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Global sliding mode control and application in chaotic systems

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Abstract

This paper is concerned with the stabilization problem for a class of nonlinear systems. Using the global sliding mode control approach, a novel robust control law is established to make the state of system stable and to improve the robustness and the stability of system. A new reaching law is introduced to reduce the chattering. Finally, the method is applied to chaotic systems and an example of the chaotic system is given to illustrate the advantage of the proposed method.

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Leipo Liu & Zhengzhi Han

  2. College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

    Wenlin Li

Authors
  1. Leipo Liu
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  2. Zhengzhi Han
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  3. Wenlin Li
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Correspondence to Leipo Liu.

Additional information

Supported by National Science Foundation of China under grants 60774011 and 60674024.

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Liu, L., Han, Z. & Li, W. Global sliding mode control and application in chaotic systems. Nonlinear Dyn 56, 193–198 (2009). https://doi.org/10.1007/s11071-008-9391-x

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  • DOI: https://doi.org/10.1007/s11071-008-9391-x

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