Abstract and Applied Analysis

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

Xianzhong Xia, Renfa Li, and Jiyao An

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This paper investigates the problem of robust nonfragile fuzzy H 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 H 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 H 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.

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 523462, 17 pages.

First available in Project Euclid: 27 February 2015

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Xia, Xianzhong; Li, Renfa; An, Jiyao. Robust Nonfragile ${H}_{\mathrm{\infty }}$ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach. Abstr. Appl. Anal. 2014 (2014), Article ID 523462, 17 pages. doi:10.1155/2014/523462. https://projecteuclid.org/euclid.aaa/1425049808

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