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Real-Time PLC Implementations of Fractional Order Operator

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Automation 2018 (AUTOMATION 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 743))

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Abstract

The paper is intended to show a real time implementation of an elementary fractional order, integro-differential operator at PLC platform. The considered element is approximated with the use of known discrete PSE and CFE approximations. The operator we deal with is a crucial part of fractional order PID controller and another FO control algorithms. As an example the implementation at SIEMENS SIMATIC S7 1500 platform is presented. The both proposed approximations PSE and CFE were compared in the sense of accuracy, convergence and PLC execution time. Results of experiments show, that the PLC implementation of the fractional order element using the both approximations can be done with the use of object-oriented approach, the accuracy of approximation is determined by its order. The CFE approximation is much more faster than PSE and its accuracy is comparable to accuracy of PSE.

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Acknowledgments

The paper was sponsored by AGH University grant no. 11.11.120.815.

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Authors and Affiliations

  1. AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Krakow, Poland

    Krzysztof Oprzędkiewicz

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

    Edyta Gawin

  3. Control Process IT, Mikolajowice 221, 33-121, Bogumilowice, Poland

    Tomasz Gawin

Authors
  1. Krzysztof Oprzędkiewicz
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  2. Edyta Gawin
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  3. Tomasz Gawin
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Corresponding author

Correspondence to Krzysztof Oprzędkiewicz .

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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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Oprzędkiewicz, K., Gawin, E., Gawin, T. (2018). Real-Time PLC Implementations of Fractional Order Operator. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2018. AUTOMATION 2018. Advances in Intelligent Systems and Computing, vol 743. Springer, Cham. https://doi.org/10.1007/978-3-319-77179-3_4

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  • DOI: https://doi.org/10.1007/978-3-319-77179-3_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77178-6

  • Online ISBN: 978-3-319-77179-3

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