In this paper, a coupled-inductor Boost converter is modelled as a piece-wise complementarity system and controlled by means of two loops: a sliding mode control inner loop and an experimentally tuned PID outer loop control. The aim of the closed loop system is to regulate the output voltage of the coupled-inductor Boost converter. The control is carried out using the piece-wise complementarity model of the converter, which takes into account its hybrid dynamic. In addition, the performance and the effectiveness of the feedback control is validated through computer simulations using MATLAB and Psim.