Title: Global chaos synchronisation of identical chaotic systems via novel sliding mode control method and its application to Zhu system

Authors: Sundarapandian Vaidyanathan; Sivaperumal Sampath; Ahmad Taher Azar

Addresses: Research and Development Centre Vel Tech University Avadi, Chennai-600 062, Tamil Nadu, India ' Department of Electronics and Communication Engineering, Vel Tech University, Avadi, Chennai-600 062, Tamil Nadu, India ' Faculty of Computers and Information, Benha University, Egypt

Abstract: Synchronisation of chaotic systems is an important research problem in chaos theory. In this research work, a novel sliding mode control method is proposed for the global chaos synchronisation of identical chaotic systems. The general result derived using novel sliding mode control method is established using Lyapunov stability theory. As an application of the general result, the problem of global chaos synchronisation of identical Zhu chaotic systems (2010) is studied and a new sliding mode controller is derived. Numerical simulations have been shown to illustrate the phase portraits of Zhu chaotic system and the sliding mode controller design for the global chaos synchronisation of identical Zhu chaotic systems.

Keywords: chaotic systems; sliding mode control; SMC; Lyapunov stability theory; chaos synchronisation; Zhu system; chaos theory; numerical simulation; controller design.

DOI: 10.1504/IJMIC.2015.067495

International Journal of Modelling, Identification and Control, 2015 Vol.23 No.1, pp.92 - 100

Received: 28 Jan 2014
Accepted: 15 May 2014
Published online: 31 Mar 2015 *

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