I-LQG control of DC-DC boost converters

We present a detailed design of a linear quadratic Gaussian control system with integral action (I-LQG) for a switched-mode DC-DC boost converter. Initially, identification tests were carried out to obtain an adequate linear model of the converter - using a black-box simulation model in MATLAB and Simulink. Then, we proceeded with the design of LQG and I-LQG control systems in three steps. First, we designed a linear quadratic regulator (LQR). After that, we constructed a linear quadratic estimator (LQE) of Kalman type and completed a LQG control system using the separation principle. Finally, we added integral action to the system and derived new LQR and LQE to construct the I-LQG control system. We tested the LQG and I-LQG control systems in the black-box model. These tests showed the effectiveness of the controllers for the regulation of the converter´s output, for the rejection of constant perturbations, and for the attenuation of noise in measurements.