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Modeling and Identification of Fractional-Order Discrete-Time Laguerre-Based Feedback-Nonlinear Systems

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Advances in Modelling and Control of Non-integer-Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 320))

Abstract

This paper presents a new implementable strategy for modeling and identification of a fractional-order discrete-time block-oriented feedback-nonlinear system. Two different concepts of orthonormal basis functions (OBF) are used to model a linear dynamic part, namely ”regular” OBF and inverse IOBF. It is shown that the IOBF concept enables to separate linear and nonlinear submodels, which leads to a linear regression formulation of the parameter estimation problem, with the detrimental bilinearity effect totally eliminated. Finally, Laguerre filters are uniquely embedded in modeling of the fractional-order dynamics. Unlike for regular OBF, simulation experiments show a very good identification performance for an IOBF-structured, fractional-order Laguerre-based feedback-nonlinear model, both in terms of low prediction errors and accurate reconstruction of the actual system characteristics.

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Authors and Affiliations

  1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, ul. Sosnkowskiego 31, 45-272, Opole, Poland

    Rafał Stanisławski, Krzysztof J. Latawiec, Marcin Gałek & Marian Łukaniszyn

Authors
  1. Rafał Stanisławski
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  2. Krzysztof J. Latawiec
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  3. Marcin Gałek
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  4. Marian Łukaniszyn
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Corresponding author

Correspondence to Rafał Stanisławski .

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Editors and Affiliations

  1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Krzysztof J. Latawiec

  2. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Marian Łukaniszyn

  3. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Rafał Stanisławski

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Stanisławski, R., Latawiec, K.J., Gałek, M., Łukaniszyn, M. (2015). Modeling and Identification of Fractional-Order Discrete-Time Laguerre-Based Feedback-Nonlinear Systems. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_10

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  • DOI: https://doi.org/10.1007/978-3-319-09900-2_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09899-9

  • Online ISBN: 978-3-319-09900-2

  • eBook Packages: EngineeringEngineering (R0)

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