Free-matrices min-projection control for high frequency DC-DC converters

Mathias Serieye (1) , Carolina Albea-Sanchez (2) , Alexandre Seuret (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 LAAS-SARA - Équipe Services et Architectures pour Réseaux Avancés

This paper deals with the stabilization of high frequency DC-DC converters. These kind of systems can be modeled as switched affine systems subject to a periodic sampled-data control implementation. The dynamics of these systems is expressed using the δ-operator in order to cope with high frequency switching control constraints. The novelties of this paper, first, relies on the formulation of a free-matrices based min-projection control law, that allows the selection of the mode to be activated, based on the knowledge of the state variables. Second, the stability theorem, expressed in terms of a tractable optimization problem, that guarantees a practical stability result to a set and delivers the optimal control law that minimizes the volume of this one. The method is then illustrated through the control of a high frequency boost converter.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique; Electronique

Mathias Serieye, Carolina Albea-Sanchez, Alexandre Seuret. Free-matrices min-projection control for high frequency DC-DC converters. 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9029674⟩. ⟨hal-02093533v2⟩