A new method of adaptive tracking control for chaotic system

作者：Luo Xiao Hua^*; Li Hua Qing; Chen Qiu Hua

来源：Acta Physica Sinica, 2009, 58(11): 7532-7538.

• adaptive tracking control
• compensatory controller
• adaptive controller
• tracking controller

In this paper, a new strategy of adaptive tracking control of chaotic system is proposed. By designing the compensatory controller in advance, this method transforms the tracking control problem of reference signals which are tracked by chaotic system states variables into the adaptive synchronization problem of identical-structured chaotic system variables. Tracking controller is equal to the sum of compensatory controller and adaptive controller. Truth of tracking controller designed by proposed strategy is proved theorically based on Lyapunov stability theory. Finally, taking hyperchaotic Chen system as controlled object, tracking controllers are designed in this way to track fixed points, sine signals, cosine signals, identical-structured chaotic system state variables and different-structured chaotic system state variables. The response time is very short, showing the effectiveness of the strategy.

• 出版日期2009-11
• 单位重庆大学