Global chaos synchronization of a four-scroll novel chaotic system via novel sliding mode control

Author

Vaidyanathan, Sundarapandian ; Sampath, Sivaperumal

Author_Institution

R&D Centre, Vel Tech Univ., Chennai, India

fYear

2014

Firstpage

1

Lastpage

6

Abstract

This paper proposes a novel sliding mode control method for the global chaos synchronization of identical chaotic systems. As an application of this general procedure, we derive a sliding mode controller for the global chaos synchronization of identical novel four-scroll chaotic systems. The novel chaotic system introduced in this paper is a eight-term four-scroll chaotic system with a cubic nonlinearity. The phase portraits and properties of the novel four-scroll chaotic system are described in detail. The Lyapunov exponents and Lyapunov dimension of the novel four-scroll chaotic system are obtained. The sliding control results for the synchronization of novel four-scroll chaotic systems are illustrated using MATLAB.

Keywords

Lyapunov methods; chaos; control nonlinearities; nonlinear control systems; synchronisation; variable structure systems; Lyapunov dimension; Lyapunov exponent; MATLAB; cubic nonlinearity; eight-term four-scroll chaotic system; global chaos synchronization; identical chaotic system; phase portrait; sliding control; sliding mode control method; Chaotic communication; Dynamics; Equations; Mathematical model; Sliding mode control; Synchronization; chaos; chaos synchronization; chaotic systems; four-scroll system; sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Science Engineering and Management Research (ICSEMR), 2014 International Conference on

Print_ISBN

978-1-4799-7614-0

Type

conf

DOI

10.1109/ICSEMR.2014.7043682

Filename

7043682