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ABSTRACT: Recent investigations on the bifurcation behavior of power
electronic DC-DC converters have revealed that most of the observed
bifurcations do not belong to generic classes such as saddle-node,
period doubling, or Hopf bifurcations. Since these systems yield
piecewise smooth maps under stroboscopic sampling, a new class of
bifurcations occur in such systems when a fixed point crosses the border
between the smooth regions in the state space. In this paper we present
a systematic analysis of such bifurcations through a normal form: the
piecewise linear approximation in the neighborhood of the border. We
show that there can be many qualitatively different types of border
collision bifurcations, depending on the parameters of the normal form.
We present a partitioning of the parameter space of the normal form
showing the regions where different types of bifurcations occur. We then
use this theoretical framework to explain the bifurcation behavior of
the current programmed boost converter
IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications 06/2000;
