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This paper addresses stability analysis and stabilization for Takagi-Sugeno (T-S) fuzzy systems with model uncertainties via a so-called fuzzy Lyapunov function, which is a multiple Lyapunov function. The advantage of the fuzzy Lyapunov function is that the controller design is not restricted by a common positive definite matrix (i.e., the common P) to form the quadratic 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.
Systems, Man and Cybernetics, 2006. SMC '06. IEEE International Conference on (Volume:4 )
Date of Conference: 8-11 Oct. 2006