Anti-synchronization of four-wing chaotic systems via sliding mode control

被引：49

作者：

Vaidyanathan S. ^{[1
]}

Sampath S. ^{[1
,2
]}

机构：

[1] Vel Tech Dr. RR and Dr. SR Technical University

[2] Faculty of Technology, CMJ University

来源：

International Journal of Automation and Computing | 2012年 / 9卷 / 03期

关键词：

chaos; Hybrid synchronization; Liu four-wing chaotic system; Qi four-wing chaotic system; sliding control;

D O I：

10.1007/s11633-012-0644-2

中图分类号：

学科分类号：

摘要：

Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the anti-synchronization of identical Qi three-dimensional (3D) four-wing chaotic systems (2008) and identical Liu 3D four-wing chaotic systems (2009). The stability results for the anti-synchronization schemes derived in this paper using sliding mode control (SMC) are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the SMC method is very effective and convenient to achieve global chaos anti-synchronization of the identical Qi four-wing chaotic systems and identical Liu four-wing chaotic systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper. © 2012 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：274 / 279

页数：5

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