LQR control of an asymmetrical interleaved boost converter working in inherent DCM

The analysis in steady state, the controllability calculation and the linear quadratic regulator (LQR) control design for a new fifth order DC/DC boost converter are presented. This new converter is based on the asymmetric connection of two boost cells with complementary activation of their switches giving rise to an asymmetrical interleaved dual boost (AIDB) converter. This system inherently operates in discontinuous conduction mode (DCM). Because of this conduction mode a new outline for getting the converter state apace averaged model is applied. This model is verified by numerical simulation. Based on this model, a LQR control was designed. Matlab-Simulink and PSIM simulation results confirm the accuracy of the model derived.