一类混沌系统的滑动模态同步控制及其应用

摘要

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 Lyapu-nov sense. It utilizes a sliding mode controller to synchronize the Chen chaotic systems. Simulation results demonstrate the effec-tiveness of the proposed method. Moreover the information signal can be recovered undistorted when this method is applied to secure communication.%　　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。