For grid-connected inverters， the switching frequency harmonics can be effectively attenuated through LCL filters， however， the grid current is easy to be resonated， which results in the difficulty in the system design. If the weighted average of the currents through two inductors is used for the feedback control， the high order control of LCL system is degraded to a low order one. In this way it is easy to obtain good system performance. However， there are still under-damped conjugate poles depending on the non-ideal factors in the grid current. The inhibitions of harmonics at the resonance frequencies are poor and the system bandwidth is limited. An idea of combining active damping and weighted current control together is proposed to overcome these difficulties. Besides， the control characteristics of the proposed method， including the robustness， are investigated and compared with those of the weighted current control with passive damping. The proposed control strategy can realize better robustness and further improve the system performance through a simple design procedure.