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A projective synchronization scheme based on fuzzy adaptive control for unknown multivariable chaotic systems

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Abstract

In this paper, a projective synchronization problem of master–slave chaotic systems is investigated. More specifically, a fuzzy adaptive controller is investigated for a projective synchronization of uncertain multivariable chaotic systems. The adaptive fuzzy-logic systems are used to approximate the unknown functions. A decomposition property of the control gain matrix is used in the controller design and the stability analysis. A Lyapunov approach is employed to derive the parameter adaptation laws and prove the boundedness of all signals of the closed-loop system as well as the exponential convergence of the synchronization errors to an adjustable region. Numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.

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Authors and Affiliations

  1. LAJ Laboratory, University of Jijel, BP. 98, Ouled-Aissa, 18000 , Jijel, Algeria

    A. Boulkroune, A. Bouzeriba & S. Hamel

  2. NDT Laboratory, University of Jijel, BP. 98, Ouled-Aissa, 18000 , Jijel, Algeria

    T. Bouden

Authors
  1. A. Boulkroune
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  2. A. Bouzeriba
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  3. S. Hamel
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  4. T. Bouden
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Correspondence to A. Boulkroune.

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Boulkroune, A., Bouzeriba, A., Hamel, S. et al. A projective synchronization scheme based on fuzzy adaptive control for unknown multivariable chaotic systems. Nonlinear Dyn 78, 433–447 (2014). https://doi.org/10.1007/s11071-014-1450-x

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