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

被引：6

作者：

Fu Shi-Hui ^{[1
]}

Lu Qi-Shao ^{[2
]}

Du Ying ^{[3
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China

[3] E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 06期

关键词：

chaotic system; H-infinity synchronization; generalized Hamiltonian system; Lyapunov's stability theory; adaptive synchronization; Lorenz system; Chen system; OBSERVER;

D O I：

10.1088/1674-1056/21/6/060507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Adaptive H-infinity 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 Lyapunov's stability theory, linear and nonlinear feedback control of adaptive H-infinity 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 H-infinity-norm constraint. Adaptive H-infinity 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.

引用

页数：9

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