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Switched Models of Non-integer Order

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Automatic Control, Robotics, and Information Processing

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 296))

Abstract

In this paper, methods for modeling complex, non-linear dynamic systems of non-integer order, using so-called switched models that are based on the dynamic change of local linear models, depending on the value of an appropriately chosen switching function are discussed. Such a multimodel approach enables a relatively simple description of properties of many complex physical and abstract processes encountered in technology, especially in automation and robotics, but also in nature, biology, medicine and, for example, in economics. Although the theory of switched systems has been developing intensively for over a dozen or so years, many issues and problems have not yet been solved. This is particularly true for systems of a non-integer order. In the paper, basic definitions of fractional switched models, their principal properties and examples of applications in control are presented.

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  1. Department of Control Engineering and Robotics, West Pomeranian University of Technology Szczecin, Al. Piastów 17, 70-310, Szczecin, Poland

    Stefan Domek

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  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Piotr Kulczycki

  2. Institute of Control and Computation Engineering, University of Zielona Góra, Zielona Góra, Poland

    Józef Korbicz

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Domek, S. (2021). Switched Models of Non-integer Order. In: Kulczycki, P., Korbicz, J., Kacprzyk, J. (eds) Automatic Control, Robotics, and Information Processing. Studies in Systems, Decision and Control, vol 296. Springer, Cham. https://doi.org/10.1007/978-3-030-48587-0_6

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