H∞ Discrete Time Fuzzy Control with Application to Chaos Control based on Piecewise Lyapunov Functions
| Authors: | Chen C.L., City Univ. of Hong Kong, Hong Kong
Feng G., City Univ. of Hong Kong, Hong Kong
Guan X.P., City Univ. of Hong Kong, Hong Kong |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: LMI Methods |
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| Keywords: | Controller synthesis, Fuzzy systems, H-infinity control, Linear matrix inequality, Piecewise Lyapunov functions |
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Abstract
This paper presents an H-infinity controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the approach is to design a piecewise linear state feedback control law and use a piecewise smooth Lyapunov function to establish the global stability with H-infinity performance of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Linear Matrix Inequalities (LMI). Application to control chaotic systems is given to illustrate the performance and advantages of the proposed method.
