optical and optoelectronic circuits; Electronic circuits; Electronics; Exact sciences and technology; Fuzzy dynamic system; Information, signal and communications theory; Linear matrix inequality; Mathematical methods; Miscellaneous; Reliable control; System theory; Telecommunications and information theory; Theoretical computing; Linear matrix inequality; Fuzzy dynamic system; Reliable control; Actuator fault; Fuzzy system; Control system; System design; Delay system; Fuzzy set; Fuzzy control; Engineering; Asymptotic stability; Feedback; Information processing; Matrix method; Asymptotic approximation; Numerical stability
• ISSN: 0165-0114; 1872-6801
• DOI: 10.1016/S0165-0114(03)00326-9

This paper focuses on the reliable fuzzy control design problem for fuzzy control systems with time delay. Based on linear matrix inequality (LMI) approach, a method for designing a reliable fuzzy controller is presented. The resulting fuzzy control systems are reliable in the sense that asymptotic stability is achieved not only when all control components are operating well, but also in the presence of some component failures. A reliable fuzzy control design scheme via state feedback is proposed in terms of LMIs. The result is extended to the case of observer-based reliable fuzzy control. Two illustrative examples are given to illustrate the validity of the proposed design procedures.