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Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement

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  • Ayati, Moosa
  • Khaki-Sedigh, Ali

Abstract

This paper proposes a new method for the adaptive control of nonlinear in parameters (NLP) chaotic systems. A method based on Lagrangian of a cost function is used to identify the parameters of the system. Estimation results are used to calculate the Lyapunov exponents adaptively. Finally, the Lyapunov exponents placement method is used to assign the desired Lyapunov exponents of the closed loop system.

Suggested Citation

  • Ayati, Moosa & Khaki-Sedigh, Ali, 2009. "Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1980-1986.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1980-1986
    DOI: 10.1016/j.chaos.2008.08.017
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    References listed on IDEAS

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    1. Lu, Jia & Yang, Guolai & Oh, Hyounkyun & Luo, Albert C.J., 2005. "Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1879-1892.
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    Cited by:

    1. Yang, Lixin & Jiang, Jun & Liu, Xiaojun, 2016. "Cluster synchronization in community network with hybrid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 82-91.

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