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This paper addresses stabilization for Takagi-Sugeno (T-S) fuzzy systems with model uncertainties via a so-called fuzzy Lyapunov function, which is a multiple Lyapunov function. Based on the fuzzy Lyapunov function approach and a parallel distributed compensation (PDC) scheme, we provide stabilization conditions for closed-loop fuzzy systems with model uncertainties. Furthermore, we propose a compound search strategy composed of island random optimal algorithms concatenated with the simplex method to identify the chaotic systems, and to solve the linear matrix inequality (LMI) problem. Finally, a numerical example of the Lorenz system is given to illustrate the utility of the proposed approach.
Date of Conference: 12-15 Oct. 2008