Cascade adaptive control of uncertain unified chaotic systems

doi:10.1088/1674-1056/20/4/040510

Abstract The chaos control of uncertain unified chaotic systems is considered. Cascade adaptive control approach with only one control input is presented to stabilize states of the uncertain unified chaotic system at the zero equilibrium point. Since an adaptive controller based on dynamic compensation mechanism is employed, the exact model of the unified chaotic system is not necessarily required. By choosing appropriate controller parameters, chaotic phenomenon can be suppressed and the response speed is tunable. Sufficient condition for the asymptotic stability of the approach is derived. Numerical simulation results confirm that the cascade adaptive control approach with only one control signal is valid in chaos control of uncertain unified chaotic systems.

Keywords: unified chaotic systems cascade adaptive control approach response speed chaos control

Received: 06 September 2010
Revised: 18 November 2010
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2007CB210106).

Cite this article:

Wei Wei(魏伟), Li Dong-Hai(李东海), and Wang Jing(王京) Cascade adaptive control of uncertain unified chaotic systems 2011 Chin. Phys. B 20 040510

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