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Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions

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Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions

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dc.contributor.author Pitarch Pérez, José Luis es_ES
dc.contributor.author Sala Piqueras, Antonio es_ES
dc.contributor.author Lauber, J.
dc.contributor.author Guerra, T. M.
dc.date.accessioned 2017-06-20T07:35:31Z
dc.date.available 2017-06-20T07:35:31Z
dc.date.issued 2016-04-03
dc.identifier.issn 0020-7721
dc.identifier.uri http://hdl.handle.net/10251/83202
dc.description.abstract This paper presents a discrete-time control design methodology for input-saturating systems using a Lyapunov function with dependence on present and past states. The approach is used to bypass the usual difficulty with full polynomial Lyapunov functions of expressing the problem in a convex way. Also polynomial controllers are allowed to depend on both present and past states. Furthermore, by considering saturation limits on the control action, the information about the relationship between the present and past states is introduced via Positivstellensatz multipliers. Sum-of-squares techniques and available semi-definite programming (SDP) software are used in order to find the controller. es_ES
dc.description.sponsorship The research work by J.L. Pitarch and A. Sala has been partially supported by the Spanish government under research project [grant number DPI2011-27845-C02-01 (MINECO)]; Generalitat Valenciana [grant number PROMETEOII/2013/004]. The work by T.M. Guerra and J. Lauber has been supported by the International Campus on Safety and Intermodality in Transportation, the European Community, Delegation Regionale a la Recherche et a la Technologie, Ministere de l'Enseignement superieur et de la Recherche, Region Nord Pas de Calais and the Centre National de la Recherche Scientifique. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof International Journal of Systems Science es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Delayed Lyapunov function es_ES
dc.subject discrete time es_ES
dc.subject polynomial systems es_ES
dc.subject control design es_ES
dc.subject SOS approach es_ES
dc.subject stabilisation es_ES
dc.subject convex optimisation es_ES
dc.subject.classification INGENIERIA DE SISTEMAS Y AUTOMATICA es_ES
dc.title Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00207721.2014.915357
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2011-27845-C02-01/ES/ESTIMACION, OPTIMIZACION Y CONTROL MULTIVARIABLE EN SISTEMAS MULTI-MODELO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F004/ES/DISEÑO DE SISTEMAS DE CONTROL MULTIVARIABLE (DISICOM)/ es_ES
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.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica es_ES
dc.description.bibliographicCitation Pitarch Pérez, JL.; Sala Piqueras, A.; Lauber, J.; Guerra, TM. (2016). Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions. International Journal of Systems Science. 47(5):1176-1184. https://doi.org/10.1080/00207721.2014.915357 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1080/00207721.2014.915357 es_ES
dc.description.upvformatpinicio 1176 es_ES
dc.description.upvformatpfin 1184 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 47 es_ES
dc.description.issue 5 es_ES
dc.relation.senia 325833 es_ES
dc.identifier.eissn 1464-5319
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Centre National de la Recherche Scientifique, Francia es_ES


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