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Stability Properties of Discrete Time-Domain Oustaloup Approximation

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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

The paper presents an analysis of discrete time domain realization of Oustaloup approximation. The scheme for realization is presented along with method of implementation of discretization formulas. Discussion for need for such realization is also presented. Finally the stability analysis is given, considering influences of sampling frequency, order and bandwidth. Analysis is illustrated with behavior of spectral radius of the discretized system.

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

    Jerzy Baranowski, Waldemar Bauer & Marta Zagórowska

Authors
  1. Jerzy Baranowski
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  2. Waldemar Bauer
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  3. Marta Zagórowska
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Corresponding author

Correspondence to Waldemar Bauer .

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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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Baranowski, J., Bauer, W., Zagórowska, M. (2016). Stability Properties of Discrete Time-Domain Oustaloup Approximation. 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_8

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  • DOI: https://doi.org/10.1007/978-3-319-23039-9_8

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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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