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Synchronization of chaotic systems based on adaptive observer design
引用本文:华长春,关新平.Synchronization of chaotic systems based on adaptive observer design[J].中国物理 B,2004,13(9):1391-1395.
作者姓名:华长春  关新平
作者单位:Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 60274023).
摘    要:The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results.

关 键 词:混沌同步  自适应理论  线性矩阵不等式  Lorenz系统
收稿时间:2003-07-21

Synchronization of chaotic systems based on adaptive observer design
Hua Chang-Chun and Guan Xin-Ping.Synchronization of chaotic systems based on adaptive observer design[J].Chinese Physics B,2004,13(9):1391-1395.
Authors:Hua Chang-Chun and Guan Xin-Ping
Institution:Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Abstract:The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results.
Keywords:chaos synchronization  adaptive method  linear matrix inequality
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