Switched affine systems control design with application to DC–DC converters

This study presents a novel procedure for switched affine systems control design specially developed to deal with switched converters where the main goal is to attain a set of equilibrium points. The main contribution is on the determination of a switching function, which assures global stability and minimises a guaranteed quadratic cost. The implementation of the switching function taking into account only partial information is analysed and discussed with particular interest. The theoretical results are applied to buck, boost and buck–boost converters control design. Several simulations show the usefulness of the methodology and its favourable impact in a class of real-world control design problems.