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This paper presents a discrete-time predictive control strategy for a voltage-source inverter based on computation of a deadbeat control law and its approximating suboptimal voltage vector at every sampling interval. The controller, in addition to compensating for the inherent delay in the system, employs a simple prediction filter to suppress the disturbance caused by the back-EMF voltages and improve robustness against parameter variations across the load. Discussions on the effect of the back-EMF prediction on the performance and robustness of the system is provided. It is shown that the proposed control strategy yields satisfactory transient and steady-state behavior and that the closed-loop system can tolerate a wide range of parameter variations and model uncertainty.