Liu系统的跟踪控制及其在保密通信中的应用

Tracking control and synchronization of Liu chaotic system and its application to secure communication

针对Liu混沌系统的追踪控制和同步问题及在保密通信中的应用进行了仿真研究,分析了Liu混沌系统的基本特性。基于Lyapunov稳定性原理,设计出非线性控制器,实现了混沌系统对任意具有一阶导数的参考信号的追踪,并且用这种方法追踪混沌系统的输出信号,实现了2个异结构混沌系统的同步。用混沌掩盖的方法将该同步方法应用于保密通信,用混沌系统的状态变量对信息信号进行加密后,与混沌信号的输出信号一起传送到接收端,发送和接收系统同步以后,在接收端解密恢复出信息信号。仿真结果表明,该方法可以实现单调快速同步,应用于保密通信可以达到掩盖有用信号的目的,并且可以无失真地恢复有用信号。

The issue was investigated on tracking control, chaotic synchronization and its application to secure communication based on Liu system. Some basic properties of Liu system was analyzed. According to the Lyapunov stability theory, a nonlinear controller was presented,which not only made Liu chaotic system following an given reference signal with well defined first derivative but also realized the good chaotic synchronization of two chaotic systems with different structures. Then this method was applied to secure communication through chaotic masking. The encrypted information was transmitted to the receiver after chaotic masking. The information signal was recovered through a decrypter in the synchronized receiver. Simulation results show that the method can realize monotonous synchronization. Furthermore, the information signal can be recovered undistorted when applying this method to secure communication.