This paper contains a control scheme for power sharing in islanded microgrids with inverter-sourced distributed energy resources that combines robust control and droop control. As the load within the microgrid changes, the inverter-sourced generators will share this change in load. This paper includes a background on control schemes for power sharing and highlights the difficulty in exact reactive power sharing. In this paper a Distributed Energy Resource (DER) unit consists of an energy source and an energy storage system. A robust control scheme is proposed for the energy source which is augmented by droop control for the storage system. The performance of the proposed controller is demonstrated using a test microgrid system.