Controlling and tracking hyperchaotic Rössler system via active backstepping design

Hao Zhang, Xi-kui Ma, Ming Li and Jian-long Zou

Chaos, Solitons & Fractals, 2005, vol. 26, issue 2, 353-361

Abstract: This paper presents a novel active backstepping control approach for controlling hyperchaotic Rössler system to a steady state as well as tracking of any desire trajectory to be achieved in a systematic way. The proposed method is a systematic design approach and consists in a recursive procedure that interlaces the choice of a Lyapunov function with the design of active control. Numerical results show that the controller is singularity free and the closed-loop system is stable globally. Especially, the main feature of this technique is that it gives the flexibility to construct a control law. Finally, numerical experiments verify the feasibility and effectiveness of the proposed control technique.

Date: 2005
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:2:p:353-361

DOI: 10.1016/j.chaos.2004.12.032

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