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Robust control of chaos in Lorenz systems subject to mismatch uncertainties

Author

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  • Lin, Jui-Sheng
  • Yan, Jun-Juh
  • Liao, Teh-Lu

Abstract

This paper is concerned with robust control for a class of Lorenz systems subject to mismatch uncertainties. It is implemented by using variable structure control. The proposed variable structure controller ensures the occurrence of the sliding mode for the error dynamics. It is guaranteed that under the proposed control law, uncertain Lorenz systems can drive the system state exactly to some specific points or in a predictable neighborhood of arbitrary desired points in the state space even with mismatch uncertainties, which is not addressed in the literature.

Suggested Citation

  • Lin, Jui-Sheng & Yan, Jun-Juh & Liao, Teh-Lu, 2006. "Robust control of chaos in Lorenz systems subject to mismatch uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 501-510.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:2:p:501-510
    DOI: 10.1016/j.chaos.2005.04.034
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    Cited by:

    1. Feki, Moez, 2009. "Sliding mode control and synchronization of chaotic systems with parametric uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1390-1400.
    2. Chen, Chang-Kuo & Liao, Teh-Lu & Yan, Jun-Juh, 2009. "Active queue management controller design for TCP communication networks: Variable structure control approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 277-285.
    3. Alfi, Alireza, 2012. "Chaos suppression on a class of uncertain nonlinear chaotic systems using an optimal H∞ adaptive PID controller," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 351-357.

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