Influence of the selection of reaction curve's representative points on the accuracy of the identified fractional-order model

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dc.contributor.authorGude, Juan José
dc.contributor.authorGarcía Bringas, Pablo
dc.date.accessioned2024-11-15T10:09:27Z
dc.date.available2024-11-15T10:09:27Z
dc.date.issued2022
dc.date.updated2024-11-15T10:09:26Z
dc.description.abstractIn this paper, a general procedure for identifying a fractional first-order plus dead-time (FFOPDT) model is presented. This procedure is based on fitting three arbitrary points on the process reaction curve, where process information is obtained from a simple open-loop test. A simplification of the general identification procedure is also considered, where only points symmetrically located on the reaction curve are selected. The proposed symmetrical procedure has been applied to the following sets of representative points: (5-50-95%), (10-50-90%), (15-50-85%), (20-50-80%), (25-50-75%), and (30-50-70%). Analytical expressions of the corresponding FFOPDT model parameters for these sets of symmetrical points have been obtained. In order to show the effectiveness and applicability of this procedure for the identification of fractional-order models and to get insight into the influence of selection of the set of symmetrical points on the accuracy of the identified model, some numerical examples are proposed. This identification procedure gives good results in comparison with other integer-and fractional-order identification methods. Finally, some conclusions and final remarks are offered in this context.en
dc.description.sponsorshipThe authors would like to thank the Basque Government for its partial funding support through the TRUSTIND ELKARTEK R&D project (ref. KK-2020/00054)en
dc.identifier.citationGude, J. J., & García Bringas, P. (2022). Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model. Journal of Mathematics, 2022. https://doi.org/10.1155/2022/7185131
dc.identifier.doi10.1155/2022/7185131
dc.identifier.eissn2314-4785
dc.identifier.issn2314-4629
dc.identifier.urihttp://hdl.handle.net/20.500.14454/1895
dc.language.isoeng
dc.publisherHindawi Limited
dc.rights© 2022 Juan J. Gude and Pablo García Bringas
dc.titleInfluence of the selection of reaction curve's representative points on the accuracy of the identified fractional-order modelen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.titleJournal of Mathematics
oaire.citation.volume2022
oaire.licenseConditionhttps://creativecommons.org/licenses/by/4.0/
oaire.versionVoR
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