Widening stability zone of a multi-cell DC-DC buck converter by using Fixed Point Induced Control

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 point.