Integrated control and circuit design; an optimization approach applied to the buck converter

The paper deals with design of power converters for optimal disturbance rejection. Both circuit parameters and control input are optimized simultaneously in a joint procedure. In general, the optimization problem requires solving bilinear matrix inequalities. For the buck converter, we show that the original problem can be reformulated equivalently as two simpler min-max problems that are solved successively. As a result, the optimal circuit parameters which minimize the impact of the disturbance are found. The circuit parameters and control are verified in simulation.