Improved Results on Fuzzy Filter Design for T-S Fuzzy Systems

Jiyao An, Guilin Wen and Wei Xu

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-21

Abstract:

The fuzzy filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:392915

DOI: 10.1155/2010/392915

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