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A new fractional order controller tuning method based on Bode’s ideal transfer function

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Abstract

A new tuning method for Fractional Order Controllers (FOC) based on Bode’s ideal transfer function as a reference model is proposed in this paper. The proposed fractional order controller parameters are obtained by a simple tuning technique in two steps. In the first step, the open loop reference fractional integrator is designed according to the desired performances, and then approximated by a rational transfer function using Charef’s or Oustaloup’s approximation method. In the second step, a standard pole placement technique is used to align each pole of the plant transfer function with the nearest one of the Rational Function Approximation (RFA). The FOC transfer function is then obtained by gathering the remained poles and zeros of the RFA. The most innovative character of the proposed method is its simplicity and its remarkable performances in terms of robustness towards the variation of the static gain. Simulation of some illustrative examples confirms and validates the proposed method.

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Authors and Affiliations

  1. LGEA Laboratory, Department of Science and Technology, University Larbi Ben M’Hidi, 04000, Oum El-Bouaghi, Algeria

    Bouziane Keziz & Abdelbaki Djouambi

  2. E.E.A. Department, National Polytechnic School of Constantine, Nouvelle ville Ali Mendjli, 25100, Constantine, Algeria

    Samir Ladaci

  3. SP-Lab Laboratory, University of Mentouri Brothers, 25000, Constantine, Algeria

    Samir Ladaci

Authors
  1. Bouziane Keziz
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  2. Abdelbaki Djouambi
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  3. Samir Ladaci
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Correspondence to Samir Ladaci.

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Keziz, B., Djouambi, A. & Ladaci, S. A new fractional order controller tuning method based on Bode’s ideal transfer function. Int. J. Dynam. Control 8, 932–942 (2020). https://doi.org/10.1007/s40435-020-00608-z

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  • DOI: https://doi.org/10.1007/s40435-020-00608-z

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