陈氏混沌系统的稳定追踪控制

Stable tracking control of Chen's chaotic system

利用非线性反馈控制实现陈氏混沌系统在有界条件下对任意信号的追踪.根据系统结构特点选取合适的反馈方式,设计非线性控制律,并由Lyapunov直接方法证明误差信号渐近稳定于零且所有变量满足有界条件.数值研究结果表明,受控系统可对任意形式光滑参考信号(包括其他混沌系统的输出信号)进行追踪.该方法是一种物理可实现的稳定追踪控制方法,也可用于不同混沌系统之间的异结构同步.

Tracking to arbitrary signals in bounded Chen＇s chaotic system is realized by nonlinear feedback control. Proper feedback form is determined according to the characteristic of system structure, and the nonlinear controller is designed. The Lyapunov direct method is applied to prove that the error signal is asymptotically stable at zero, and all variables in controlled system are bounded. Numerical researches show that the controlled system can track reference signals in arbitrary form, including the output of other chaotic systems. The proposed method is a physically feasible tracking control strategy, and it is also can be used in the synchronization between different chaotic systems.