Robust control design of bilinear DC-DC converters with guaranteed region of stability

This work deals with the modeling and the robust controller synthesis of a nonlinear dc-dc converter. In the first part, we present a model for the bilinear dynamics of a dc-dc converter. The bilinear dynamics of the converter can be included in a convex polytope such that the trajectories of the system out of the equilibrium are assured to remain inside a guaranteed region of stability despite of the bilinear term. Such a description of the dynamic response of the converter will be used, in the second part of this communication, to build a control law which guarantees, a priori, the stability and performance requirements of the design.