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Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems

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Abstract

This paper deals with the issue of projective synchronization of two distinct fractional-order chaotic systems with the presence of both uncertain dynamics and external disturbances. More precisely, this study is an attempt to investigate a novel fuzzy adaptive controller for achieving an appropriate projective synchronization of uncertain fractional-order chaotic systems. The adaptive fuzzy systems are utilized to online estimate unknown system nonlinearities. The proposed controller, which is derived based on a Lyapunov approach, is continuous and ensures the stability of the closed-loop system and the exponential convergence of the underlying synchronization errors to a small residual set. Finally, three simulation examples are provided to verify the effectiveness of the proposed synchronization method.

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Authors and Affiliations

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

    A. Bouzeriba & A. Boulkroune

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

    A. Bouzeriba & T. Bouden

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  1. A. Bouzeriba
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  2. A. Boulkroune
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  3. T. Bouden
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Correspondence to A. Boulkroune.

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Bouzeriba, A., Boulkroune, A. & Bouden, T. Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems. Int. J. Mach. Learn. & Cyber. 7, 893–908 (2016). https://doi.org/10.1007/s13042-015-0425-7

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