Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems
作者： C.W. Chen , W.L. Chiang , F.H. Hsiao
DOI: 10.1016/J.MATCOM.2004.04.001
关键词: Control theory 、 Lyapunov function 、 Fuzzy control system 、 Nonlinear system 、 Exponential stability 、 Circle criterion 、 Fuzzy logic 、 Mathematics 、 Linear matrix inequality 、 Stability criterion
摘要: In this paper, the Takagi-Sugeno (T-S) fuzzy model representation is extended to stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. terms of Lyapunov's direct method time-delay systems, a novel LMI-based criterion which can be solved numerically proposed. Then, common P obtained by LMI optimization algorithms guarantee asymptotic interconnect time-delay. Finally, proposed conditions are demonstrated simulations throughout paper.
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