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Projective Lag-Synchronization of Unknown Chaotic Systems with Input Nonlinearities

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Advanced Control Engineering Methods in Electrical Engineering Systems (ICEECA 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 522))

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Abstract

This paper solves the problem of projective lag-synchronization based on output feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable structure frame-work. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization-error is constructed. To prove the stability of the overall closed-loop system (controller, observer and drive-response system) and to design the adaptive laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited.

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Author information

Authors and Affiliations

  1. LAJ, 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. Faculty of Sciences and Technology, University Abbes Laghrour Khenchela, Khenchela, Algeria

    Sofiane Bououden

  3. Faculty of Sciences and Technology, University of Constantine, Constantine, Algeria

    Salim Ziani

  4. Department of Computer Science, Faculty of Electrical Engineering and Computer Science, VÅ B-TUO, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

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Hamel, S., Boulkroune, A. (2019). Projective Lag-Synchronization of Unknown Chaotic Systems with Input Nonlinearities. In: Chadli, M., Bououden, S., Ziani, S., Zelinka, I. (eds) Advanced Control Engineering Methods in Electrical Engineering Systems. ICEECA 2017. Lecture Notes in Electrical Engineering, vol 522. Springer, Cham. https://doi.org/10.1007/978-3-319-97816-1_9

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