Cascade adaptive control of uncertain unified chaotic systems  

作　　者：魏伟 李东海 王京 

机构地区：[1]School of Computer and Information Engineering,Beijing Technology and Business University [2]State Key Lab of Power Systems,Department of Thermal Engineering,Tsinghua University [3]Engineering Research Institute,University of Science and Technology Beijing

出　　处：《Chinese Physics B》2011年第4期165-170,共6页中国物理B（英文版）

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

摘　　要：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.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.

关 键 词：unified chaotic systems cascade adaptive control approach response speed chaos control 

分 类 号：O415.5[理学—理论物理]