Relaxed periodic switching controllers of high-frequency DC-DC converters using the $δ$-operator formulation

Antonio Ventosa Cutillas (1) , Carolina Albea-Sanchez (2) , Alexandre Seuret (2) , Francesco Gordillo (1)

1 Universidad de Sevilla = University of Seville
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper deals with the design of new periodic switching control laws for high frequency DC-DC converters. The contributions are twofolds. On a first hand, the DC-DC converter model are rewritten as a periodic switched affine systems thanks to a δ-operator formulation, which represent an efficient framework for the numerical discretization at high frequencies. On a second hand, three different control laws are provided, the first one being the usual Lyapunov-based control law and the two others being relaxed versions of this first solution. The benefits of these two new control laws over the usual Lyapunov-based one are demonstrated on an simple example. More particularly, it is showed that the selection of sampling period and of the control law strongly influence the size of the region of attraction.

Domaines: Automatique

Antonio Ventosa Cutillas, Carolina Albea-Sanchez, Alexandre Seuret, Francesco Gordillo. Relaxed periodic switching controllers of high-frequency DC-DC converters using the $δ$-operator formulation. IEEE Conference on Decision and Control, Dec 2018, Miami, United States. ⟨10.1109/CDC.2018.8619385⟩. ⟨hal-01746435⟩