A new control law of bilinear DC-DC converters developed by direct application of Lyapunov

The state space averaging models of boost, buck-boost and Cuk converters are shown to be bilinear systems. Because of the difficulties in analyzing such bilinear systems, most of the previous work dealing with such converters in the state space are confined to the discussions of their linear approximated systems (small signal model). 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 numerical simulations