Abstract: Based on the Lyapunov function theorem, the synchronization of two identical Chen chaotic systems is studied by designing a sliding mode controller. This paper directly makes master-slave Chen chaotic system to satisfy stability in the Lyapunov sense. It utilizes a sliding mode controller to synchronize the Chen chaotic systems. Simulation results demonstrate the effectiveness of the proposed method. Moreover the information signal can be recovered undistorted when this method is applied to secure communication.

Key words: Chen chaotic system, chaos synchronization, sliding mode controller, secure communication

摘要： 利用Lyapunov函数定理，设计滑动模态控制器，研究了两个相同Chen混沌系统的同步控制问题。寻找主-从Chen混沌系统满足Lyapunov稳定性理论的条件，在此基础上构造出合适的滑模控制律实现混沌系统之间的完全同步。通过数值仿真结果，证实了所设计方法的有效性和鲁棒性。结合混沌掩盖技术，将该同步方法应用于保密通信中，可以达到掩盖有用传输信号的目的，在接收端无失真地复原出发送端传送的有用信号。

关键词: Chen混沌系统, 混沌同步, 滑模控制器, 保密通信