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Directly adaptive fuzzy control of discrete-time chaotic systems by least squares algorithm with dead-zone

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Abstract

A new design scheme of directly adaptive fuzzy control for a class of discrete-time chaotic systems is proposed in this paper. The T-S fuzzy model is employed to represent the discrete-time chaotic systems. Then a fuzzy controller is designed and the unknown coefficients of the controller are identified by least squares algorithm with dead-zone. By Lyapunov method, all the signals involved in the closed-loop systems are shown to be bounded and the error between the system output and the reference output is proved to converge to a small neighborhood of zero. Simulation results demonstrate the effectiveness of the theoretical results.

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  1. School of Mathematics, Yancheng Teachers University, Yancheng, 224051, P.R. China

    Haibo Jiang

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  1. Haibo Jiang
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Correspondence to Haibo Jiang.

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Jiang, H. Directly adaptive fuzzy control of discrete-time chaotic systems by least squares algorithm with dead-zone. Nonlinear Dyn 62, 553–559 (2010). https://doi.org/10.1007/s11071-010-9742-2

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  • DOI: https://doi.org/10.1007/s11071-010-9742-2

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