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Síntese de controladores repetitivos chaveados: uma aplica??o à fontes ininterruptas de energia (UPS)DOI: 10.1590/S0103-17592011000200007 Keywords: repetitive control, switched controller, time-delay systems, uninterruptible power supplies - ups, linear matrix inequalities - lmis. Abstract: this paper presents a methodology for the synthesis of repetitive switched controllers to ensure the reference tracking of sinusoidal signals and the disturbance rejection on uninterruptible power supplies - ups. to improve both transitory and steady-state behavior of the output signal, we consider a state-space realization of a switched repetitive controller aiming two distinct operation conditions: transitory response (to improve the recovery time when the load is changed) and steady-state (to reduce the total harmonic distortion of the output signal when subjected to nonlinear loads). based on a state-space framework, a state feedback is introduced to ensure the stability of the closed-loop when it is subjected to an arbitrary switching function. from a lyapunov-krasovskii functional, lmi conditions are derived to compute the stabilizing feedback gain. the dynamic behavior of the proposed control scheme is presented through simulation of a real ups model subjected to non-linear loads.
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