A Novel Indirect Approach for Modelling a Class of Fractional-Order System in Complex Domain
Pages 6155 - 6186
Abstract
In this paper, a method is presented to obtain the discrete model of the fractional-order system (FOS) in complex -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 -domain. The second stage uses the newly formulated operator to discretize the -domain model for attaining stable discrete rational model of the FOD in -domain. The efficacy of the proposed method over some of the prevailing methods has been presented with appropriate simulation outcomes.
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Publication History
Published: 16 June 2024
Accepted: 21 May 2024
Revision received: 20 May 2024
Received: 04 August 2023
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