Modelling switching power converters as complementarity systems

Switched complementarity models of linear circuits with ideal diodes and/or ideal switches allow one to study well-posedness and stability issues for these circuits by employing the complementarity problems of the mathematical programming. In this paper, we demonstrate that other types of typical electronic switching elements such as transistors and thyristors can also be treated in the framework of switched complementarity systems. By employing complementarity methods, we establish well-posedness results for a fairly large class of switched circuits that encompass power converters.