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Controlling Chen’s chaotic attractor using two different techniques based on parameter identification

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  • Feng, Jianwen
  • Xu, Chen
  • Tang, Jianliang

Abstract

In this letter, the observer technique is applied to the identification of the unknown parameter of Chen’s chaotic system. Based on this observer, an efficient backstepping design and a simple controller are developed for controlling Chen’s chaotic system. Both of them avoid including divergence factor as in Ref. [Lu JH, Zhang S. Controlling Chens chaotic attractor using backstepping design based on parameter identification. Phys Lett A 2001;286:148]. Especially in the latter scheme, a simple controller is designed via extending equilibrium manifolds of the origin system, which can stabilize the chaotic irregular states not only to arbitrary desired equilibrium-alike point but also to any target periodic orbits as designated online. Numerical simulation is provided to show the effectiveness of the proposed control method.

Suggested Citation

  • Feng, Jianwen & Xu, Chen & Tang, Jianliang, 2007. "Controlling Chen’s chaotic attractor using two different techniques based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1413-1418.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1413-1418
    DOI: 10.1016/j.chaos.2005.11.045
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    Cited by:

    1. Farivar, Faezeh & Aliyari Shoorehdeli, Mahdi & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2012. "Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 80-97.
    2. Farivar, Faezeh & Shoorehdeli, Mahdi Aliyari & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2009. "Generalized projective synchronization for chaotic systems via Gaussian Radial Basis Adaptive Backstepping Control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 826-839.

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