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Zbl 1209.93163
Zhou, Shaosheng; Ren, Wenyan; Lam, James
Stabilization for T-S model based uncertain stochastic systems. (English)
[J] Inf. Sci. 181, No. 4, 779-791 (2011). ISSN 0020-0255

Summary: This paper considers the stabilization problem of a class of uncertain Itô stochastic fuzzy systems driven by a multidimensional Wiener process. The uncertainty modeled in the systems is of linear fractional type which includes the norm-bounded uncertainty as a special case. The objective is to design a state-feedback fuzzy controller such that the closed-loop system is robustly asymptotically stable under a stochastic setting. By using a stochastic Lyapunov approach, sufficiency conditions for the stability and stabilization of this class of systems are established based on a novel matrix decomposition technique. The derived stability conditions are then employed to design controllers which stabilize the uncertain Itô stochastic fuzzy systems. Two simulation examples are given to illustrate the effectiveness of the approaches proposed.

MSC 2000:: *93E15 Stochastic stability
93C42 Fuzzy control
93C41 Control problems with incomplete information

Keywords: fuzzy system; stochastic system; stochastic stability; uncertain system; Wiener process

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