摘要
研究不同参数统一混沌系统的同步问题.首先采用直接构造法为响应系统设计适当的控制器,将误差系统化成三对角结构;然后根据具有三对角结构的非线性系统状态全局渐近稳定的性质,得到误差系统状态在原点渐近稳定,进而实现驱动系统与响应系统的同步;最后在参数相同和参数不同两种情况下,分别对统一混沌系统的同步进行数值仿真,仿真结果表明所提出的设计方法是有效的.
Chaos synchronization between two unified chaotic systems with different parameters is investigated. An appropriate controller is designed for response system by using the direct design method. The error system is transformed into a system with special tridiagonal structure. The states of error system are asymptotically stable at the origin according to the character of asymptotical stability of nonlinear systems with the tridiagonal structure. Then, the chaos synchronization of two unified chaotic systems with different parameters is achieved. Finally, chaos synchronization of unified chaotic systems with same and different parameters are simulated. The numerical simulation results show the effectiveness of the proposed synchronization schemes.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第9期1065-1067,1072,共4页
Control and Decision
基金
国家自然科学基金项目(60274009)
教育部暨辽宁省流程工业综合自动化重点实验室开放课题
关键词
统一混沌系统
直接构造法
同步
三对角结构
Unified chaotic system
Direct design method
Synchronization
Tridiagonal structure
