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Rational Approximation Methods for a Class of Fractional-Order SISO System in Delta Domain

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Advances in Communication, Devices and Networking

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 537))

Abstract

Rational approximation is fundamental for practical implementation of infinite dimensional fractional-order system in the area of system and control. In this paper, a class of fractional-order single-input-single-output (SISO) system has been realized in delta-domain using two rational approximation techniques, namely continued fraction expansion (CFE) approximation and Oustaloup approximation, respectively. Both the techniques use indirect discretization method for obtaining the integer-order approximants of the ideal fractional-order SISO system in delta-domain. The frequency responses of two discretized integer-order approximants of the original fractional-order system are compared subsequently using MATLAB.

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Author information

Authors and Affiliations

  1. Department of Electronics & Communication Engineering, School of Technology, North-Eastern Hill University, Shillong, 793022, Meghalaya, India

    Jaydeep Swarnakar & Lairenlakpam Joyprakash Singh

  2. Department of Electrical Engineering, National Institute of Technical Teachers’ Training and Research, Kolkata, 700106, West Bengal, India

    Prasanta Sarkar

Authors
  1. Jaydeep Swarnakar
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  2. Prasanta Sarkar
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  3. Lairenlakpam Joyprakash Singh
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Corresponding author

Correspondence to Jaydeep Swarnakar .

Editor information

Editors and Affiliations

  1. Department of Electronic and Communication Engineering, Sikkim Manipal Institute of Technology, Rangpo, Sikkim, India

    Rabindranath Bera

  2. Department of Electrical and Telecommunication Engineering, Jadavpur University, Kolkata, West Bengal, India

    Subir Kumar Sarkar

  3. Department of Electronic and Communication Engineering, Sikkim Manipal University, Gangtok, Sikkim, India

    Om Prakash Singh

  4. Department of Electronic and Communication Engineering, Sikkim Manipal University, Gangtok, Sikkim, India

    Hemanta Saikia

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© 2019 Springer Nature Singapore Pte Ltd.

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Swarnakar, J., Sarkar, P., Singh, L.J. (2019). Rational Approximation Methods for a Class of Fractional-Order SISO System in Delta Domain. In: Bera, R., Sarkar, S., Singh, O., Saikia, H. (eds) Advances in Communication, Devices and Networking. Lecture Notes in Electrical Engineering, vol 537. Springer, Singapore. https://doi.org/10.1007/978-981-13-3450-4_43

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  • DOI: https://doi.org/10.1007/978-981-13-3450-4_43

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3449-8

  • Online ISBN: 978-981-13-3450-4

  • eBook Packages: EngineeringEngineering (R0)

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