| Adaptive synchronization of Chen chaotic system with uncertain parameters |
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| 作者姓名： | Department of Electronic Information Zhejiang Ocean University Zhoushan ChinaLIU Yu-liang ZHU Jie DING Da-wei Department of Electronic Engineering Shanghai Jiaotong University Shanghai China |
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| 作者单位： | Department of Electronic Information，Zhejiang Ocean University，Zhoushan 316000，ChinaLIU Yu-liang，ZHU Jie，DING Da-wei Department of Electronic Engineering，Shanghai Jiaotong University，Shanghai 200240，China |
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| 摘 要： | By the control method independent of system parameters, synchronization of two Chen chaotic systems with identical, but uncertain parameters is discussed in this article. Based on Lyapunov’s theorem, an adaptive controller and the parameters estimate update law are derived to make the solution of the error dynamical equation converge at the point E(0, 0, 0) with a quick speed, that is, the states of two Chen chaotic systems can be asymptotically synchronized. Numerical simulations verify the effectiveness and the adaptivity to the variation of Chen system parameters.
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| 收稿时间： | 15 November 2006 |
Adaptive synchronization of Chen chaotic system with uncertain parameters |
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| Department of Electronic Information,Zhejiang Ocean University,Zhoushan ,ChinaLIU Yu-liang,ZHU Jie,DING Da-wei Department of Electronic Engineering,Shanghai Jiaotong University,Shanghai ,China.Adaptive synchronization of Chen chaotic system with uncertain parameters[J].The Journal of China Universities of Posts and Telecommunications,2007,14(2):103-105. |
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| Authors: | LIU Yu-liang ZHU Jie DING Da-wei |
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| Affiliation: | 1. Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316000, China;2. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | By the control method independent of system parameters, synchronization of two Chen chaotic systems with identical, but uncertain parameters is discussed in this article. Based on Lyapunov's theorem, an adaptive controller and the parameters estimate update law are derived to make the solution of the error dynamical equation converge at the point E(0, 0, 0) with a quick speed, that is, the states of two Chen chaotic systems can be asymptotically synchronized. Numerical simulations verify the effectiveness and the adaptivity to the variation of Chen system parameters. |
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| Keywords: | adaptive synchronization Chen chaotic system uncertain parameters |
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