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2025 | OriginalPaper | Buchkapitel

Direct Approach for Modelling a Class of Fractional-Order System Using Two Generating Functions

verfasst von : Wandarisa Sungoh, Jaydeep Swarnakar

Erschienen in: Advances in Communication, Devices and Networking

Verlag: Springer Nature Singapore

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Abstract

In this paper, two second-order generating functions have been suggested to model a class of fractional-order system (FOS) in z domain using direct discretization method. The generating functions named as Goswami et al. operator (Method-I) and Mekhnache et al. operator (Method-II) are employed to obtain the approximated models of fractional-order differentiator (FOD) of one-fourth order and one-fifth order via continued fraction expansion (CFE). Further, these two methods have been used to model another two FOSs taken from the literature. Frequency responses of the approximated models show that Method-I has produced less root mean square error (RMSE) than Method-II and hence appears to be more effective to approximate the FOS.

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Titel: Direct Approach for Modelling a Class of Fractional-Order System Using Two Generating Functions
verfasst von: Wandarisa Sungoh
Jaydeep Swarnakar
Verlag: Springer Nature Singapore
Buch: Advances in Communication, Devices and Networking
Print ISBN: 978-981-9764-64-8

Electronic ISBN: 978-981-9764-65-5

Copyright-Jahr: 2025
DOI: https://doi.org/10.1007/978-981-97-6465-5_7

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