Cascade adaptive control of uncertain unified chaotic systems
Wei Wei(魏伟)a)†, Li Dong-Hai(李东海) b), and Wang Jing(王京)c)
a School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China; b State Key Lab of Power Systems, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China; c Engineering Research Institute, University of Science and Technology Beijing, Beijing 100083, China
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.
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