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Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm

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Abstract

In this paper, we authors propose to use an optimization technique known as Differential Evolution (DE) optimizer for the approximation of fractional-order systems with rational functions of low order. Usual integer-order models with eleven unknown parameters are optimized to represent non-integer-order systems using the DE algorithm. Four numerical examples have illustrated the efficiency of the proposed reduced-order approximation algorithm. The results obtained from the DE approach were compared with those of Oustaloup and Charef approximation techniques for fractional-order transfer functions. They showed clearly that the proposed approach provides a very competitive level of performance with a reduced model order and less parameters.

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Authors and Affiliations

  1. Department of Electrical Engineering, Sétif 1 University, 19000, Sétif, Algeria

    Bachir Bourouba

  2. Depart. of E.E.A. Of.: 447, National Polytechnic School of Constantine, Nouvelle ville Ali Mendjli, BP 75 A, 25100, Constantine, Algeria

    Samir Ladaci

  3. Department of Electronics, University Mentouri, 25000, Constantine, Algeria

    Abdelhafid Chaabi

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  1. Bachir Bourouba
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  2. Samir Ladaci
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  3. Abdelhafid Chaabi
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Correspondence to Samir Ladaci.

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Bourouba, B., Ladaci, S. & Chaabi, A. Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm. J Control Autom Electr Syst 29, 32–43 (2018). https://doi.org/10.1007/s40313-017-0356-5

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