一类参数不确定时滞混沌系统的反同步

J4 ›› 2011, Vol. 49 ›› Issue (05): 922-929.

一类参数不确定时滞混沌系统的反同步

吴晓强, 陈彩云, 岳立娟

东北师范大学物理学院, 长春 130024

收稿日期:2010-12-03 出版日期:2011-09-26 发布日期:2011-09-27
通讯作者: 岳立娟 E-mail:ljyue@nenu.edu.cn

Anti-synchronization for a Class of Delayed Chaotic Systems with Uncertain Parameters

WU Xiao |qiang, CHEN Cai yun, YUE Li juan

College of Physics, Northeast Normal University, Changchun 130024, China

Received:2010-12-03 Online:2011-09-26 Published:2011-09-27
Contact: YUE Li juan E-mail:ljyue@nenu.edu.cn

摘要/Abstract

摘要：

针对一类不确定时滞混沌系统, 基于Lyapunov稳定性理论, 结合自适应控制方法, 设计了自适应控制器及参数自适应律, 证明了控制器和自适应律在参数不确定的情况下可实现时滞混沌系统的反同步, 对不确定参数做出识别, 并分析了控制调节器Ω的作用. 数值仿真结果表明, 该方法正确、有效. 

关键词: 时滞混沌系统, 反同步, 自适应控制方法, 不确定参数

Abstract:

Based on Lyapunov stability theory and the adaptive control method, the adaptive controllers with corresponding parameter adaptive laws were designed for a class of delayed chaotic systems. The theory result proves that the designed controllers and adaptive law could achieve the anti-synchronization of delayed chaotic systems with uncertain parameters, identifying the uncertain parameters. Numerical simulations show that the method are correctness and effectiveness of the proposed method. Furthermore, we also analyzed the effect of control modulator Ω.

Key words: delayed chaotic system, anti\, synchronization, adaptive control method, uncertain parameters

中图分类号:

O545

吴晓强, 陈彩云, 岳立娟. 一类参数不确定时滞混沌系统的反同步[J]. J4, 2011, 49(05): 922-929.

TUN Xiao-Jiang, CHEN Cai-Yun, YUE Li-Juan. Anti-synchronization for a Class of Delayed Chaotic Systems with Uncertain Parameters[J]. J4, 2011, 49(05): 922-929.