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dc.contributor.authorCugueró Escofet, Josep
dc.contributor.authorSaludes Closa, Jordi
dc.contributor.authorEscobet Canal, Teresa
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Disseny i Programació de Sistemes Electrònics
dc.date.accessioned2014-05-07T16:11:31Z
dc.date.created2013
dc.date.issued2013
dc.identifier.citationPep Cugueró Escofet; Saludes, J.; Escobet, T. A set simulation approach to the computation of invariant sets for nonlinear systems. A: IEEE Conference on Decision and Control. "Proceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control: CDC 2013: December 10-13, 2013: Florence, Italy". Florència: Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 1944-1949.
dc.identifier.isbn978-1-4673-5714-2
dc.identifier.urihttp://hdl.handle.net/2117/22896
dc.description.abstractGiven a nonlinear discrete-time system, previous works exist that compute invariant sets as finite unions of boxes. Set inversion algorithms based on interval arithmetic are used to obtain inner approximations of the one step set starting in an invariant target set. In this paper a complementary approach based on set simulation is proposed. An invariant set can be obtained if a set trajectory that initiates in a given set, reaches this set again in a given number of steps at most. The first advantage of the proposed method is that there is no need to know an initial invariant set. The second one is that for a given system, a high convergence rate of the trajectories tends to reduce the computational effort of the method. The main disadvantage is that the algorithm does not guarantee that an invariant set is obtained. It just guarantees a response in finite time.
dc.format.extent6 p.
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació
dc.subjectÀrees temàtiques de la UPC::Informàtica::Automàtica i control
dc.subject.lcshNonlinear systems -- Simulation methods
dc.subject.lcshComputer-aided design
dc.subject.otherComputational methods
dc.subject.otherComputer aided control design
dc.titleA set simulation approach to the computation of invariant sets for nonlinear systems
dc.typeConference lecture
dc.subject.lemacDisseny assistit per ordinador
dc.subject.lemacSistemes no lineals
dc.contributor.groupUniversitat Politècnica de Catalunya. SIC - Sistemes Intel·ligents de Control
dc.contributor.groupUniversitat Politècnica de Catalunya. SAC - Sistemes Avançats de Control
dc.identifier.doi10.1109/CDC.2013.6760166
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://cataleg.upc.edu/record=b1436874~S1*cat
dc.rights.accessRestricted access - publisher's policy
drac.iddocument12898469
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
upcommons.citation.authorPep Cugueró Escofet; Saludes, J.; Escobet, T.
upcommons.citation.contributorIEEE Conference on Decision and Control
upcommons.citation.pubplaceFlorència
upcommons.citation.publishedtrue
upcommons.citation.publicationNameProceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control: CDC 2013: December 10-13, 2013: Florence, Italy
upcommons.citation.startingPage1944
upcommons.citation.endingPage1949


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