Non-smooth bifurcations in a 1-D piecewise linear model of a Single Inductor Two-Output DC-DC switching converter

Discrete-time modeling approach is used to analyze the non-smooth bifurcation phenomena in a single-inductor two- output DC-DC converter under interleaved control scheme. In particular, a four-piece linear map is derived, which models the dynamical behavior of the converter when the waveforms of the inductor current are assumed to be linear during each switching sub-interval. The domain of the parameters is constrained by the interleaving control and the physical parameters. This paper focuses on the existence and stability conditions of the rich variety of k-periodic orbits and the different bifurcation patterns that can be exhibited. The analytical results in the form of 2-D bifurcation diagrams are compared with numerical simulations obtained from the circuit-based switched model getting a good agreement between the two approaches.