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dc.contributor.authorSpinetti Rivera, Mario de Jesús
dc.contributor.authorOlm Miras, Josep Maria
dc.contributor.authorBiel Solé, Domingo
dc.contributor.authorFossas Colet, Enric
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial
dc.identifier.citationSpinetti, M. de J. [et al.]. Bifurcation analysis of a Lyapunov-based controlled boost converter. "Communications in nonlinear science and numerical simulation", Novembre 2013, vol. 18, núm. 11, p. 3108-3125.
dc.description.abstractLyapunov-based controlled boost converters have a unique equilibrium point, which is globally asymptotically stable, for known resistive loads. This article investigates the dynamic behaviors that appear in the system when the nominal load differs from the actual one and no action is taken by the controller to compensate for the mismatch. Exploiting the fact that the closed-loop system is, in fact, planar and quadratic, one may provide not only local but also global stability results: specifically, it is proved that the number of equilibria of the converter may grow up to three and that, in any case, the system trajectories are always bounded, i.e. it is a bounded quadratic system. The possible phase portraits of the closed-loop system are also characterized in terms of the selected bifurcation parameters, namely, the actual load value and the gain of the control law. Accordingly, the analysis allows the numerical illustration of many bifurcation phenomena that appear in bounded quadratic systems through a physical example borrowed from power electronics.
dc.format.extent18 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Enginyeria electrònica::Electrònica de potència::Convertidors de corrent elèctric
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshElectric current converters
dc.subject.lcshLyapunov functions
dc.subject.otherBoost converter
dc.subject.otherLyapunov-based control
dc.subject.otherBounded quadratic systems
dc.titleBifurcation analysis of a Lyapunov-based controlled boost converter
dc.subject.lemacConvertidors de corrent elèctric
dc.subject.lemacLyapunov, Funcions de
dc.contributor.groupUniversitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
upcommons.citation.authorSpinetti, M. de J.; Olm, J.; Biel, D.; Fossas, E.
upcommons.citation.publicationNameCommunications in nonlinear science and numerical simulation

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