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动态矩阵控制（ＤＭＣ）的模型向量存在截断误差时会使系统产生动态偏差．截断误差越大，动态偏差亦越大，甚至造成系统不稳定．文中分析了产生动态偏差的机理，提出了一种根据截断误差大小选取不同位移矩阵来校正截断误差的方法，减小了截断误差对系统性能的影响．改进后的ＤＭＣ允许模型向量存在一定的截断误差，从而能以较小的建模时域或较高的采样频率实现高性能的ＤＭＣ．仿真结果表明，该方法几乎能完全消除模型向量截断误差的影响，适用于开环阶跃响应为Ｓ形的对象以及开环响应最后区段单调变化的对象．
Motion vector control (DMC) model vector truncation error will make the system produce dynamic deviation. The larger the truncation error, the greater the dynamic deviation, and even the instability of the system. In this paper, the mechanism of generating dynamic deviation is analyzed. A method to correct the truncation error by selecting different displacement matrices according to the size of truncation error is proposed. The influence of truncation error on system performance is reduced. The improved DMC allows certain truncation errors for the model vector, enabling high-performance DMC with a small modeling time or higher sampling frequency. The simulation results show that this method can almost eliminate the effect of truncation error of model vector and is suitable for the object with S-shaped open-loop step response and the monotone change of the last section of open-loop response.