Rssler混沌系统的脉冲控制同步  

IMPULSIVE CONTROL FOR SYNCHRONIZATION OF RSSLER CHAOTIC SYSTEMS

作　　者：黄玮[1] 姜丽[1] 

机构地区：[1]辽宁石油化工大学石油化工学院,辽宁抚顺113001

出　　处：《石油化工高等学校学报》2004年第4期75-77,共3页Journal of Petrochemical Universities

基　　金：国家自然科学基金资助项目 (6 0 2 74 0 17) ;教育部博士点基金资助项目 (2 0 0 110 4 5 0 2 3)

摘　　要：针对R ssler混沌系统 ,提出了一种脉冲控制同步的方法。该方法采用驱动系统与响应系统状态变量的线性误差反馈作为脉冲控制信号 ,实现了两个混沌系统的全局渐进同步。利用脉冲微分方程的稳定理论 ,给出了两个混沌系统实现全局渐进同步的判据。当采用相同的脉冲控制矩阵和相等的脉冲间隔时 ,两个混沌系统实现全局渐进同步的判据可以被简化。该方法适用于一大类混沌系统的同步控制。所设计的控制器结构简单 ,易于实现 ,收敛速度快。An impulsive control method for synchronization of two coupled Rssler chaotic systems was proposed. The global asymptotical synchronization of two Rssler chaotic systems was realized by using the linear error feedback of the state variables of the drive system and the response system as impulsive control signal. Based on stability theory of impulsive differential equation, two criterions were obtained to guarantee the global asymptotical synchronization of two Rssler systems. Especially, in the case of same impulsive feedback gain matrix and equal impulsive intervals, the two criterions for the global asymptotical synchronization of two Rssler systems can be simplified. The method is applicable to a large class of chaotic systems. The designed controller is simple and easily implemented in practice applications, along with rapid rate of convergence. The theory analysis and computer simulation results validated its effectiveness.

关 键 词：Roessler系统 脉冲控制 同步 驱动系统 响应系统 

分 类 号：TP273.3[自动化与计算机技术—检测技术与自动化装置]