Robust Nonfragile Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach

Xianzhong Xia, Renfa Li and Jiyao An

Abstract and Applied Analysis, 2014, vol. 2014, 1-17

Abstract:

This paper investigates the problem of robust nonfragile fuzzy filtering for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Attention is focused on the design of a filter such that the filtering error system preserves a prescribed performance, where the filter to be designed is assumed to have gain perturbations. By developing a delay decomposition approach, both lower and upper bound information of the delayed plant states can be taken into full consideration; the proposed delay-fractional-dependent stability condition for the filter error systems is obtained based on the direct Lyapunov method allied with an appropriate and variable Lyapunov-Krasovskii functional choice and with tighter upper bound of some integral terms in the derivation process. Then, a new robust nonfragile fuzzy filter scheme is proposed, and a sufficient condition for the existence of such a filter is established in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are utilized to demonstrate the effectiveness and reduced conservatism of the proposed approach.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:523462

DOI: 10.1155/2014/523462

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