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H_\infty Output Feedback Control of Discrete-Time Fuzzy Systems With Application to Chaos Control

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4 Author(s)
Cai-Lian Chen ; Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China ; Gang Feng ; Dong Sun ; Xin-Ping Guan

This paper presents an observer based$H_infty$output feedback synthesis method for discrete time fuzzy dynamic systems based on a piecewise Lyapunov function. The basic idea of the approach is to design an observer based piecewise linear output feedback control law to guarantee the global stability with$H_infty$performance of the resulting closed-loop fuzzy control systems. It is shown that the controller parameters can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible with commercially available software. Application to control chaotic systems is given to illustrate the effectiveness and advantages of the proposed method.

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Fuzzy Systems, IEEE Transactions on  (Volume:13 ,  Issue: 4 )