###### Abstract
Recently, the emergence of the MPTC has attracted more and more attention from academia and industry. It is considered an effective alternative to the classical magnetic field-oriented control [16]. This has been validated in [17].The results indicate that MPTC achieves steady-state performance similar to FOC but with faster dynamic response. Furthermore, it provides superior current quality and lower computation time. Additionally, MPTC allows the design of cost functions to assess the impact of voltage vectors [18]. These cost functions offer flexibility, making it easy to incorporate system constraints. In [19], the torque, stator flux, and neutral point potential of MPTC were kept more accurately within their hysteresis bounds while pursuing the lowest switching frequency. MPTC can still combine multiple control objectives [20], thereby achieving comprehensive system performance optimization. Regardless of the above advantages, the MPTC faces several challenges [21]. The computational burden increases exponentially with the prediction steps, so long-horizon predictions are difficult to perform in real time for commonly used numerical processors. Secondly, one optimal vector is applied to the PMSM in each period, and the control period is confined by huge computation, which leads to a high torque ripple. Thirdly, the switching frequency, torque, and flux linkage are adjusted by weighting factors of the cost function, so it is difficult to achieve a low switching frequency with a low torque ripple. Researchers have proposed various methods to decrease calculations, torque ripple, and switching frequency during the last decade. The optimal voltage vector is preselected and stored in a lookup table to reduce the computational effort [22], while the memory occupation grows with increased prediction steps and variables following exponential law. [PERSON]. [23] adopts a second optimization and a new simplified search strategy to make the output voltage vector closer to the actual optimal solution. In this case, a more suitable voltage vector is applied in each sampling period. The simplified search strategy reduces calculation time by cutting down the number of candidate voltage vectors without affecting drive performance. The computational complexity is reduced by setting the switching table, and ripples are reduced under the premise of satisfying torque performance without increasing sampling time [24]. [PERSON] al. [25] used the DeadBeat (DB) technology to optimize the selection process of voltage vectors. The method only needs to compute three voltage vectors at each prediction step. Various solutions have been proposed to decrease torque ripple, e.g., the zero-voltage vector combined with active voltage vectors [26], the combination of two active voltage vectors [27], the graph algorithm to select the predicted current error for each sampling period [28], switched reluctance motors with low measurement effort [29], and the multiple vector-based model-predictive control [30]. Typical solutions to reduce the switching frequency of the MPTC include adjacent voltage vectors selected in each step [31], control current loop [32], virtual three-level MPFC (V3-MPFC) [33], and a new MPTC strategy based on the virtual voltage vector mode, that is, the cost function is used to optimize the switching mode between two adjacent control cycles in real time [34]. Although the aforementioned methods can separately reduce calculations, torque ripple, or switching frequency, it is difficult to improve these targets simultaneously. An improved MPTC model was established based on the DTC and MPC in the work. A multi-objective screening method was used to replace the selection of weighting factors in the cost function, which avoided unnecessary simulations and experiments when weighting factors were determined. The method used the genetic algorithm, and the relationship between all objective functions was equivalent. Besides, electromagnetic torque and the stator magnetic flux linkage were used as tracking targets.