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Synchronization of Chaotic Systems with Unknown Parameters Using Predictive Fuzzy PID Control

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Computational Intelligence (IJCCI 2015)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 669))

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Abstract

In this paper, we consider the synchronization of uncertain chaotic systems using predictive fuzzy PID control. The main aim of the study is to show the role of prediction terms as a function of the sort of the controller used to solve the optimization problem. Therefore, two controllers, fuzzy PI+D and fuzzy PD+I controllers, are used in order to compare their abilities concerning the synchronization of chaotic systems in presence and absence of the prediction terms. This survey reveals that the role of the prediction terms depends on the type of the controller used to optimize the cost function. In the case of the fuzzy PD+I controller, the prediction terms seem to be very useful; on the other hand, in the case of the fuzzy PI+D, they restrict the ability of the controller, which leads to reduce its accuracy. Synchronization of two uncertain Lorenz systems is used to show the differences between the two cases.

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Authors and Affiliations

  1. Laboratory of Automatics and Robotic, Faculty of Engineer Sciences, Department of Electronics, University of Constantine 1, 25000, Constantine, Algeria

    Zakaria Driss & Noura Mansouri

Authors
  1. Zakaria Driss
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  2. Noura Mansouri
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Corresponding author

Correspondence to Zakaria Driss .

Editor information

Editors and Affiliations

  1. Computer Architecture and Computer Technology, Universidad de Granada, Granada, Spain

    Juan Julián Merelo

  2. aSEEB-ISR-IST, Technical University of Lisbon (IST), Lisbon, Portugal

    Agostinho Rosa

  3. Facultad de Informática, University of Murcia, Murcia, Spain

    José M. Cadenas

  4. Departamento de Engenharia Informatica, University of Coimbra, Coimbra, Portugal

    António Dourado Correia

  5. Images, Signals and Intelligence Systems Laboratory, University PARIS-EST Creteil (UPEC), Créteil, France

    Kurosh Madani

  6. Campus de Gambelas, Universidade do Algarve, Faro, Portugal

    António Ruano

  7. Escola Superior de Tecnologia de Setúbal, Polytechnic Institute of Setúbal/INSTICC, Setúbal, Portugal

    Joaquim Filipe

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Driss, Z., Mansouri, N. (2017). Synchronization of Chaotic Systems with Unknown Parameters Using Predictive Fuzzy PID Control. In: Merelo, J.J., et al. Computational Intelligence. IJCCI 2015. Studies in Computational Intelligence, vol 669. Springer, Cham. https://doi.org/10.1007/978-3-319-48506-5_12

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  • DOI: https://doi.org/10.1007/978-3-319-48506-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48504-1

  • Online ISBN: 978-3-319-48506-5

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