统一混沌系统反馈同步及在保密通信中的应用

Switching Manifold Nolinear Feedback Control for the Synchronization of Chaotic System

基于非线性系统的状态线性化理论,设计了一种新的统一混沌系统同步控制器,实现了加密信息信号准确的恢复。首先通过坐标变换,将驱动系统和响应系统分别转化为类规范型系统,然后对两个类规范型系统构造误差方程。根据线性系统极点配置方法设计反馈控制器,从而实现两个混沌系统全部状态同步。进而,在发送端用多个混沌信号对信息信号进行掩盖后传送出去,在接收端对混沌掩盖信号进行解密从而恢复出信息信号。最后进行数字仿真,仿真结果验证了该方法的有效性。

Based on state linearization theory of nonlinear system, a new controller to synchornize unified chaotic system was designed, which realized the restoration of encrypted signal accurately. First of all, through coordinate transformation, the driver system and the reponser system were transformed into canonical form systems, and then in term of two canonical form system, the state error equation was constructed. Through pole assignment of linear system, the feedback controller was designed. Then full states of the two chaotic systems were synchronized. Furthermore, the transmitted information signal was masked by more than one chaotic signal in transmitter, then the chaotic masked signal is decrypted to restore the information signal. Finally, numerical simulation is carried out, and the simulation results illustrate the effectiveness of the proposed method.