Long-memory recursive prediction error method for identification of continuous-time fractional models
| dc.rights.license | open | en_US |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | VICTOR, Stéphane
ORCID: 0000-0002-0575-0383 IDREF: 148688942 | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | DUHE, Jean Francois | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | MELCHIOR, Pierre | |
| hal.structure.identifier | Centre de recherche Cardio-Thoracique de Bordeaux [Bordeaux] [CRCTB] | |
| dc.contributor.author | ABDELMOUNEN, Youssef | |
| hal.structure.identifier | Centre de recherche Cardio-Thoracique de Bordeaux [Bordeaux] [CRCTB] | |
| dc.contributor.author | ROUBERTIE, François | |
| dc.date.accessioned | 2022-11-22T13:52:07Z | |
| dc.date.available | 2022-11-22T13:52:07Z | |
| dc.date.issued | 2022-06-25 | |
| dc.identifier.issn | 0924-090X | en_US |
| dc.identifier.uri | oai:crossref.org:10.1007/s11071-022-07628-8 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/170342 | |
| dc.description.abstractEn | This paper deals with recursive continuous-time system identification using fractional-order models. Long-memory recursive prediction error method is proposed for recursive estimation of all parameters of fractional-order models. When differentiation orders are assumed known, least squares and prediction error methods, being direct extensions to fractional-order models of the classic methods used for integer-order models, are compared to our new method, the long-memory recursive prediction error method. Given the long-memory property of fractional models, Monte Carlo simulations prove the efficiency of our proposed algorithm. Then, when the differentiation orders are unknown, two-stage algorithms are necessary for both parameter and differentiation-order estimation. The performances of the new proposed recursive algorithm are studied through Monte Carlo simulations. Finally, the proposed algorithm is validated on a biological example where heat transfers in lungs are modeled by using thermal two-port network formalism with fractional models. | |
| dc.language.iso | EN | en_US |
| dc.rights | Attribution 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
| dc.source | crossref | |
| dc.subject | Continuous-time models | |
| dc.subject | Fractional calculus | |
| dc.subject | Fractional-order model | |
| dc.subject | System identification | |
| dc.subject | Recursive identification | |
| dc.subject | Real-time system identification | |
| dc.subject | Prediction error method | |
| dc.subject | Least squares | |
| dc.subject | Long-memory prediction error method | |
| dc.title.en | Long-memory recursive prediction error method for identification of continuous-time fractional models | |
| dc.type | Article de revue | en_US |
| dc.identifier.doi | 10.1007/s11071-022-07628-8 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics] | en_US |
| bordeaux.journal | Nonlinear Dynamics | en_US |
| bordeaux.page | 635-648 | en_US |
| bordeaux.volume | 110 | en_US |
| bordeaux.hal.laboratories | Laboratoire d’Intégration du Matériau au Système (IMS) - UMR 5218 | en_US |
| bordeaux.issue | 1 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.institution | INSERM | |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | dissemin | |
| hal.identifier | hal-03865862 | |
| hal.version | 1 | |
| hal.date.transferred | 2022-11-22T13:52:11Z | |
| hal.export | true | |
| workflow.import.source | dissemin | |
| dc.rights.cc | Pas de Licence CC | en_US |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Dynamics&rft.date=2022-06-25&rft.volume=110&rft.issue=1&rft.spage=635-648&rft.epage=635-648&rft.eissn=0924-090X&rft.issn=0924-090X&rft.au=VICTOR,%20St%C3%A9phane&DUHE,%20Jean%20Francois&MELCHIOR,%20Pierre&ABDELMOUNEN,%20Youssef&ROUBERTIE,%20Fran%C3%A7ois&rft.genre=article |
