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Chaos and optimal control of a coupled dynamo with different time horizons

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  • El-Gohary, Awad
  • Yassen, Rizk

Abstract

The dynamo system, for acceptable parameter values, exhibits a chaotic behavior. The present paper discusses the problem of chaos, and optimal control of the dynamo system within finite and infinite time horizons. The optimal control inputs that ensure asymptotic stability of this system about its equilibrium states in both cases are obtained as functions of the phase state and time. Extensive numerical studies of both uncontrolled and controlled dynamo system are introduced.

Suggested Citation

  • El-Gohary, Awad & Yassen, Rizk, 2009. "Chaos and optimal control of a coupled dynamo with different time horizons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 698-710.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:698-710
    DOI: 10.1016/j.chaos.2008.03.001
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    References listed on IDEAS

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    1. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    2. El-Gohary, Awad & Yassen, Rizk, 2006. "Adaptive control and synchronization of a coupled dynamo system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1085-1094.
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    Cited by:

    1. 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.

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