Experiment design for elementary fractional models
| dc.rights.license | open | en_US |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | MALTI, Rachid
IDREF: 137761856 | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | MAYOUFI, Abir | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | VICTOR, Stéphane
ORCID: 0000-0002-0575-0383 IDREF: 148688942 | |
| dc.date.accessioned | 2022-07-13T12:57:30Z | |
| dc.date.available | 2022-07-13T12:57:30Z | |
| dc.date.issued | 2022-07 | |
| dc.identifier.issn | 1007-5704 | en_US |
| dc.identifier.uri | oai:crossref.org:10.1016/j.cnsns.2022.106337 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/140483 | |
| dc.description.abstractEn | Experiment design is an important topic in system identification. It enables choosing the best input signal that allows computing parameters with minimum variance. Experiment design for system identification with fractional models is treated in this paper. Elementary fractional models of the second kind are considered, extending the previous results regarding models of the first kind. It allows choosing the best frequency(ies) of a sine input signal by minimizing the D-optimality criterion of the covariance-matrix. The case of a single unknown parameter is treated which can be either of the following: gain, pseudo-damping factor, natural frequency, or even the differentiation order. Then, all the combinations of two unknown parameters are considered. Finally, three and four unknown parameters are considered and the covariance matrix computed. It is shown that its optimum is difficult to obtain analytically in the general case. The particular case of second order (rational) systems, when the commensurate differentiation order equals one, is pointed out, as a special case in this study. | |
| dc.language.iso | EN | en_US |
| dc.source | crossref | |
| dc.subject.en | Experiment planning | |
| dc.subject.en | Fractional system | |
| dc.subject.en | System identification | |
| dc.subject.en | D-optimality | |
| dc.subject.en | Fisher Information Matrix | |
| dc.title.en | Experiment design for elementary fractional models | |
| dc.type | Article de revue | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2022.106337 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | en_US |
| bordeaux.journal | Communications in Nonlinear Science and Numerical Simulation | en_US |
| bordeaux.page | 106337 | en_US |
| bordeaux.volume | 110 | en_US |
| bordeaux.hal.laboratories | Laboratoire d’Intégration du Matériau au Système (IMS) - UMR 5218 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | dissemin | |
| hal.identifier | hal-03722667 | |
| hal.version | 1 | |
| hal.date.transferred | 2022-07-13T12:57:32Z | |
| 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=Communications%20in%20Nonlinear%20Science%20and%20Numerical%20Simulation&rft.date=2022-07&rft.volume=110&rft.spage=106337&rft.epage=106337&rft.eissn=1007-5704&rft.issn=1007-5704&rft.au=MALTI,%20Rachid&MAYOUFI,%20Abir&VICTOR,%20St%C3%A9phane&rft.genre=article |
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