On Complete Control and Synchronization of Zhang Chaotic System with Uncertain Parameters using Adaptive Control Method

被引：2

作者：

Tirandaz H. ^{[1
]}

机构：

[1] Mechatronics Faculty, Hakim Sabzevari University, Sabzevar

来源：

Nonlinear Engineering | 2018年 / 7卷 / 01期

关键词：

adaptive control; Lü chaotic system; synchronization; Zhang chaotic system;

D O I：

10.1515/nleng-2017-0050

中图分类号：

学科分类号：

摘要：

Chaos control and synchronization of chaotic systems is seemingly a challenging problem and has got a lot of attention in recent years due to its numerous applications in science and industry. This paper concentrates on the control and synchronization problem of the three-dimensional (3D) Zhang chaotic system. At first, an adaptive control law and a parameter estimation law are achieved for controlling the behavior of the Zhang chaotic system. Then, non-identical synchronization of Zhang chaotic system is provided with considering the Lü chaotic system as the follower system. The synchronization problem and parameters identification are achieved by introducing an adaptive control law and a parameters estimation law. Stability analysis of the proposed method is proved by the Lyapanov stability theorem. In addition, the convergence of the estimated parameters to their truly unknown values are evaluated. Finally, some numerical simulations are carried out to illustrate and to validate the effectiveness of the suggested method. © 2017 Walter de Gruyter GmbH, Berlin/Boston.

引用

页码：45 / 50

页数：5

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