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    ASIA unversity > 資訊學院 > 資訊工程學系 > 會議論文 >  Item 310904400/8862


    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/8862


    Title: A fuzzy lyapunov function approach to stabilize uncertain nonlinear systems using improved random search method
    Authors: Hwang, Jiing-Dong;Tsai, Zhi-Ren;Chen, Jian-Yu
    Contributors: Department of Computer Science and Information Engineering
    Keywords: Control theory;Cybernetics;Differential equations;Feedback control;Fuzzy systems;Linear control systems;Linear matrix inequalities;Lyapunov functions;Nonlinear systems;Optimization;Stabilization;Uncertainty analysis;Closed-loop;Fuzzy Lyapunov function;Fuzzy Lyapunov functions;Linear matrix inequality problems;Lorenz system;Model uncertainties;Model uncertainty;Multiple Lyapunov function;Numerical example;Optimal algorithm;Parallel distributed compensation;Random optimal algorithms;Random search method;Search strategies;Simplex methods;Takagi Sugeno fuzzy systems;Uncertain nonlinear systems
    Date: 2008
    Issue Date: 2010-04-08 20:22:40 (UTC+8)
    Publisher: Asia University
    Abstract: 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. © 2008 IEEE.
    Relation: Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics :3195-3200
    Appears in Collections:[資訊工程學系] 會議論文

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