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Minimum Energy Control of Linear Fractional Systems

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Book cover Theoretical Developments and Applications of Non-Integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 357))

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Abstract

The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

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Acknowledgment

This paper was supported by National Research Center under decision DEC-2012/07/B/ST7/01404.

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Authors and Affiliations

  1. Department of Control Engineering, Silesian University of Technology, Gliwice, Poland

    Jerzy Klamka

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  1. Jerzy Klamka
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Correspondence to Jerzy Klamka .

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Editors and Affiliations

  1. Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland

    Stefan Domek

  2. Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland

    Paweł Dworak

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Klamka, J. (2016). Minimum Energy Control of Linear Fractional Systems. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_16

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  • DOI: https://doi.org/10.1007/978-3-319-23039-9_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23038-2

  • Online ISBN: 978-3-319-23039-9

  • eBook Packages: EngineeringEngineering (R0)

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