This paper proposes a modulated voltage control strategy based on the predictive control approach. To accomplish this, a direct matrix converter topology is used in combination with a three-phase generation system. Results based on a MATLAB/Simulink simulation environment are discussed and the most relevant characteristics of the proposed modulated predictive control approach are highlighted considering the total harmonic distortion as a performance parameter and complying with the specifications of the standards for uninterruptible power supplies. The root-mean-square error is also displayed to show the quality of the system signal.