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参数未知混沌系统的同步控制与参数识别
引用本文:马米花.参数未知混沌系统的同步控制与参数识别[J].漳州师院学报,2008(4):11-17.
作者姓名:马米花
作者单位:[1]漳州师范学院数学与信息科学系,福建漳州363000
基金项目:福建省基金资助省属高校项目(2007F5099)
摘    要:考虑参数未知的非自治混沌系统作为驱动系统.用自适应控制方法构造一个响应系统,使之与驱动系统的结构相同.基于李雅普诺夫稳定性理论,进一步选择适当的控制器使它们达到完全同步.当驱动一响应系统达到完全同步时,也使它们的系统参数达到一致,由此可以识别驱动系统的参数.以受迫Duffing系统和扩音器系统为例验证了本文提出的方案是有效的.

关 键 词:参数未知系统  自适应控制  参数识别  Duffing系统  扩音器系统

Synchronization Control of Chaotic System with Unknown Parameters and Parameters Identification
MA Mi-hua.Synchronization Control of Chaotic System with Unknown Parameters and Parameters Identification[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2008(4):11-17.
Authors:MA Mi-hua
Institution:MA Mi-hua (Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, Fujian 363000, China)
Abstract:Consider non-autonomous chaotic system with unknown parameters as drive system. By adaptive control, a response system with the same structure as the drive system is constructed. Based on the Lyapunov's stability theory, we further choose a controller to make the drive-response systems achieve completely synchronization. We will make the parameters of the response system be in good agreement with those of the drive system when the drive-response systems achieve completely synchronization. Then the unknown parameters of the drive system can be identified. The forced Duffing oscillator and loudspeaker system are taken as examples to illustrate the effectiveness of the proposed method.
Keywords:system with unknown parameters  adaptive control  parameters identification  Duffing oscillator  loudspeaker system
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