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介绍了一般模型控制（ＧＭＣ）的基本原理，给出了ＧＭＣ方法简单实用的必要条件。针对ＧＭＣ方法只适于相对阶ｒ为１的简单过程的缺点，采用Ｌｉｅ导数的概念，令过程输出的ｒ阶导数的轨迹为事先设定的标称轨迹，通过解优化问题得到控制律表达式，把ＧＭＣ方法推广至相对阶ｒ大于１的复杂多输入多输出过程，从而提出了一种广义一般模型控制（ＧＧＭＣ）方法。仿真结果表明，提出的方法能应用于相对阶ｒ大于１的复杂非线性过程的控制，当采用线性近似模型时，其控制性能与模型预测控制（ＭＰＣ）相近，而计算量则有所降低。
The basic principle of general model control (GMC) is introduced, and the necessary and sufficient conditions of GMC method are given. The GMC method is only suitable for the shortcomings of the simple process with the relative order r of 1. Adopting the concept of the Lie derivative, the locus of the r-order derivative of the process output is a preset nominal locus, and the control law expression is obtained by solving the optimization problem , The GMC method is extended to the complex multi-input and multi-output process whose relative order r is greater than 1, so a generalized general model control (GGMC) method is proposed. The simulation results show that the proposed method can be applied to the control of complex nonlinear processes with r> 1, and its control performance is similar to MPC when the linear approximation is used.