Continuous control of chaos based on the stability criterion.
A method of chaos control based on stability criterion is proposed in the present paper. This method can stabilize chaotic systems onto a desired periodic orbit by a small time-continuous perturbation nonlinear feedback. This method does not require linearization of the system around the stabilized orbit and only an approximate location of the desired periodic orbit is required which can be automatically detected in the control process. The control can be started at any moment by choosing appropriate perturbation restriction condition. It seems that more flexibility and convenience are the main advantages of this method. The discussions on control of attitude motion of a spacecraft, Rössler system, and two coupled Duffing oscillators are given as numerical examples.
Yu
Hong Jie
HJ
Department of Mechanics, Shanghai Jiao Tong University, 200240 Shanghai, China. yuhongjie@sjtu.edu.cn
Liu
Yan Zhu
YZ
Peng
Jian Hua
JH