State space control of quadratic boost converter using LQR and LQG approaches

The systematic design of a Linear Quadratic Regulator (LQR) state-feedback controller with an integral action is presented for a quadratic DC/DC boost converter topology. The weighting factors are selected with respect to energy considerations. By using a Kalman Filter for both filtering and state estimation purpose a Linear Quadratic Gaussian (LQG) controller is obtained. For the proper operation of the LQG controller an average state-space model of the quadratic boost converter with non ideal elements is introduced. Detailed simulation study in the discrete time-domain is presented demonstrating the robustness of both LQR and LQG. Laboratory tests results are shown for LQR.