Two studies about a full-bridge boost rectifier are reported in this deliverable. In the first one the converter is analysed in the frame of Variable Structure Systems and Sliding Mode. In the section 2 of the deliverable, the converter is analyzed in the frame of PCHS and controlled using IDA-PBC. The later includes experimental results. The results reported here for both approaches can be generalized to several plants. The particularization to the full-bridge boost rectifier is natural, as this converter is supposed to be used in the flywheel system to feed the rotor of the DFIM. Section 1 studies the dynamics of a single-phase unity power factor full-bridge boost converter circuit and develops a nonlinear controller for the regulation of its output DC voltage, which keeps the input power factor close to unit. The controller has a two loop structure: the inner as a fast dynamic response loop with a sliding controller shaping the inductor input current of the converter, and the outer is a linear controlled slow dynamic response loop that regulates the output DC voltage. The squared value of the DC voltage is passed through a LTI notch filter to eliminate its ripple before using in the outer control loop. This filter, consequently, allows one to expand the bandwidth of the loop and improves its dynamic response. An Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) for a full bridge rectifier is presented in Section 2. The closed loop system performance fulfils unity power factor in the AC mains and output DC voltage regulation. The controller design takes advantage of the Generalized State Space Averaging (GSSA) modelling technique to convert the quoted non-standard problem (in actual variables) into a standard regulation one (in GSSA variables). In this approach, the output current is the measured signal instead of the line current; therefore, the number of sensors does not increase in comparison with traditional approaches. The whole system is robust with respect to load variations.