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

Jianwen Feng, Chen Xu and Jianliang Tang

Chaos, Solitons & Fractals, 2007, vol. 32, issue 4, 1413-1418

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.

Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:4:p:1413-1418

DOI: 10.1016/j.chaos.2005.11.045

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