Repetitive controller design for uninterruptible power supplies: An LMI approach

This paper proposes a semidefinite programming approach for designing repetitive controllers applied to uninterruptible power supplies. Considering a state space realization of a standard repetitive controller, Lyapunov-Krasovskii stabilization design conditions are cast in terms of linear matrix inequalities which are numerically solved by standard software packages. These conditions ensure the closed-loop stability for a set of admissible loads which is supposed known a priori. Experimental results are presented to demonstrate the effectiveness of the proposed design conditions.