A resonant-repetitive control scheme applied to Uninterruptible Power Supplies (UPS)

This paper proposes a new control topology based on the simultaneous implementation of repetitive and resonant controllers to be applied to uninterruptible power supplies. The integration of the controllers is motivated by performance criteria: a good dynamic response with asymptotic tracking is provided by the resonant controller while disturbance rejection is achieved by the repetitive controller. Both strategies are based on the internal model principle, which is the underlying theoretical basis that provides performance criteria for the system. An augmented state-space representation that includes not only the plant but also the controllers is presented so that the control design may be cast in terms of linear matrix inequalities. Robust stability and performance criteria are achieved through a Lyapunov-Krasovskii funcitonal. Simulation results that illustrate the effectiveness of the proposed design are presented. © 2013 Brazilian Society for Automatics - SBA.