@inproceedings{682bad612e984b5fa376233974e1839e,
title = "On the Discretization of Fractional-Order Laplacian Operators",
abstract = "This work introduces two new discrete-time generating functions to discretize the fractional-order Laplacian integro-differential operators denoted by s ±α. The indirect discretization method is used for this purpose. The order of such functions is first or second-order ones, where both are stable and of nonminimum phase. Furthermore, as α1, both functions reduce to the well-known bilinear transformation. It will be shown via numerical example that the proposed functions are robust to the sampling rate, which becomes a test point for any new discrete-time generating function to be used for fractional-order system analysis and control. The stability property of the new functions makes them perfect candidates that can be used to fabricate practical fractional-order PID controllers. The main points of this work are verified via numerical simulations.",
keywords = "Direct discretization, El-Khazali operators, fractional calculus Introduction, indirect discretization, Tustin approach",
author = "Reyad El-Khazali and Nabil Tawalbeh and Ali Al-Hayajneh",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 IEEE 66th International Midwest Symposium on Circuits and Systems, MWSCAS 2023 ; Conference date: 06-08-2023 Through 09-08-2023",
year = "2023",
doi = "10.1109/MWSCAS57524.2023.10406129",
language = "British English",
series = "Midwest Symposium on Circuits and Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1113--1117",
booktitle = "2023 IEEE 66th International Midwest Symposium on Circuits and Systems, MWSCAS 2023",
address = "United States",
}