Title: Comparison of identification techniques of fractional differential equations

Authors: Abir Khadhraoui; Khaled Jelassi

Addresses: Electrical System Laboratory, P.O. Box 37, 1002 Le Belvédère Tunis, Tunisia ' Electrical System Laboratory, P.O. Box 37, 1002 Le Belvédère Tunis, Tunisia

Abstract: The purpose of this paper is to present the results of a comparative study of two different least squares (LS) approach for identification of fractional order systems. The first one is based on repeated fractional integration and modal approach and the second one is based on Grünwald approximation. Both methods are explained in detail and identification algorithms are elaborate. Obtained results are used to initialise output error (OE) technique. Illustrative examples are presented to show the practically usefulness of the two proposed approach. Comparative remarks between the two methods are also given.

Keywords: fractional order systems; simulation; identification; least squares; Gruenwald approximation; fractional integrator; initialisation problem; output error; repeated fractional integration; fractional differential equations.

DOI: 10.1504/IJAAC.2017.083295

International Journal of Automation and Control, 2017 Vol.11 No.2, pp.124 - 142

Received: 26 Jul 2015
Accepted: 22 Feb 2016
Published online: 23 Mar 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article