A linear quadratic control applied to buck converters with H-infinity constraints

This paper provides a control design algorithm to get state feedback controllers for DC-DC buck converters with input voltage disturbances. The algorithm is based on the linear quadratic regulator and on the H_∞ norm, ensuring a prescribed settling time for the transient responses and a prescribed attenuation for disturbances on the input voltage. Results show that the proposed algorithm can provide control gains with suitable time and frequency responses for the closed-loop system.