Two direct Tustin discretization methods for fractional-order differentiator/integrator.
type: Item
instance of: scholarly article
title: Two direct Tustin discretization methods for fractional-order differentiator/integrator.
zbMATH Open document ID: 1051.93031
author: Yangquan Chen
author: Ivo Petras
author: Blas M. Vinagre
published in: Journal of the Franklin Institute
publication date: 2004-02-02T00:00:00Z
review text: The aim of this paper is to obtain discrete equivalents to the fractional integrodifferential operators in the Laplace domains \(s^{\pm r}\) with \((0< r< 1)\). Two direct discretization methods based on the Tustin transformation are presented. For the first method a recursion scheme is derived. In the second method, continued fraction expansion is used. The methods are illustrated and compared by an application example. A fractional order controller with \(D(s)= s^{0.5}\) is used for a double integrator plant. Robustness properties of the closed-loop systems with unity negative feedback are illustrated.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 2035836
zbMATH Keywords: Fractional differentiator
zbMATH Keywords: Fractional-order controllers
zbMATH Keywords: Tustin operator
zbMATH Keywords: Power series expansion
zbMATH Keywords: Continued fraction expansion
zbMATH Keywords: Discretization
Wikidata QID: Q58423062
MaRDI profile type: Publication
full work available at URL: j.jfranklin.2003.08.001
OpenAlex ID: W2139336218
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DOI: 10.1016/J.JFRANKLIN.2003.08.001
DBLP publication ID: journals/jfi/VinagreCP03
description: scientific article; zbMATH DE number 2035836