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A first-order numerical approach to switched-mode systems optimization

dc.creatorAzhmyakov V.spa
dc.creatorJuarez R.spa
dc.date.accessioned2017-12-19T19:36:45Z
dc.date.available2017-12-19T19:36:45Z
dc.date.created2017
dc.identifier.issn1751570X
dc.identifier.urihttp://hdl.handle.net/11407/4287
dc.description.abstractThis paper studies optimal control processes governed by switched-mode systems. We consider Optimal Control Problems (OCPs) with smooth cost functionals and apply a newly elaborated abstraction for the system dynamics under consideration. The control design we finally obtain includes an optimal switching times selection ("timing") as well as an optimal modes sequence scheduling ("sequencing"). For purpose of numerical treatment of the initially given OCP we use a newly elaborated relaxation concept and analyse the resulting "weakly relaxed" optimization problems. In contrast to the conventional relaxations our approach is based on the infimal prox convolution technique and does not use the celebrated Chattering Lemma. This fact causes a lower relaxation gap. Our aim is to propose a gradient-based computational algorithms for the OCPs with switched-mode dynamics. In particular, we deal with the celebrated Armijo-type gradient methods and establish the corresponding convergence properties. The numerical consistency (numerical stability) analysis makes it possible to apply a class of relative simple first-order numerical procedures to a sophisticated initial OCP involved in specific switched-mode dynamics. © 2017 Elsevier Ltd.eng
dc.language.isoeng
dc.publisherElsevier Ltdspa
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85015320829&doi=10.1016%2fj.nahs.2017.02.003&partnerID=40&md5=f027e2fe170cae3c41d47f6bbc969781spa
dc.sourceScopusspa
dc.titleA first-order numerical approach to switched-mode systems optimizationspa
dc.typeArticle in Presseng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.contributor.affiliationAzhmyakov, V., Universidad de Medellin, Department of Basic Sciences, Medellin, Colombiaspa
dc.contributor.affiliationJuarez, R., Universidad Autónoma de Coahuila, Department of Accounting, Torreon, Mexicospa
dc.identifier.doi10.1016/j.nahs.2017.02.003
dc.subject.keywordConsistent numerical approximationseng
dc.subject.keywordConvex relaxationseng
dc.subject.keywordEngineering applicationseng
dc.subject.keywordSwitched-mode control systemseng
dc.subject.keywordConvolutioneng
dc.subject.keywordGradient methodseng
dc.subject.keywordOptimal control systemseng
dc.subject.keywordOptimizationeng
dc.subject.keywordComputational algorithmeng
dc.subject.keywordConvergence propertieseng
dc.subject.keywordConvex relaxationeng
dc.subject.keywordConvolution techniqueseng
dc.subject.keywordEngineering applicationseng
dc.subject.keywordNumerical approximationseng
dc.subject.keywordOptimal control problemeng
dc.subject.keywordSwitched modeeng
dc.subject.keywordRelaxation processeseng
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.abstractThis paper studies optimal control processes governed by switched-mode systems. We consider Optimal Control Problems (OCPs) with smooth cost functionals and apply a newly elaborated abstraction for the system dynamics under consideration. The control design we finally obtain includes an optimal switching times selection ("timing") as well as an optimal modes sequence scheduling ("sequencing"). For purpose of numerical treatment of the initially given OCP we use a newly elaborated relaxation concept and analyse the resulting "weakly relaxed" optimization problems. In contrast to the conventional relaxations our approach is based on the infimal prox convolution technique and does not use the celebrated Chattering Lemma. This fact causes a lower relaxation gap. Our aim is to propose a gradient-based computational algorithms for the OCPs with switched-mode dynamics. In particular, we deal with the celebrated Armijo-type gradient methods and establish the corresponding convergence properties. The numerical consistency (numerical stability) analysis makes it possible to apply a class of relative simple first-order numerical procedures to a sophisticated initial OCP involved in specific switched-mode dynamics. © 2017 Elsevier Ltd.eng
dc.creator.affiliationUniversidad de Medellin, Department of Basic Sciences, Medellin, Colombiaspa
dc.creator.affiliationUniversidad Autónoma de Coahuila, Department of Accounting, Torreon, Mexicospa
dc.relation.ispartofesNonlinear Analysis: Hybrid Systemsspa
dc.relation.ispartofesNonlinear Analysis: Hybrid Systems Volume 25, 1 August 2017, Pages 126-137spa
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dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/other
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellínspa
dc.identifier.instnameinstname:Universidad de Medellínspa


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