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Adaptive Fuzzy Control-Based Projective Synchronization Scheme of Uncertain Chaotic Systems with Input Nonlinearities

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Recent Advances in Electrical Engineering and Control Applications (ICEECA 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 411))

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Abstract

In this paper, a projective synchronization scheme for a class of master–slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. To practically achieve this synchronization, an adaptive fuzzy variable-structure control system is designed. The fuzzy systems are used to appropriately approximate the uncertain nonlinear functions. A Lyapunov approach is employed to prove the boundedness of all signals of the closed-loop control system as well as the exponential convergence of the synchronization errors to an adjustable region. Simulations results are presented to illustrate the effectiveness of the proposed projective synchronization scheme.

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Author information

Authors and Affiliations

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

    Sarah Hamel & Abdesselem Boulkroune

Authors
  1. Sarah Hamel
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  2. Abdesselem Boulkroune
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Corresponding author

Correspondence to Sarah Hamel .

Editor information

Editors and Affiliations

  1. MIS (EA 4290), Université de Picardie Jules Verne, Amiens, France

    Mohammed Chadli

  2. Laboratoire d'Automatique et de Robotiqu, Université Abbes Laghrour, Khenchela, Khenchela, Algeria

    Sofiane Bououden

  3. VÅ B-Technical University of Ostrava , Ostrava ba, Czech Republic

    Ivan Zelinka

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Hamel, S., Boulkroune, A. (2017). Adaptive Fuzzy Control-Based Projective Synchronization Scheme of Uncertain Chaotic Systems with Input Nonlinearities. In: Chadli, M., Bououden, S., Zelinka, I. (eds) Recent Advances in Electrical Engineering and Control Applications. ICEECA 2016. Lecture Notes in Electrical Engineering, vol 411. Springer, Cham. https://doi.org/10.1007/978-3-319-48929-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-48929-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48928-5

  • Online ISBN: 978-3-319-48929-2

  • eBook Packages: EngineeringEngineering (R0)

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