A new control law for realizing some good responses of DC-DC converters

The state space averaging models of boost, buck-boost and cuk power converters are shown to be bilinear systems. Because of the difficulties in analyzing such bilinear systems, most of the previous works dealing with such converters in the state space were confined to the discussions of their linear approximated systems (small signal models). A new control law based on the bilinear large signal models, not linearly approximated, is proposed for achieving the output regulation of these converters. The control law is derived from directly applying the Lyapunov stability theory to the bilinear large signal models, so that the closed loop systems possess excellent output properties, some of which are illustrated by the numerical simulations.<>