Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems

Sundarapandian Vaidyanathan; Sivaperumal Sampath

Advances in Computer Science and Information Technology. Networks and Communications. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part I

Research Article

Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems

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@INPROCEEDINGS{10.1007/978-3-642-27299-8_12,
    author={Sundarapandian Vaidyanathan and Sivaperumal Sampath},
    title={Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems},
    proceedings={Advances in Computer Science and Information Technology. Networks and Communications. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part I},
    proceedings_a={CCSIT PART I},
    year={2012},
    month={11},
    keywords={Sliding mode control global chaos synchronization chaos Coullet system},
    doi={10.1007/978-3-642-27299-8_12}
}

Sundarapandian Vaidyanathan
Sivaperumal Sampath
Year: 2012
Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems
CCSIT PART I
Springer
DOI: 10.1007/978-3-642-27299-8_12

Sundarapandian Vaidyanathan¹^,*, Sivaperumal Sampath²^,*

1: Vel Tech Dr. RR & Dr. SR Technical University
2: CMJ University Shillong

*Contact email: sundarvtu@gmail.com, sivaperumals@gmail.com

Abstract

In this paper, new results based on the sliding mode control are derived for the global chaos synchronization of identical Coullet chaotic systems (1981). The stability results for the sliding mode control based synchronization schemes derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical Coullet chaotic systems. Numerical simulations are shown to illustrate the effectiveness of the sliding mode control results derived in this paper for the identical Coullet chaotic systems.

Keywords: Sliding mode control global chaos synchronization chaos Coullet system

Published: 2012-11-09

: http://dx.doi.org/10.1007/978-3-642-27299-8_12