提出了基于频域的多变量广义预测控制（MIMO-GPC）稳定性分析方法，推导了MIMO-GPC的闭环反馈结构，给出了基于闭环特征多项式的MIMO-GPC的稳定性判据和奈奎斯特稳定性判据。这些判据可作为MIMO-GPC控制器参数设计的重要依据。

A MIMO-GPC stability theorem based on frequency domain is presented in the paper. The closed-loop feedback structure of MIMO-GPC is proposed. Nyquist array methodology is used to analyze the stability of MIMO-GPC. The parameters of MIMO-GPC can be determined by stability criterion.