Double-loop PI controller design of the DC-DC boost converter with a proposed approach for calculation of the controller parameters

Parameters of digital proportional-integral/proportional-integral-derivative controllers are usually calculated using commonly known conventional methods or solution of discrete-time equations. In literature, a model-based compact form formulation for calculation of discrete-time proportional-integral/proportional-integral-derivative controller parameters has not been come across yet. The proposed model-based compact form formulations are introduced to calculate the proportional-integral parameters in discrete time as a new approach. Generally, different types of control techniques are chosen in similar studies for double-loop control for direct current-direct current boost converter control except proportional-integral/proportional-integral. In this study, double-loop proportional-integral controller is used as a different control method from literature. By this way, the most important advantages of the proposed study are to reduce different design methods to a unique proportional-integral design method and shorten all calculations. The accuracy of the double-loop proportional-integral controller's parameters calculated using the model-based compact form formulations is validated both in simulation and experimental studies under various disturbance effects. Satisfactory performance of the proposed controller under model uncertainty and other cases are comparatively shown with the predefined performance criteria