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Root-locus practical sketching rules for fractional-order system

dc.contributor.authorLopes, António M.
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2014-01-23T14:45:40Z
dc.date.available2014-01-23T14:45:40Z
dc.date.issued2013
dc.description.abstractFor integer-order systems, there are well-known practical rules for RL sketching. Nevertheless, these rules cannot be directly applied to fractional-order (FO) systems. Besides, the existing literature on this topic is scarce and exclusively focused on commensurate systems, usually expressed as the ratio of two noninteger polynomials. The practical rules derived for those do not apply to other symbolic expressions, namely, to transfer functions expressed as the ratio of FO zeros and poles. However, this is an important case as it is an extension of the classical integer-order problem usually addressed by control engineers. Extending the RL practical sketching rules to such FO systems will contribute to decrease the lack of intuition about the corresponding system dynamics. This paper generalises several RL practical sketching rules to transfer functions specified as the ratio of FO zeros and poles. The subject is presented in a didactic perspective, being the rules applied to several examples.por
dc.identifier.doi10.1155/2013/102068pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/3450
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherHindawi Publishing Corporationpor
dc.relation.ispartofseriesAbstract and Applied Analysis; Vol. 2013
dc.relation.publisherversionhttp://www.hindawi.com/journals/aaa/2013/102068/por
dc.titleRoot-locus practical sketching rules for fractional-order systempor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage14por
oaire.citation.startPage1por
oaire.citation.titleAbstract and Applied Analysispor
oaire.citation.volumeVol. 2013por
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.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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