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Memory-Effective Modifications of PSE Approximation

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Non-Integer Order Calculus and its Applications (RRNR 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 496))

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Abstract

The paper is intented to propose new, memory effective modifications of known PSE approximant describing a basic fractional order element \(s^\alpha \). The proposed approximants are based on geometric interpretation of Fractional Order Backward Difference/Sum. Results of numerical tests point that all the proposed approximants for the same, short memory length assure the better accuracy in the sense of MSE cost function that PSE approximation.

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Acknowledgements

The paper was sponsored by AGH University grant no 11.11.120.815.

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Authors and Affiliations

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

    Krzysztof Oprzedkiewicz

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  1. Krzysztof Oprzedkiewicz
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Correspondence to Krzysztof Oprzedkiewicz .

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Editors and Affiliations

  1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Piotr Ostalczyk

  2. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Dominik Sankowski

  3. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Jacek Nowakowski

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Oprzedkiewicz, K. (2019). Memory-Effective Modifications of PSE Approximation. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_11

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  • DOI: https://doi.org/10.1007/978-3-319-78458-8_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78457-1

  • Online ISBN: 978-3-319-78458-8

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