Design of H∞ robust control for single-phase shunt Active Power Filters

Time-varying uncertainties and loads variation will influence the stabilization of Active Power Filter(APF) control system. In order to enhance the capability of interference suppression and robustness, based on H
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control theory, a state space model including external disturbances is built. In terms of the state space model, H
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output-feedback robust controller is designed using linear matrix inequality(LMI). The controller can ensure the stability of close-loop system, suppress the strong external interference and compensate effectively. Simulation results illustrate the reliability and effectiveness of the proposed control strategy.