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Nonlinear control of chaotic systems:A switching manifold approach

Author

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  • Jin-Qing Fang
  • Yiguang Hong
  • Huashu Qin
  • Guanrong Chen

Abstract

In this paper, a switching manifold approach is developed for nonlinear feed-back control of chaotic systems. The design strategy is straightforward, and the nonlinear control law is the simple bang–bang control. Yet, this control method is very effective; for instance, several desired equilibria can be stabilized by using one control law with different initial conditions. Its effectiveness is verified by both theoretical analysis and numerical simulations. The Lorenz system simulation is shown for the purpose of illustration.

Suggested Citation

  • Jin-Qing Fang & Yiguang Hong & Huashu Qin & Guanrong Chen, 2000. "Nonlinear control of chaotic systems:A switching manifold approach," Discrete Dynamics in Nature and Society, Hindawi, vol. 4, pages 1-11, January.
    • Handle: RePEc:hin:jnddns:378418
    DOI: 10.1155/S1026022600000248
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    Cited by:

    1. Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.

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