统一混沌系统与其变形系统间的间歇反馈同步控制  

Synchronous Control Between Unified Chaotic System and Its Modified System Based on Intermittent Feedback

作　　者：孙克辉[1] 尚芳[1] 钟科[1] 盛喆[2] 

机构地区：[1]中南大学物理科学与技术学院,长沙410083 [2]中南大学数学与统计学院,长沙410083

出　　处：《电子与信息学报》2009年第1期71-74,共4页Journal of Electronics & Information Technology

基　　金：国家自然科学基金60672041资助课题

摘　　要：采用间歇反馈控制方法,研究了统一混沌系统与其变形系统间的同步控制问题。通过合理设计间歇反馈控制器,将同步问题转化为误差动力学系统方程在原点处的收敛问题。根据连续系统的稳定性准则及相关实验,推导出了满足同步条件的同步定理。分析了初始值X(0)和Y(0)、反馈系数k、比例因子D、步长h以及统一系统参数α对同步系统的同步性能的影响。最后,采用间隙反馈同步方案,设计了一个混沌掩盖保密通信系统,并进行了仿真研究。仿真实验研究证明了该同步方法的有效性。The synchronization issue between unified chaotic system and its modified system is studied by employing intermittent feedback control. After properly designing intermittent feedback controller, the practical stability of synchronization systems is equivalent to that of the origin of the error dynamic system equation. A synchronization theorem, which satisfies the synchronization condition, is developed based on the stability theorem of the continuous systems and our simulation experiments. The synchronization performances with different initial value X（0） and Y（0）, coefficient k, ratio D, step h and parameter a are discussed in detail. A security communication system based on chaotic masking method is designed and simulated by applying the scheme of intermittent feedback synchronization. Simulation experiments proved the effectiveness of the synchronization approach.

关 键 词：混沌同步 间歇反馈控制 统一混沌系统 混沌掩盖 

分 类 号：TN918[电子电信—通信与信息系统]