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Title: Stability conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
He, Y. 
Issue Date: 2007
Citation: Lin, C., Wang, Q.-G., Lee, T.H., He, Y. (2007). Stability conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach. IET Control Theory and Applications 1 (1) : 127-132. ScholarBank@NUS Repository.
Abstract: The asymptotic stability of Takagi-Sugeno (T-S) fuzzy systems with state delay is studied. The aim is not only to extend the fuzzy weighting-dependent Lyapunov function method for delay-free fuzzy systems to time-delay fuzzy systems, but also to provide state-of-the-art stability analysis methods for time-delay fuzzy systems. First, the fuzzy weighting-dependent Lyapunov-Krasovskii functional is used to reduce the conservatism entailed in previous results using quadratic Lyapunov-Krasovskii functionals. By adopting a recent technique called the free-weighting matrix method, a delay-dependent stability condition that improves existing results for time-delay fuzzy systems is derived. Next, an augmented fuzzy weighting-dependent Lyapunov-Krasovskii functional is proposed to further reduce the conservatism. Delay-independent stability criteria are easy corollaries of the present delay-dependent results. Finally, three examples are given to illustrate the reduced conservativeness achieved by the proposed methods. © The Institution of Engineering and Technology 2006.
Source Title: IET Control Theory and Applications
ISSN: 17518644
DOI: 10.1049/iet-cta:20050165
Appears in Collections:Staff Publications

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