Linear Matrix Inequality-Based Optimal State Feedback Control of a Three-Phase L-filtered Grid-Connected Inverter

This paper discusses a systematic control design for a three-phase L-filtered grid-connected inverter using linear matrix inequality-based optimization method. A state feedback control is employed to provide stability to the inverter system and with the inclusion of integral control the offset error can be eliminated. In addition, the proposed control is implemented in dq-synchronous frame…