Indirect Methods for Discretizing Fractional Order Differentiator in Delta Domain—A Comparative Study

Authors

  • Jaydeep Swarnakar Department of Electronics & Communication Engineering, North Eastern Hill University, India
  • Prasanta Sarkar Department of Electrical Engineering, National Institute of Technical Teachers’ Training and Research, Kolkata, India
  • Lairenlakpam Joyprakash Singh Department of Electrical Engineering, National Institute of Technical Teachers’ Training and Research, Kolkata, India

DOI:

https://doi.org/10.37591/joci.v8i2.1836

Abstract

In this paper, three indirect methods are presented for discretizing fractional order differentiator  in delta domain. To this aim, three extensively used discrete time approximation methods of -domains are reformulated in delta domain. As a first step of applying the indirect discretization method, rational approximation of a half order differentiator is obtained using the Oustaloup approximation method. Then, all of the proposed discretization methods are applied separately on the integer order approximant of . The resulting frequency responses of the discretized systems are compared for simulation studies using MATLAB software.

Keywords: Fractional Differentiator, Rational Approximation, Euler Transform, Tustin Transform, Al-Alaoui Transform, -operator

Cite this Article

Jaydeep Swarnakar, Prasanta Sarkar,Lairenlakpam Joyprakash Singh. Indirect Methods for Discretizing Fractional Order Differentiator in Delta Domain—A Comparative Study. Journal of Control & Instrumentation. 2017; 8(2): 27–34p.

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Published

2019-04-01

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Vol. 8 No. 2 (2017)

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Articles

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