Modeling PWM DC-DC converter as discrete input/continuous output system and its application to system local controllability

Periodic nature is always overlooked whenever power stage of a PWM DC-DC converter is modeled as averaged or sampled-data system. So these models are not suitable for studying a generalized system in cascade to the converter-power-stage. As a result, the former studies of the system local controllability or observability were always application oriented. In this paper, the authors have modeled the power stage of converter as a discrete-input continuous-output linear system. Their way of obtaining the linear model is more direct than former sampled-data approaches. As an application of this model, they present a simple test depending on the converter parameters alone to verify the controllability of any linear system in cascade (which possibly can be a controller) to it. Their success in obtaining a controller independent test for controllability lies in the modeling of DC-DC converter in a more natural way. Examples have been granted to validate the results