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Robust Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Fractional Systems

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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))

Abstract

This paper presents a novel fuzzy logic controller (FLC) equipped with an adaptive algorithm to achieve synchronization performance for tow fractional chaotic systems. By introducing the fuzzy control design and robustness tracking approach, a desired synchronization error can be attenuated to a prescribed level, even in the presence of the high level of uncertainties and noisy training data.

Based on recent works of Lin et al. about synchronization of uncertain fractional order chaotic systems, the main contribution of this work is to enhance the control system behavior using the numerical approximation method of Grünwald–Letnikov. Simulation results clearly showed the efficiency of the proposed control scheme.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Mohamed Boudiaf University of M’sila, 28000, M’sila, Algeria

    Khatir Khettab

  2. Department of Electrical Engineering, Bouira University, 10000, Bouira, Algeria

    Yassine Bensafia

  3. E.E.A. Department, National Polytechnic School of Constantine, O. 447, 25000, Constantine, Algeria

    Samir Ladaci

  4. SP-Lab Laboratory, University Mentouri Constantine, Route de Ain El-Bey, 25000, Constantine, Algeria

    Samir Ladaci

Authors
  1. Khatir Khettab
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  2. Yassine Bensafia
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  3. Samir Ladaci
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Corresponding author

Correspondence to Khatir Khettab .

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. VŠB-Technical University of Ostrava , Ostrava ba, Czech Republic

    Ivan Zelinka

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Khettab, K., Bensafia, Y., Ladaci, S. (2017). Robust Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Fractional Systems. 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_21

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  • DOI: https://doi.org/10.1007/978-3-319-48929-2_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48928-5

  • Online ISBN: 978-3-319-48929-2

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