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A gallery of root locus of fractional systems

dc.contributor.authorTenreiro Machado, J. A.
dc.date.accessioned2019-04-12T14:33:05Z
dc.date.embargo2113
dc.date.issued2013-08
dc.description.abstractThe root locus (RL) is a classical tool for the stability analysis of integer order linear systems, but its application in the fractional counterpart poses some difficulties. Therefore, researchers have mainly preferred to adopt frequency based methods. Nevertheless, recently the RL was considered for the stability analysis of fractional systems. One first method is by tacking advantage of commensurable expressions that occur when truncating fractional orders up to a finite precision. The second method consists of searching the complex plane for solutions of the characteristic equation using a numerical procedure. The resulting charts are insightful about the characteristics of the closed-loop system that outperform the frequency response methods. Given the limited know how in this particular topic and the shortage of literature, this study explores several types of fractional-order transfer functions and presents the corresponding RL.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1115/DETC2013-12470pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/13558
dc.language.isoengpt_PT
dc.publisherAmerican Society of Mechanical Engineerspt_PT
dc.relation.publisherversionhttp://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1830467pt_PT
dc.subjectStabilitypt_PT
dc.subjectTransfer functionspt_PT
dc.subjectClosed loop systemspt_PT
dc.subjectFrequency responsept_PT
dc.subjectLinear systemspt_PT
dc.titleA gallery of root locus of fractional systemspt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.citation.conferencePlacePortland, Oregonpt_PT
oaire.citation.endPage6pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleASME 2013 - International Design Engineering Technical Conferences & Computers and Information in ENgineering Conferencept_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsclosedAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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