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Synchronization of chaotic systems under sampled-data control

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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.

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Authors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute—Deemed University, Gandhigram, 624302, Tamil Nadu, India

    S. Jeeva Sathya Theesar & P. Balasubramaniam

  2. Institute for Mathematical Research, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia

    S. Jeeva Sathya Theesar & Santo Banerjee

Authors
  1. S. Jeeva Sathya Theesar
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  2. Santo Banerjee
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  3. P. Balasubramaniam
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Correspondence to Santo Banerjee.

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Theesar, S.J.S., Banerjee, S. & Balasubramaniam, P. Synchronization of chaotic systems under sampled-data control. Nonlinear Dyn 70, 1977–1987 (2012). https://doi.org/10.1007/s11071-012-0590-0

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  • DOI: https://doi.org/10.1007/s11071-012-0590-0

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