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

In 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.