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Circuits, Systems, and Signal Processing
Published in:

16-06-2024

A Novel Indirect Approach for Modelling a Class of Fractional-Order System in Complex Domain

Authors: Wandarisa Sungoh, Jaydeep Swarnakar

Published in: Circuits, Systems, and Signal Processing | Issue 10/2024

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Abstract

In this paper, a method is presented to obtain the discrete model of the fractional-order system (FOS) in complex \(z\)-domain. An indirect modelling approach has been implemented for the proposed work. Initially, a stable first-order discrete-time operator is formulated by interpolating Tustin and reduced Tick integrators. Later, the fractional-order differentiator has been modelled in two stages. The first stage employs Oustaloup method to obtain the approximate model of the fractional-order differentiator (FOD) in \(s\)-domain. The second stage uses the newly formulated operator to discretize the \(s\)-domain model for attaining stable discrete rational model of the FOD in \(z\)-domain. The efficacy of the proposed method over some of the prevailing methods has been presented with appropriate simulation outcomes.
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Metadata
Title
A Novel Indirect Approach for Modelling a Class of Fractional-Order System in Complex Domain
Authors
Wandarisa Sungoh
Jaydeep Swarnakar
Publication date
16-06-2024
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 10/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02737-8

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