Due to the need to control simultaneously torque and flux in a permanent magnet synchronous machine (PMSM), their predictive control is a multiobjective optimization problem (MOOP). To solve this problem, traditional predictive control uses the weighting factors to convert the MOOP into a single-object optimization problem. Based on the lexicographic method, a simple strategy without weighting factors called tolerant sequential model predictive control (TSMPC) is proposed. In the proposed method, the cost functions of torque and flux are, respectively, placed in two layers of the sequential structure. The voltage vectors satisfying the torque tolerance are selected as the candidates for the next layer. Then, the candidate that can minimize the flux cost function will be executed by the inverter. The advantages of the proposed TSMPC method are that it can avoid cumbersome weighting factor adjustment and directly set the tolerance value based on performance requirements. The feasibility and stability of the TSMPC strategy are validated by theoretical analysis, and the experimental results show that it has good performance.

中文翻译：

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永磁同步电机驱动的容错序列模型预测直接转矩控制

由于需要同时控制永磁同步电机 (PMSM) 中的转矩和磁通，它们的预测控制是一个多目标优化问题 (MOOP)。为了解决这个问题，传统的预测控制使用权重因子将MOOP转化为单目标优化问题。基于字典法，提出了一种无权重的简单策略，称为容忍序列模型预测控制（TSMPC）。在所提出的方法中，扭矩和通量的成本函数分别放置在顺序结构的两层中。满足扭矩容限的电压矢量被选为下一层的候选。然后，可以最小化通量成本函数的候选将由逆变器执行。所提出的TSMPC方法的优点是可以避免繁琐的加权因子调整，直接根据性能要求设置容差值。通过理论分析验证了TSMPC策略的可行性和稳定性，实验结果表明其具有良好的性能。