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International Conference Automation

ICA 2017: Automation 2017 pp 22–33Cite as

The PLC Implementation of Fractional-Order Operator Using CFE Approximation

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 550))

Abstract

In the paper an implementation of an elementary fractional order, integro-differential operator at PLC platform is discussed. The considered element is approximated with the use of discrete CFE approximation. The operator we deal with is a crucial part of fractional order PID controller. Guidelines to PLC implementation with the use of object-oriented approach presented by IEC 61131.3 standard are given also. As an example the implementation at SIEMENS SIMATIC S7 1200 platform is presented. As a reference the analytical response of element was applied, the quality of model was estimated with use of typical MSE cost function. Results of experiments show, that the PLC implementation of the fractional order element is possible to make with the use of object-oriented approach and the accuracy of approximation is determined by its order.

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Acknowledgments

The paper was sponsored by AGH University grant no 11.11.120.817.

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Authors and Affiliations

  1. AGH University, A. Mickiewicza 30, 30-059, Krakow, Poland

    Krzysztof Oprzedkiewcz & Wojciech Mitkowski

  2. State Higher Vocational School in Tarnow, A. Mickiewicza 8, 33-100, Tarnow, Poland

    Edyta Gawin

Authors
  1. Krzysztof Oprzedkiewcz
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  2. Wojciech Mitkowski
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  3. Edyta Gawin
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Corresponding author

Correspondence to Krzysztof Oprzedkiewcz .

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Editors and Affiliations

  1. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Oprzedkiewcz, K., Mitkowski, W., Gawin, E. (2017). The PLC Implementation of Fractional-Order Operator Using CFE Approximation. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2017. ICA 2017. Advances in Intelligent Systems and Computing, vol 550. Springer, Cham. https://doi.org/10.1007/978-3-319-54042-9_2

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  • DOI: https://doi.org/10.1007/978-3-319-54042-9_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54041-2

  • Online ISBN: 978-3-319-54042-9

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