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2024 | OriginalPaper | Buchkapitel

Modelling of Fractional-Order System in Complex Domain Using Direct Approach: A Comparative Study

verfasst von : Wandarisa Sungoh, Jaydeep Swarnakar

Erschienen in: Evolution in Signal Processing and Telecommunication Networks

Verlag: Springer Nature Singapore

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Abstract

In this paper, a class of fractional-order system (FOS) has been modelled in complex \(z\)-domain through direct discretization of the fractional-order (FO) operator. Two generating functions, namely Visweswaran–Varshney–Gupta–Schneider (VVGS) transform and reduced Ngo transform, have been employed to obtain the approximate discrete-time models of the FO operator via continued fraction expansion (CFE) method. The stability analysis is performed through determining the pole locations of the discretized fractional-order systems. Finally, the two transforms have been compared based on the simulation outcomes obtained from the frequency responses of the approximated fractional-order systems.

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Metadaten
Titel
Modelling of Fractional-Order System in Complex Domain Using Direct Approach: A Comparative Study
verfasst von
Wandarisa Sungoh
Jaydeep Swarnakar
Copyright-Jahr
2024
Verlag
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-97-0644-0_4

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