STABILITY ANALYSIS OF T-S FUZZY MODELS FOR NONLINEAR MULTIPLE TIME-DELAY INTERCONNECTED SYSTEMS

Abstract eng:
In this paper, the Takagi-Sugeno (T-S) fuzzy model approach is extended to the stability analysis for nonlinear interconnected systems with multiple time delays. A stability criterion in terms of Lyapunov's direct method for multiple time-delay fuzzy interconnected systems is proposed. Then, the common P matrix of the criterion is obtained by using linear matrix inequality (LMI) optimization algorithms to guarantee the asymptotic stability of nonlinear multiple time-delay systems. Finally, the proposed stable conditions are demonstrated with simulations throughout this paper.

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