Continuous Models for Discontinuous Periodic Bilinear Systems Application to Control Power Converters Problem

ln this paper we show how time varying periodic discontinuous (bilinear) systems can be transformed into continuous systems and controlled using the concept of dependent-time Fourier series. An application to the problem of modeling Dc-to-Dc symmetric power converters is given. Using these models, nonlinear control laws are found. The usefulness and he powerfull of these applications is confirmed by simulation and experimental results given at the end.