Robust Switching Rule Design for Single-Phase Shunt Active Power Filter

Active Power Filters (APF) dynamically compensate the effects of nonlinear load currents on the current drained from the local utility grid, in order to mitigate its Total Harmonic Distortion (THD). However, the nonlinear aspects of the desired references and the system model are challenging for robust control design. Motivated by the lack of switching rule design methods solving the APF issues, this paper proposes an adaptation and extension to an existing method in order to cope with a class of time-varying nonlinearities and references. The method is based on solving Linear Matrix Inequality (LMI) conditions, providing robust stability guarantees. The efficacy of the results are illustrated through numerical simulations based on a real single-phase shunt APF prototype.