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In this paper, a constrained optimization based approach is proposed for the switching control of inverters. This method achieves the best tracking performance of three phase currents, or equivalently the best tracking of torque command. This approach may be viewed as an improved SVM (space vector modulation) method. Detailed performance analysis proves that in the overmodulation region, a relative ratio of improvement up to 15.4% is achieved over SVM. Meanwhile, the computation complexity is the same as SVM. Further, numerous simulations verify that the proposed approach outperforms both PWM and SVM in the overmodulation region.