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On the linear quadratic dynamic optimization problems with fixed-levels control functions

dc.creatorAzhmyakov V.spa
dc.creatorTrujillo L.A.G.spa
dc.date.accessioned2017-12-19T19:36:42Z
dc.date.available2017-12-19T19:36:42Z
dc.date.created2017
dc.identifier.issn11268042
dc.identifier.urihttp://hdl.handle.net/11407/4256
dc.description.abstractThis paper deals with a constrained LQ-type optimal control problem (OCP) in the presence of fixed levels input restrictions. We consider control processes governed by linear differential equations with a priori known control switching structure. The set of admissible inputs reflects some important natural engineering applications and moreover, can also be interpreted as a result of a quantization procedure applied to the original dynamic system. We propose a novel implementable algorithm that makes it possible to calculate a (numerically consistent) approximative solution to the constrained LQ-type OCPs under consideration. Our contribution mainly discusses theoretic aspects of the proposed solution scheme and contains an illustrative numerical example. © 2017, Forum-Editrice Universitaria Udinese SRL. All rights reserved.eng
dc.language.isoeng
dc.publisherForum-Editrice Universitaria Udinese SRLspa
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85016603353&partnerID=40&md5=e7a77b88d1c0caa2f5a939eb4d300620spa
dc.sourceScopusspa
dc.titleOn the linear quadratic dynamic optimization problems with fixed-levels control functionsspa
dc.typeArticleeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.contributor.affiliationAzhmyakov, V., Department of Basic Sciences, Universidad de Medellin, Medellin, Colombiaspa
dc.contributor.affiliationTrujillo, L.A.G., School of Ingeniering, Universidad de Medellin, Medellin, Colombiaspa
dc.subject.keywordConvex optimizationeng
dc.subject.keywordNumerical methodseng
dc.subject.keywordOptimal controleng
dc.subject.keywordSystems theoryeng
dc.subject.keywordConvex optimizationeng
dc.subject.keywordDifferential equationseng
dc.subject.keywordOptimal control systemseng
dc.subject.keywordOptimizationeng
dc.subject.keywordSystem theoryeng
dc.subject.keywordControl functionseng
dc.subject.keywordControl processeng
dc.subject.keywordControl switchingeng
dc.subject.keywordEngineering applicationseng
dc.subject.keywordLinear differential equationeng
dc.subject.keywordLinear quadraticeng
dc.subject.keywordOptimal control problemeng
dc.subject.keywordOptimal controlseng
dc.subject.keywordNumerical methodseng
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.abstractThis paper deals with a constrained LQ-type optimal control problem (OCP) in the presence of fixed levels input restrictions. We consider control processes governed by linear differential equations with a priori known control switching structure. The set of admissible inputs reflects some important natural engineering applications and moreover, can also be interpreted as a result of a quantization procedure applied to the original dynamic system. We propose a novel implementable algorithm that makes it possible to calculate a (numerically consistent) approximative solution to the constrained LQ-type OCPs under consideration. Our contribution mainly discusses theoretic aspects of the proposed solution scheme and contains an illustrative numerical example. © 2017, Forum-Editrice Universitaria Udinese SRL. All rights reserved.eng
dc.creator.affiliationDepartment of Basic Sciences, Universidad de Medellin, Medellin, Colombiaspa
dc.creator.affiliationSchool of Ingeniering, Universidad de Medellin, Medellin, Colombiaspa
dc.relation.ispartofesItalian Journal of Pure and Applied Mathematicsspa
dc.relation.ispartofesItalian Journal of Pure and Applied Mathematics Volume 2017, Issue 37, January 2017, Pages 219-237spa
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dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellínspa
dc.identifier.instnameinstname:Universidad de Medellínspa


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