混沌系统的最优反同步  

Optimal Anti-synchronization of Different Chaotic Systems

作　　者：朱红兰[1] 

机构地区：[1]淮阴工学院,江苏淮安223003

出　　处：《佳木斯大学学报（自然科学版）》2009年第4期622-625,628,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：淮阴工学院基金(HGQN0725)

摘　　要：近年来,混沌同步问题是混沌控制中的一个热点问题.本文在参数未知的情况下,通过设计最优控制器和参数自适应律实现了新的四维混沌系统与超混沌吕系统的反同步.接着根据Lyapunov稳定性原理和Hamilton-Jacobi-Bellman方程,选取Lyapunov函数和合适的性能指标函数从理论上证明这种方法的有效性.理论证明结果表明本文所设计的控制器能使性能指标函数取得最小值,是最优的.最后又通过matlab软件对反同步系统进行数值仿真,仿真结果表明驱动系统与响应系统能够很好地达到了同步,说明这种方法是可行有效的.Recently, the synchronous problem of the chaos has been the hot spot in Chaos control. In this paper the anti - synchronization between a new four-dimensional chaotic system and hyperchaotie LU system was achieved with fully unknown parameters through design optimal controller and parameters updating rule. It is proved that the validity of this synchronous method theoretically is feasible by Hamilton - Jacobi - Bellman equation and Lyapunov method. A simulation was conducted with Matlab to prove the anti - synchronized of two different chaotic systems. Simulation results show that this method is efficient.

关 键 词：混沌 反同步 最优化 自适应 

分 类 号：O545[理学—物理]