Control Based on Differential Flatness for a DC/DC Boost Converter via a Sigma -- Delta-Modulator

This paper presents the design of an average controller based on differential flatness for a DC/DC Boost power converter. This controller allows the system output voltage to perform the trajectory tracking task. When designing control laws based on the average model of switched systems a modulator is necessary to appropriately govern the converter switch. Thus, the switched implementation of the designed flatness-based controller for the Boost converter is carried out by using a Σ-Δ-modulator. The performance of the controller herein presented is verified through numerical simulations with Matlab-Simulink.