On power sharing and stability in autonomous inverter-based microgrids

We consider the problem of voltage and frequency stability for an autonomous inverter-based microgrid. An LMI-based decentralized feedback control design is derived that stabilizes the system under the consideration of droop-like controllers aiming to achieve power sharing among the different generation units. We provide a design procedure that accounts for uncertainties in line impedances and loads while guaranteeing zero steady-state frequency deviation.