A new method to control a micro-grid consisting of various distributed generation (DG) units which are connected to the distribution grid is presented in this paper. In this regard, an energy-management algorithm based on robust control is realized to coordinate the performances of the battery in the micro-grid for grid-connected networks and islanded performances. The designed controller for DG inverters employs a novel algorithm of predictive control which provides faster computation time for high consumer power systems by improving the transient control and steady-state problems, separately. In addition, a micro-grid consisting of a proton-exchange membrane fuel cell (PEMFC), a photovoltaic (PV) array, and a lithium-ion storage battery (SB) is considered. In order to reduce the overall computation time of the system, the designed controller for DG inverters employs a newly developed MPC algorithm which decomposes the control problem into transient sub-problems and steady state. The entire presented system is simulated using MATLAB and then simulation results illustrate the effective performance of the proposed system. Micro-grids with renewable DGs such as solar cells and lithium-ion batteries that are connected to the network via converters are used as the reactive power compensation of nonlinear loads. A robust control method is used for controlling the inverter switches for batteries connected to the power network. An approach based on a robust control study is used in the formation of H_infinity, considering the transient and steady-state response when the system voltage and frequency have priority. Assessments use this method to control voltage and frequency in micro-grid scenarios Manuscript profile