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Parametric Optimization of Non-Integer Order PD\(^\mu \) Controller for Delayed System

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Theoretical Developments and Applications of Non-Integer Order Systems

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

Abstract

In this paper, we analysed a new tuning method for \({ {PD}}^{\alpha }\) controller using approximation with Laguerre functions. The optimization was performed for various sets of parameters. We also analysed the convergence of chosen optimization parameters. The results were tested for a first-order system with delay.

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Acknowledgments

Work realised in the scope of project titled “Design and application of non-integer order subsystems in control systems”. Project was financed by National Science Centre on the base of decision No. DEC-2013/09/D/ST7/03960.

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Authors and Affiliations

  1. Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Cracow, Poland

    Marta Zagórowska

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  1. Marta Zagórowska
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Correspondence to Marta Zagórowska .

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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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Zagórowska, M. (2016). Parametric Optimization of Non-Integer Order PD\(^\mu \) Controller for Delayed System. 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_22

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  • DOI: https://doi.org/10.1007/978-3-319-23039-9_22

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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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