Abstract—In this paper we derive a simplified nonlinear
map of a two-cell DC-DC buck power electronic converter. The
nonlinear map is piece-wise smooth and has a single fixed point.
Under parameter change, the fixed point loses stability through
a nonsmooth period doubling bifurcation. The stability zone is
located in the design parameter space. Outside this zone the
system presents subharmonic oscillations and chaotic dynamics.
The Fixed Point Induced Control (FPIC) technique is then
applied to the system in order to widen the stability zone. The
performance of the FPIC technique applied for the stabilization
of the two-cell DC-DC buck converter is analyzed. With this
technique, the stabilization is achieved without altering the fixed