Small Signal Analysis and Control Design of the Cuk Converter in Discontinuous Conduction Mode Based on the Averaged Switch Modeling

This article has an educational purpose and was developed in the Switched Converters Modeling and Control course of a postgraduate program, during the pandemic period. This work presents the small-signal model and the control design of the Cuk converter operating in the Discontinuous Conduction Mode (DCM). The converter model is based on the Averaged Switch Modeling, which is capable of modeling a nonlinear system as a linear system, thus reducing both the model and control system design complexity. The control design was carried out with MATLAB sisotool, based on a single-loop feedback, thus enhancing the system reliability and economy, while reducing its complexity. The control effectiveness is validated through the load step analysis and the disturbances applied in the input voltage. The system also presented a suitable dynamic response, while regulating the converter output reference voltage.