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Liu混沌系统的线性反馈和状态观测器同步
引用本文:单梁,刘光杰,李军,王执铨.Liu混沌系统的线性反馈和状态观测器同步[J].系统仿真学报,2007,19(6):1335-1338.
作者姓名:单梁  刘光杰  李军  王执铨
作者单位:南京理工大学自动化系,南京,210094
基金项目:高等学校博士学科点专项科研项目
摘    要:Liu混沌系统是新近提出的三维混沌系统。文章分析Liu混沌系统的结构特点,设计了线性反馈同步方法和基于状态观测器的同步方法。线性反馈同步法结构简单;通过误差系统的分析,从理论上推导了系统实现同步的充分条件。基于状态观测器的同步方法对原系统结构没有特殊要求,无需求解Lyapunov函数;通过设定不同的控制参量,分析了控制参量和同步速度之间的关系。实验结果证明了两种同步方法的有效性和正确性。

关 键 词:Liu混沌系统  线性反馈  状态观测器  同步控制
文章编号:1004-731X(2007)06-1335-04
收稿时间:2006-01-12
修稿时间:2006-07-26

Synchronization of Liu Chaotic System Based on Linear Feedback and State Observers Methods
SHAN Liang,LIU Guang-jie,LI Jun,WANG Zhi-quan.Synchronization of Liu Chaotic System Based on Linear Feedback and State Observers Methods[J].Journal of System Simulation,2007,19(6):1335-1338.
Authors:SHAN Liang  LIU Guang-jie  LI Jun  WANG Zhi-quan
Institution:Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract:Liu chaotic system is a newly proposed three-dimensional chaotic system. The structure of Liu chaotic system was analyzed, and then linear feedback synchronization method and state observers synchronization method were designed. The linear feedback synchronization method has a simple structure. By analyzing the error system, the sufficient condition to realize synchronization was theoretically deduced. The synchronization method based on state observers has no special requirements for the original system structure without resolving the Lyapunov functions. The relationship between control parameter and synchronization speed was analyzed by setting different control parameters. The experiment results show that the two methods proposed are effective and accurate.
Keywords:Liu chaotic system  linear feedback  state observers  synchronization control
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