Analysis of bifurcation in switched dynamical systems with periodically moving borders: application to power converters

This paper describes a global method for analyzing the bifurcation phenomena in switched dynamical systems whose switching borders vary periodically with time. The type of systems under study covers most power electronics circuits. In particular, the complex bifurcation behavior of a voltage feedback buck converter is studied in detail. The analytical method developed in this paper allows bifurcation scenarios to be clearly revealed in any chosen parameter space.