Initialization of Identification of Fractional Model by Output-Error Technique-Reference-Cited by-同舟云学术

Initialization of Identification of Fractional Model by Output-Error Technique

Published:2015-08-26 Issue:2 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Khadhraoui Abir¹,Jelassi Khaled¹,Trigeassou Jean-Claude²,Melchior Pierre²

Affiliation:

1. Laboratoire des systèmes Electriques (LSE), Ecole Nationale d'Ingenieurs de Tunis, Tunis, Tunisia e-mail:

2. Laboratoire Intégration du Matériau au Système (IMS-APS), Université Bordeaux 1, Bordeaux 33000, France e-mail:

Abstract

A bad initialization of output-error (OE) technique can lead to an inappropriate identification results. In this paper, we introduce a solution to this problem; the basic idea is to estimate the parameters and the fractional order of the noninteger system by a new approach of least-squares (LS) method based on repeated fractional integration to initialize OE technique. It will be shown that LS method offers a good initialization to OE algorithm and leads to acceptable identification results. The performance of the proposed method is shown through numerical simulation examples.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4030541/6107291/cnd_011_02_020801.pdf

Reference35 articles.

1. Some Questions About Geometry and Mechanics and a New Genre of Computing to Solve These Equations (Mémoire sur Quelques Questions de Géométrie et de Mécanique et sur un Nouveau Genre de Calcul Pour Résoudre ces Equations);J. Ec. Polytech.,1932

2. Testing of a General Conception of Integration and Derivation (Essai d'une Conception Générale de L'intégration et de la Dérivation);Works Math. Res.,1876

3. Diffusive Transport to Planar, Cylindrical and Spherical Electrodes;Electroanal. Chem. Interfacial Electrochem,1973

4. Fractional System Identification for Lead Acid Battery Sate Charge Estimation;Signal Process.,2006

5. Solving an Inverse Heat Conduction Problem Using a Non-Integer Identified Model;Int. J. Heat Mass Transfer,2001

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Infinite State Representation of Fractional Order Differential Systems: A Survey - Part 2;IFAC-PapersOnLine;2024

2. References;Analysis, Modeling and Stability of Fractional Order Differential Systems 2;2019-12-17

3. References;Analysis, Modeling and Stability of Fractional Order Differential Systems 1;2019-08-05

4. Simulation studies on static thermal behaviour of true elliptical and orthogonally displaced non-circular journal bearing;Industrial Lubrication and Tribology;2016-04-11