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A novel adaptive fuzzy sliding-mode controller for uncertain chaotic systems

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Abstract

This paper is concerned with the stabilization problem for a class of uncertain chaotic systems. Based on a set of linguistic rules, a novel variable universe fuzzy sliding-mode control approach is designed to improve the robustness and the stability of system. Based on Lyapunov stability theory, the overall closed-loop system is shown to be stable. The designed controller not only can control the uncertain chaotic system to a desired state, but also the control action is smooth without chattering. Simulation examples are presented to further illustrate the advantage of the proposed method.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant No. 60973152) and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

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Authors and Affiliations

  1. School of Information Engineering, Dalian University, Dalian, 116622, China

    Yu-Jun Niu

  2. School of Electronic & Information Engineering, Dalian University of Technology, Dalian, 116024, China

    Xing-Yuan Wang

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  1. Yu-Jun Niu
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  2. Xing-Yuan Wang
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Correspondence to Yu-Jun Niu.

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Niu, YJ., Wang, XY. A novel adaptive fuzzy sliding-mode controller for uncertain chaotic systems. Nonlinear Dyn 73, 1201–1209 (2013). https://doi.org/10.1007/s11071-012-0444-9

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