Abstract: In order to improve robustness and stability, and reduce application conditions, a voltage distributed robust control considering cross coupling dynamics is proposed. The interaction between the cross coupling dynamics between the current components of the inverter and each DER was considered, and the auxiliary voltage regulation service was provided through the DER, giving priority to making full use of reactive power with the participation of active power. Each DER was guaranteed to be equipped with a state feedback controller and two proportional integral and integral standard controllers using only local measurements. The gain of all der controllers was designed as a constrained minimization problem, so as to ensure the robust control under a wide range of parameter changes near its nominal value. The simulation results running in PSCAD software environment verify the effectiveness of the proposed control method.