In electrical drive applications based on induction machines, such as the propulsion drive of an electric vehicle, the rotor currents cannot be measured, so it needs to be estimated. This paper describes the rotor currents estimation through reduced order estimator known as Kalman filter to apply a speed-sensorless control of dual three-phase induction machines by applying a current inner loop based on the model predictive control. Simulation results are shown to demonstrate the efficiency of the proposed speed-sensorless control technique, thus concluding that the system can work properly without the speed sensor.CONACYT – Consejo Nacional de Ciencia y TecnologíaPROCIENCIA