Bifurcation analysis of a Lyapunov-based controlled boost converter
View/Open
COMMUN.pdf (3,732Mb) (Restricted access)
Request copy
Què és aquest botó?
Aquest botó permet demanar una còpia d'un document restringit a l'autor. Es mostra quan:
- Disposem del correu electrònic de l'autor
- El document té una mida inferior a 20 Mb
- Es tracta d'un document d'accés restringit per decisió de l'autor o d'un document d'accés restringit per política de l'editorial
Cita com:
hdl:2117/19765
Document typeArticle
Defense date2013-11
Rights accessRestricted access - publisher's policy
Abstract
Lyapunov-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.
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.
ISSN1007-5704
Collections
- ACES - Control Avançat de Sistemes d'Energia - Articles de revista [191]
- Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial - Articles de revista [1.173]
- Departament de Matemàtiques - Articles de revista [2.877]
- Departament d'Enginyeria Electrònica - Articles de revista [1.515]
Files | Description | Size | Format | View |
---|---|---|---|---|
COMMUN.pdf![]() | 3,732Mb | Restricted access |
Except where otherwise noted, content on this work
is licensed under a Creative Commons license
:
Attribution-NonCommercial-NoDerivs 3.0 Spain