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BIBO Stabilization of T-S Fuzzy Neutral Systems by LMI Approach

Guihua Li, Jun Yang, and Yan Zeng
International Journal of Control, Automation, and Systems, vol. 8, no. 4, pp.850-856, 2010

Abstract : In this paper, the problem of bounded-input bounded-output (BIBO) stabilization for a class of Takagi-Sugeno (T-S) fuzzy neutral systems is considered. Based on the Lyapunov-Krasovskii func-tional, the descriptor model transformation and the linear matrix inequality (LMI) approach, sufficient conditions guaranteeing BIBO stabilization of the T-S fuzzy neutral systems are established in terms of LMIs. And an explicit expression of the desired controller is readily given when these LMIs are feasible. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.

Keyword : Bounded-input bounded-output (BIBO), fuzzy neutral systems, Lyapunov-Krasovskii functional, linear matrix inequalities (LMIs).

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