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Fuzzy Control-Based Function Synchronization of Unknown Chaotic Systems with Dead-Zone Input

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Advances in Chaos Theory and Intelligent Control

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 337))

Abstract

This chapter deals with adaptive fuzzy control-based function vector synchronization between two chaotic systems with both unknown dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities). This synchronization scheme can be considered as a natural generalization of many existing projective synchronization systems (namely the function projective synchronization, the modified projective synchronization, the projective synchronization and so on). To effectively deal with the input nonlinearities, the control system is designed in a variable-structure framework. In order to approximate uncertain nonlinear functions, the adaptive fuzzy systems are incorporated in this control system. A Lyapunov approach is used to prove the boundedness of all signals as well as the exponential convergence of the corresponding synchronization errors to an adjustable region. The synchronization between two chaotic satellite systems is taken as an illustrative example to show the effectiveness of the proposed synchronization method.

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Author information

Authors and Affiliations

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

    Abdesselem Boulkroune & Sarah Hamel

  2. Faculty of Computers and Information, Benha University, Banha, Egypt

    Ahmad Taher Azar

  3. R & D Centre, Vel Tech University, Chennai, India

    Sundarapandian Vaidyanathan

Authors
  1. Abdesselem Boulkroune
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  2. Sarah Hamel
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  3. Ahmad Taher Azar
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  4. Sundarapandian Vaidyanathan
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Corresponding author

Correspondence to Abdesselem Boulkroune .

Editor information

Editors and Affiliations

  1. Benha University, Benha, Egypt

    Ahmad Taher Azar

  2. Chennai, India

    Sundarapandian Vaidyanathan

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Boulkroune, A., Hamel, S., Azar, A.T., Vaidyanathan, S. (2016). Fuzzy Control-Based Function Synchronization of Unknown Chaotic Systems with Dead-Zone Input. In: Azar, A., Vaidyanathan, S. (eds) Advances in Chaos Theory and Intelligent Control. Studies in Fuzziness and Soft Computing, vol 337. Springer, Cham. https://doi.org/10.1007/978-3-319-30340-6_29

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  • DOI: https://doi.org/10.1007/978-3-319-30340-6_29

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  • Online ISBN: 978-3-319-30340-6

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