@inproceedings{b462def795c24817a7df2708dfdc882f,
title = "Discretization of fractional-order differentiators and integrators",
abstract = "This paper introduces a closed form discretization method of fractional-order differentiators or integrators. Unlike the continued fraction expansion technique, or the infinite impulse response of second-order IIR-type filters, the proposed technique generalizes the Tustin operator to derive a stable and minimum 1st and 2nd-order discrete-time operators (DTO) that discretize continuous fractional-order differintegral operators. Such DTOs exploits the phase properties of the DTOs over a wide range of the frequency spectrum, which depend only on the order of the continuous operators. Moreover, the closed-form DTOs enable one to identify the stability regions of fractional-order discrete-time systems. The effectiveness of this work is demonstrated via several numerical examples.",
keywords = "Differentiation, Differintegrator, Discretization, Fractional calculus, Integration, Laplacian operator",
author = "Reyad El-Khazali",
note = "Publisher Copyright: {\textcopyright} IFAC.; 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",
year = "2014",
doi = "10.3182/20140824-6-za-1003.01318",
language = "British English",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
pages = "2016--2021",
editor = "Edward Boje and Xiaohua Xia",
booktitle = "19th IFAC World Congress IFAC 2014, Proceedings",
}