Modern control of a three-phase pulse-width modulated voltage source inverter

Static output feedback control with H<inf>&#x221E;</inf> performance for a three-phase shunt active filter

“…Using (1), one can easily obtain the state model of a threephase shunt active filter system in the three-phase domain (a, b, c) [4]. Apply the Concordia transformation in order to map the state model from this domain into a two-phase orthogonal stationary frame (α, β ),…”

“…For more details concerning the transition from the frame (a, b, c) to (cd, qi), the reader is referred to [4], [7].…”

“…In a previous work [4], [5], a shunt active filter system used to depollute a low voltage three-phase electrical network has been successfully driven by a state feedback controller due to the fact that all state variables are accessible. The goal is to reduce the number of measured outputs and therefore an output feedback controller has to be synthesized.…”