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Explicit predictive control with non-convex polyhedral constraints

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Explicit predictive control with non-convex polyhedral constraints

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dc.contributor.author Pérez Soler, Emilio es_ES
dc.contributor.author Ariño Latorre, Carlos Vicente es_ES
dc.contributor.author Blasco Ferragud, Francesc Xavier es_ES
dc.contributor.author Martínez Iranzo, Miguel Andrés es_ES
dc.date.accessioned 2013-11-18T14:28:19Z
dc.date.issued 2012
dc.identifier.issn 0005-1098
dc.identifier.uri http://hdl.handle.net/10251/33689
dc.description.abstract This paper proposes an explicit solution to the model predictive control of linear systems subject to non-convex polyhedral constraints. These constraints are modeled as the union of a finite number of convex polyhedra. The algorithm is based on calculating the explicit solution to a modified problem with linear constraints defined as the convex hull of the original ones and classifying its regions by their relation with the regions of the explicit solution to the original problem. Some of the regions are divided, and a procedure based on sum-of-squares programming is designed to determine which of the possible solutions are in fact optimal. Finally, the online algorithm is shown to be better in terms of computational cost and memory requirements than an algorithm based on obtaining and comparing the solutions of the problem using as constraints the polyhedra whose union forms the non-convex regions, both theoretically and by the results of an example es_ES
dc.description.sponsorship This work was partially funded by projects DPI2008-02133 and DPI2008-06731-C02-01(and -02)/DPI Ministerio de Ciencia e Innovacion-Spanish Government. en_EN
dc.format.extent 6 es_ES
dc.language Inglés es_ES
dc.publisher International Federation of Automatic Control es_ES
dc.relation DPI Ministerio de Ciencia e Innovacion-Spanish Government [DPI2008-02133, DPI2008-06731-C02-01, DPI2008-06731-C02-02] es_ES
dc.relation.ispartof Automatica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Model predictive control es_ES
dc.subject Multiparametric programming es_ES
dc.subject Non-convex constraints es_ES
dc.subject Sum of squares es_ES
dc.subject.classification INGENIERIA DE SISTEMAS Y AUTOMATICA es_ES
dc.title Explicit predictive control with non-convex polyhedral constraints es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1016/j.automatica.2011.07.011
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Automática e Informática Industrial - Institut Universitari d'Automàtica i Informàtica Industrial es_ES
dc.description.bibliographicCitation Pérez Soler, E.; Ariño Latorre, CV.; Blasco Ferragud, FX.; Martínez Iranzo, MA. (2012). Explicit predictive control with non-convex polyhedral constraints. Automatica. 48(2):419-424. doi:10.1016/j.automatica.2011.07.011 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.automatica.2011.07.011 es_ES
dc.description.upvformatpinicio 419 es_ES
dc.description.upvformatpfin 424 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 48 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 223821


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