On the stability of inverter based microgrids VIA LMI optimization

In the present paper, the stability of inverter-based microgrids is considered. A decentralized state-feedback control approach for inverter-based microgrids with a linear matrix inequality (LMI) stability condition is proposed. Controller gains for inverters are designed by solving the LMI optimization problem. The resulting controller stabilizes the system, guaranteeing zero steady-state frequency deviations.