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Adaptive chatter free sliding mode control for a class of uncertain chaotic systems

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  • Zhang, Xuxi
  • Liu, Xianping
  • Zhu, Qidan

Abstract

The chaos control for a class of uncertain chaotic system is studied. By using the Lyapunov stability theory and adaptive control technique, an adaptive chatter free sliding mode control is proposed without the knowledge of the bounds of the uncertain term representing the model uncertainty and unknown disturbance. Numerical simulation result is provided to show the effectiveness of the proposed control law.

Suggested Citation

  • Zhang, Xuxi & Liu, Xianping & Zhu, Qidan, 2014. "Adaptive chatter free sliding mode control for a class of uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 431-435.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:431-435
    DOI: 10.1016/j.amc.2014.01.094
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
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    3. Dadras, Sara & Momeni, Hamid Reza, 2009. "Control uncertain Genesio–Tesi chaotic system: Adaptive sliding mode approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3140-3146.
    4. Yassen, M.T., 2006. "Chaos control of chaotic dynamical systems using backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 537-548.
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    Cited by:

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    3. Shirkavand, Mehrdad & Pourgholi, Mahdi, 2018. "Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 135-147.
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