an:07022552
Zbl 1406.93111
Xia, Xianzhong; Li, Renfa; An, Jiyao
Robust nonfragile \(H_{\infty}\) filtering for uncertain T-S fuzzy systems with interval delay: a new delay partitioning approach
EN
Abstr. Appl. Anal. 2014, Article ID 523462, 17 p. (2014).
00418814
2014
j
93B36 93E11 93D09 93C41 93C42 93C10 93C23
robust \(H_{\infty}\) filtering; uncertain T-S fuzzy systems; delay partitioning; robust stability
Summary: This paper investigates the problem of robust nonfragile fuzzy \(H_{\infty}\) 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 \(H_{\infty}\) 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 \(H_{\infty}\) 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.