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On the μ-analysis and synthesis for uncertain time-delay systems with Padé approximations

2024-03Journal article Open access
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dc.contributor.authorPinheiro, Rafael Fernades
dc.contributor.authorColón, Diego
dc.date.accessioned2024-08-29T16:08:21Z
dc.date.available2024-08-29T16:08:21Z
dc.date.issued2024-03
dc.descriptionThis work was funded by Portuguese national funds, Portugal provided by Fundação para a Ciência e Tecnologia (FCT-UIDB/05704/2020) and in the scope of the research project 2 ARTs - Acessing Autonomic Control in Cardiac Rehabilitation (PTDC/EMD-EMD/6588/2020) co-financed by the Portuguese Foundation for Science and Technology (FCT), Portugal.pt_PT
dc.description.abstractReal problems in control engineering usually involve many uncertainties and delays. In the search for solutions which deal more adequately with these problems, this paper presents contributions to the theory of the -analysis and synthesis applied to uncertain linear fixed time time-delay systems by using Padé approximations. A new necessary and sufficient condition for robust stability for a class of uncertain time-delay systems is presented. From this condition, a novel robust controller synthesis technique is obtained. Furthermore, contributions are presented on the convergence theory of Padé approximations applied to the -theory via parametrized optimization technique. In order to better understand the theory presented and verify the effectiveness of the results, examples and comparisons are proposed. Finally, in the conclusions, new lines of research and application are pointed out.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationPinheiro, R. & Colón, D. (2024). On the μ-analysis and synthesis for uncertain time-delay systems with Padé approximations. Journal of the Franklin Institute, 361(4): 106643. https://doi.org/10.1016/j.jfranklin.2024.01.044.pt_PT
dc.identifier.doihttps://doi.org/10.1016/j.jfranklin.2024.01.044pt_PT
dc.identifier.eissn1879-2693
dc.identifier.issn0016-0032
dc.identifier.urihttp://hdl.handle.net/10400.8/9953
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCenter for Innovative Care and Health Technology
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0016003224000541pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectRobust controlpt_PT
dc.subjectStructured singular valuept_PT
dc.subjectμ-analysis and synthesispt_PT
dc.subjectTime-delay systemspt_PT
dc.subjectUncertain TDSpt_PT
dc.titleOn the μ-analysis and synthesis for uncertain time-delay systems with Padé approximationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Innovative Care and Health Technology
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F05704%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FEMD-EMD%2F6588%2F2020/PT
oaire.citation.issue4pt_PT
oaire.citation.startPage106643pt_PT
oaire.citation.titleJournal of the Franklin Institutept_PT
oaire.citation.volume361pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream3599-PPCDT
person.familyNamePinheiro
person.givenNameRafael
person.identifier.ciencia-id8513-F117-D554
person.identifier.orcid0000-0002-2369-9016
person.identifier.scopus-author-id57204116615
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscovery06761113-497b-4db8-9d9e-2577c048fadb
relation.isProjectOfPublicationd421b07d-3471-4026-aa43-def80b8e142b
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