Smooth bifurcations in 3D-parameter space of Digital-PWM Switched Converter

Abstract

In this paper, we propose an analysis of smooth bifurcations in DC-DC buck converters controlled with digital-PWM. The three typical smooth bifurcations: Fold, Flip and Neimark-Sacker bifurcations are detected depending on control parameters. The presence of the three bifurcations in the same converter is not common and it has not been reported in Digital-PWM Switched Converters. Three parameters are varied in the Digital-PWM controller. Two parameters belong to a combined ZAD-FPIC (Zero Average Dynamic and Fixed Point Induced Control) control strategy and the third parameter is associated to Delays in the measured variables.