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In this work, is developed a new discrete-time robust adaptive predictive control based on combining the adaptive structure of a Model Reference Adaptive Controller (RMRAC), to adjust gains online, with the control law One Sample Ahead Preview (OSAP), a particular case of deadbeat controller, for the current loop of a grid-connected voltage-source converter, also, this control not need resonant controllers to reject exogenous disturbances. A case application is presented, the grid-side currents control of a three-phase full-bridge static converter connected to the electrical grid by LCL filter. Simulation results are presented to show the performance of the proposed controller in a grid connected system.