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Observer-based design of set-point tracking adaptive controllers for nonlinear chaotic systems

Author

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  • Khaki-Sedigh, A.
  • Yazdanpanah-Goharrizi, A.

Abstract

A gradient based approach for the design of set-point tracking adaptive controllers for nonlinear chaotic systems is presented. In this approach, Lyapunov exponents are used to select the controller gain. In the case of unknown or time varying chaotic plants, the Lyapunov exponents may vary during the plant operation. In this paper, an effective adaptive strategy is used for online identification of Lyapunov exponents and adaptive control of nonlinear chaotic plants. Also, a nonlinear observer for estimation of the states is proposed. Simulation results are provided to show the effectiveness of the proposed methodology.

Suggested Citation

  • Khaki-Sedigh, A. & Yazdanpanah-Goharrizi, A., 2006. "Observer-based design of set-point tracking adaptive controllers for nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1063-1072.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1063-1072
    DOI: 10.1016/j.chaos.2005.08.115
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    Cited by:

    1. Goharrizi, Amin Yazdanpanah & Khaki-Sedigh, Ali & Sepehri, Nariman, 2009. "Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2448-2455.
    2. Wang, Jiang & Si, Wenjie & Li, Huiyan, 2009. "Robust ISS-satisficing variable universe indirect fuzzy control for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 28-38.
    3. Pan, Shing-Tai & Lai, Chih-Chin, 2008. "Identification of chaotic systems by neural network with hybrid learning algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 233-244.

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