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New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods

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Advanced, Contemporary Control

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1196))

Abstract

The paper presents new results in implementation of a discrete-time fractional-order PI controller by use of computationally simple and accurate Model Order Reduction-based approximation of a fractional-order integrator. The main advantage of the introduced method is elimination of the steady-state control error, the feature outperforming other finite-length implementations of discrete-time fractional-order integrators. Simulation experiments confirm the effectiveness of the presented methodology, both in terms of high accuracy and computational effectiveness of the introduced approximation.

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Author information

Authors and Affiliations

  1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, ul. Prószkowska 76, 45-758, Opole, Poland

    Rafał Stanisławski, Marek Rydel & Krzysztof J. Latawiec

Authors
  1. Rafał Stanisławski
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  2. Marek Rydel
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  3. Krzysztof J. Latawiec
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Corresponding author

Correspondence to Rafał Stanisławski .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Andrzej Bartoszewicz

  2. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Jacek Kabziński

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Stanisławski, R., Rydel, M., Latawiec, K.J. (2020). New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_100

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