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This paper introduces a generalized predictive controller (GPC) for the speed control of a PMSM. The performance of the proposed controller is evaluated in simulation and compared with a IP controller. The stator flux linkage and electromagnetic torque are controlled by (DTC) strategy. For the speed regulation, the generalized predictive control strategy is used. Simulation results indicate that the proposed (GPDTC) is reliable and effective for the speed control of the PMSM over a wide range of operations of the PMSM drive.