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A fuzzy Lyapunov function approach to stabilize uncertain nonlinear systems using improved random search method

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3 Author(s)
Jiing-Dong Hwang ; Inst. of Comput. & Commun. Eng., Jinwen Univ. of Sci. & Technol., Taipei ; Zhi-Ren Tsai ; Jian-Yu Chen

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.

Published in:

Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on

Date of Conference:

12-15 Oct. 2008