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采用模糊控制实现不确定混沌系统投影同步
引用本文:赵磊,姚聪,刘胜荣.采用模糊控制实现不确定混沌系统投影同步[J].黄山学院学报,2012(3):18-21.
作者姓名:赵磊  姚聪  刘胜荣
作者单位:黄山学院信息工程学院;化学工业第二设计院宁波工程有限公司
基金项目:黄山学院自然科学研究项目(2008xkjq016),黄山学院自然科学重点项目(2011xkjq002)
摘    要:当驱动系统和响应系统参数未知和不确定时,研究不同混沌系统的投影同步,采用Takagi-Sugeno(TS)模糊动态模型和Lyapunov稳定性理论,导出了混沌系统广义投影同步的一个充分条件。通过一些矩阵操作技巧,这个准则被转化为一组线性矩阵不等式形式,并用Matlab工具箱方便地解决了这些线性矩阵不等式的求解。对Lorenz方程和Rossler系统的数值模拟,仿真结果表明该方法的有效性。

关 键 词:混沌  广义投影同步  模糊控制

Realizing Projective Synchronization of Uncertain Chaotic Systems by Fuzzy Control
Zhao Lei,Yao Cong,Liu Shengrong.Realizing Projective Synchronization of Uncertain Chaotic Systems by Fuzzy Control[J].Journal of Huangshan University,2012(3):18-21.
Authors:Zhao Lei  Yao Cong  Liu Shengrong
Institution:1(1.College of Information Engineering,Huangshan University,Huangshan245021,China; 2.SEDIN,Ningbo Engineering Co,Ltd;Ningbo315040,China)
Abstract:This paper presents projective synchronization between two different chaotic systems when the parameters of the drive and response systems are unknown and uncertain.Based on Takagi-Sugeno(TS) fuzzy dynamical models and the Lyapunov Stability Theory,a sufficient condition is derived for the generalized projective synchronization of chaotic systems.By using some matrix operation techniques,this criterion is then transformed into linear matrix inequalities(LMI) form,which can be solved numerically using readily available Matlab software packages.The effectiveness of the proposed generalized projective synchronization method is illustrated through numerical simulations of the Lorenz equation and Rossler system.
Keywords:chaos  generalized projective synchronization  fuzzy control
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