Abstract

The problem of fuzzy sliding mode control of discrete chaotic system is studied. Discrete chaotic system is described based on T-S fuzzy models, and the system is translated into local linear model by fuzzy method. On the basis of Lyapunov stability theorem and approaching law method, a novel sliding mode controller is designed in the paper. The controller insures the stability of global fuzzy model. The controlled certain and uncertain Henon systems are simulated with Matlab, and the numerical results demonstrate the validity and robustness of the control scheme.

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