Nonlinear Dynamics

, Volume 70, Issue 3, pp 1977–1987

Synchronization of chaotic systems under sampled-data control

  • S. Jeeva Sathya Theesar
  • Santo Banerjee
  • P. Balasubramaniam
Original Paper

DOI: 10.1007/s11071-012-0590-0

Cite this article as:
Theesar, S.J.S., Banerjee, S. & Balasubramaniam, P. Nonlinear Dyn (2012) 70: 1977. doi:10.1007/s11071-012-0590-0

Abstract

The problem of global asymptotical synchronization of chaotic Lur’e systems using sampled-data controller is considered in this paper. Sufficient conditions are obtained in terms of effective synchronization linear matrix inequality using a piecewise sawtooth structure of the sampling in time by constructing the new discontinuous Lyapunov functionals. The sampled-data feedback control gain is obtained from the derived condition. The Chua system and horizontal platform system are taken for numerical demonstration to show the effectiveness of the proposed condition.

Keywords

Discontinuous Lyapunov functionalsLur’e systemsSampled-data controlSynchronization

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • S. Jeeva Sathya Theesar
    • 1
    • 2
  • Santo Banerjee
    • 2
  • P. Balasubramaniam
    • 1
  1. 1.Department of MathematicsGandhigram Rural Institute—Deemed UniversityGandhigramIndia
  2. 2.Institute for Mathematical ResearchUniversiti Putra MalaysiaSerdangMalaysia