Discrete-time modelling of pulse-width modulated DC-DC converters in sub-sampling conditions

This paper presents an extension of a small-signal discrete time modelling procedure for DC-DC converters. It takes into account the fact that the time between samples can be an integer multiple of the switching period of the converter, thus in under-sampling or sub-sampling conditions. The objective of this paper is to obtain a small-signal discrete model so the degradation in the dynamic performance of the DC-DC converter introduced by the sub-sampling conditions can be assessed and a proper controller designed.