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Implementation of discrete-time fractional-order controllers based on LS Approximations

dc.contributor.authorBarbosa, Ramiro
dc.contributor.authorTenreiro Machado, J. A.
dc.date.accessioned2019-04-08T15:29:34Z
dc.date.available2019-04-08T15:29:34Z
dc.date.issued2006
dc.description.abstractIn this paper we develop rational discrete-time approximations (IIR filters) to continuous fractional-order integrators and differentiators of type sα, α ∈ ℜ. For that, it is proposed the adoption of the techniques of Padé, Prony and Shanks usually applied in the signal modelling of deterministic signals. These methods yield suboptimal solutions to the problem which only requires finding the solution of a set of linear equations. The results reveal that this approach gives similar or superior approximations in comparison with other widely used methods. Their effectiveness is illustrated, both in the time and frequency domains, through several examples.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.20965/JACIII.2001.p0279pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/13471
dc.language.isoengpt_PT
dc.subjectFilter designpt_PT
dc.subjectDiscretizationpt_PT
dc.subjectIIR filterspt_PT
dc.subjectRational approximationspt_PT
dc.subjectDigital differentiatorspt_PT
dc.subjectDigital integratorspt_PT
dc.subjectLeast-squarespt_PT
dc.titleImplementation of discrete-time fractional-order controllers based on LS Approximationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage22pt_PT
oaire.citation.startPage5pt_PT
oaire.citation.titleActa Polytechnica Hungaricapt_PT
oaire.citation.volume3pt_PT
person.familyNameBarbosa
person.familyNameTenreiro Machado
person.givenNameRamiro
person.givenNameJ. A.
person.identifier156328
person.identifier.ciencia-id9F1E-CA64-4C8B
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0001-7410-8872
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id8582675300
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationae867f98-4683-47cf-910d-16d5cd4517ba
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscoveryae867f98-4683-47cf-910d-16d5cd4517ba

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