Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control

Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lya-punov＇s stability theory, linear and nonlinear feedback control of adaptive H∞...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 6; pp. 117 - 125
Main Author 付士慧 陆启韶 杜莹
Format Journal Article
LanguageEnglish
Published 01.06.2012
Subjects
Chen系统
同步
外部干扰
广义Hamilton系统
混沌系统
稳定性理论
自适应
非线性反馈控制
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/21/6/060507

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Summary:Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lya-punov＇s stability theory, linear and nonlinear feedback control of adaptive H∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an Hoe-norm constraint. Adaptive H∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.
Bibliography:chaotic system, Hec synchronization, generalized Hamiltonian system, Lyapunov＇s sta-bility theory, adaptive synchronization, Lorenz system, Chen system
Fu Shi-Hui, Lu Qi-Shao, Du Ying（ a） Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China b） School of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing i00191, China c） School of Science, East China University of Science and Technology, Shanghai 200237, China
Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lya-punov＇s stability theory, linear and nonlinear feedback control of adaptive H∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an Hoe-norm constraint. Adaptive H∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.
11-5639/O4
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/21/6/060507