基于反馈控制几何理论的混沌系统同步方法

Synchronization of Chaotic Systems Based on Geometric Theory of Nonlinear Feedback Control

基于反馈控制几何理论提出了一种新的混沌系统同步方法。该同步方法的基本思想是在系统可以转化为规范型的前提下,由两个混沌系统的输出之差和输出的各阶导数之差构造误差方程,根据极点配置的方法设计反馈控制,实现两个混沌系统的输出同步,从而使两个系统的部分状态或全部状态同步。对CHUA电路的仿真结果证实了这种方法的有效性。

Based on geometric theory of nonlinear feedback control, a new method to synchronize chaotic systems was put forward.As prerequisite of single-input and single-output nonlinear differential geometry theory to assure the normalization of the receiver system was completed, and then in terms of differences of outputs and their different orders derivatives of the transmitter and receiver, the synchronization error state equations were constructed. By pole assignment, a nonlinear controller to synchronize output signals of two chaotic systems was given. Then parts or all states of the two chaotic systems were synchronized. As a result, numerical simulation to Chua's circuit proves the efficacy of the suggested method.