混沌系统的逆跟踪控制

Inverse tracking control of chaotic systems

提出了一种混沌系统的逆跟踪控制方法。首先,采用非线性逆系统控制理论证明了二类连续混沌系统(Duffing系统和Lorenz系统)的可逆性。通过状态反馈构造混沌系统的逆系统,将逆系统与原混沌系统串联,组成复合伪线性系统。在此基础上,利用线性系统综合方法设计闭环控制器,对复合伪线性系统进行控制,从而实现混沌系统对给定参考值的渐近跟踪。提出的混沌控制方法物理意义明确,系统结构简单,易于实现。仿真结果验证了该方法的有效性。

An inverse tracking control method of chaotic systems is proposed.Firstly,the invertibilities of two types of the continuous chaotic systems,Duffing system and Lorenz system,are proved respectively by using the nonlinear inverse system theory.Then,the inverse system of the originally chaotic system is constructed by means of the nonlinear state feedback.And the composite pseudo linear system is obtained by connecting the inverse system and original system in series.On that basis,a linear synthesis method is employed to design the closed-loop controller,which allows that the chaotic system asymptotically tracks the input reference.The proposed chaos control method is characterized by clearly physical significance,simple control structure and easy to implement.Simulation results validate the effectiveness of the proposed method.