Controlling and tracking hyperchaotic Rössler system via active backstepping design. (English) Zbl 1153.93381

Zhang, Hao; Ma, Xikui; Li, Ming; Zou, Jianlong

Chaos Solitons Fractals 26, No. 2, 353-361 (2005).

Summary: 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.

MSC:

93B51	Design techniques (robust design, computer-aided design, etc.)
37N35	Dynamical systems in control
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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