Hybrid optimal control with singular arcs for DC-DC power converters

Abstract

International audienceIn this article, the design of a feedback control law for DC-DC power converters in continuous conduction mode based on hybrid optimal control theory is presented. The proposed technique consists in determining the singular arcs when a solution of the original optimal control problem cannot be provided. The closed loop stability analysis uses a Lyapunov function based on a port-Hamiltonian representation of the system. The proposed control law is applied to SEPIC converter and validated in simulation

Design and experimental validation of a hybrid optimal control for DC-DC power converters

“…The approach consists in using an optimal control derived form Pontryagin's minimum principle and port-Hamiltonian formalism. In contrast with our previous work [1], the minimization criterion is the stored energy of the closed loop system. Finally, the control law is validated in practice on a real SEPIC converter.…”

“…The drawback of this numerical method is its implementation in real time. To the best of our knowledge, only [1] proposes a state feedback where the costate is given explicitly. However, this preliminary work allowed to design a control based on a necessary optimal condition but it did not allow to fully design an optimal control strategy.…”