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Switched Fractional State-Space Predictive Control Methods for Non-Linear Fractional Systems

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Advances in Non-Integer Order Calculus and Its Applications (RRNR 2018)

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Abstract

In the paper two approaches for a switched fractional-order State-space Model Predictive Control (FOSMPC) for non-linear fractional systems are proposed. In the first one the model is successively linearized on-line and used for prediction, in the second one a linear approximation along the future process trajectory is also used. In both cases, as a result of linearization, the future control policy is calculated by means of quadratic optimization. The discussed FOSMPC algorithms are able to compensate for deterministic constant-type external and internal disturbances. In order to illustrate implementation steps of both control methods, precise algorithms of calculations to be carried out on-line at each sampling instant are given.

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Authors and Affiliations

  1. Department of Control Engineering and Robotics, West Pomeranian University of Technology at Szczecin, ul. Sikorskiego 37, 70-313, Szczecin, Poland

    Stefan Domek

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  1. Stefan Domek
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Correspondence to Stefan Domek .

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Editors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Agnieszka B. Malinowska

  2. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Dorota Mozyrska

  3. Faculty of Electrical Engineering, Bialystok University of Technology, Białystok, Poland

    Łukasz Sajewski

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Domek, S. (2020). Switched Fractional State-Space Predictive Control Methods for Non-Linear Fractional Systems. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_9

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