摘要
基于反馈控制几何理论提出了一种新的超混沌系统同步方法.选择合适的光滑向量场,根据多输入多输出微分几何理论将接收系统规范化,由收发端的输出及输出的各阶导数之差构造同步误差状态方程,根据极点配置方法设计反馈控制使发送和接收系统的输出同步,从而使两个系统的部分状态或全部状态同步.以两个完全匹配的蔡氏电路单向耦合构成的6维蔡氏超混沌系统为例,研究了同步情况及其在保密通信中的应用.仿真结果证实了这种方法的有效性.
Based on geometric theory of nonlinear feedback control, a new method for synchronizing hyper-chaotic systems was put forward. After the prerequisite of an appropriate smooth vector field by virtue of multi-input and multi-output nonlinear differential geometry theory to assure the normalization of the receiver system was satisfied, then in terms of differences of outputs and their different orders derivatives of the transmitter and receiver, the synchronization error state equations were constructed. By pole assignment, a nonlinear controller for synchronizing the output signals of two higher chaotic systems was also given and extended to the whole or the part of the states of the two systems. As a result, numerical simulation of a coupled Chua' s circuit and its application in secure communication proved the efficency of the suggested methods.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2004年第5期544-548,共5页
Journal of Zhejiang University：Engineering Science
关键词
超混沌系统
混沌同步
反馈控制
保密通信
Chaos theory
Communication systems
Computer simulation
Current voltage characteristics
Feedback control
Security of data
Synchronization
