Koopman Based Controller Design for Boost Converters with Constant Power Loads

A Koopman data based approach is presented in this paper for the controller design of dc-dc boost converters with a Constant Power Load (CPL). A model of the converter is first derived in order to identify suitable functions for the basis selection in the data based identification. Extended dynamic mode decomposition is then developed with the proposed basis function to improve the accuracy of the lifted model representation. A controller design based on linear quadratic regulator is then presented to regulate the output capacitor voltage, complemented by a large signal stability analysis to evaluate the controller's robustness. Lastly, Control Hardware in the Loop (CHIL) results are shown to verify the feasibility of the controller implementation, and its dynamic performance and robustness are compared to conventional cascaded PI controllers.