Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems

Authors:
C. W. Chen;W. L. Chiang;F. H. Hsiao
Affiliations:
Department of Civil Engineering, National Central University, Chung-li, Taiwan 320, ROC;Department of Civil Engineering, National Central University, Chung-li, Taiwan 320, ROC;Department of Electronic Engineering, National United University, Miao Li, Taiwan 360, ROC
Venue:
Mathematics and Computers in Simulation
Year:
2004

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Abstract

In this paper, the Takagi-Sugeno (T-S) fuzzy model representation is extended to the stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. In terms of Lyapunov's direct method for multiple time-delay fuzzy interconnected systems, a novel LMI-based stability criterion which can be solved numerically is proposed. Then, the common P matrix of the criterion is obtained by LMI optimization algorithms to guarantee the asymptotic stability of nonlinear interconnect systems with multiple time-delay. Finally, the proposed stability conditions are demonstrated with simulations throughout this paper.