基于Riccati方程的混沌同步方法及在保密通信中的应用

Chaotic synchronization based on Riccati equation with application to secure communication

提出了一种基于状态观测器的混沌同步方法和混沌保密通信系统。通过解Riccati方程求得状态观测器的目标矩阵使两个混沌系统同步,用混沌调制和混沌掩盖相结合的方法将该同步方法用于保密通信,用混沌系统的多个状态量对信息信号进行复杂的加密后注入混沌系统并和混沌系统的输出信号一起传送到接收端,发送和接收系统同步后,在接收端解密恢复信息信号。通过对Chua电路和四维Rossler系统的仿真研究,所得结果证明了该方法的有效性。

Based on state-observer theory, a systematic approach was prompted to construct two chaotically synchronized systems. The synchronization gain matrix was obtained by solving the Riccati inequality. The proposed method, combining chaotic masking and chaotic modulation, was then applied to secure communication. The complex encrypted information signal was injected into the chaos system and simultaneously transmitted to the receiver after chaotic masking. The information signal was recovered through a complex decrypter in the synchronized receiver. Furthermore, the well-know Chua’s circuit and four-order Rossler system are considered as illustration examples to demonstrate the effectiveness of the proposed approach.