Copyright © 2009 Abdelali El Aroudi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the dynamical behavior of a single inductor two inputs two outputs (SITITO)
power electronics DC-DC converter under a current mode control in a PWM interleaved scheme. This
system is able to regulate two, generally one positive and one negative, voltages (outputs). The regulation
of the outputs is carried out by the modulation of two time intervals within a switching cycle. The value
of the regulated voltages is related to both duty cycles (inputs). The stability of the whole nonlinear
system is therefore studied without any decoupling. Under certain operating conditions, the dynamical
behavior of the system can be modeled by a piecewise linear (PWL) map, which is used to investigate the
stability in the parameter space and to detect possible subharmonic oscillations and chaotic behavior.
These results are confirmed by numerical one dimensional and two-dimensional bifurcation diagrams and
some experimental measurements from a laboratory prototype.