一类复杂非线性过程的广义一般模型控制

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。

Generalized generic model control of a class of complex nonlinear processes

The basic principle of generic model control (GMC) is firstly introduced, and the necessary condition of applying GMC method is presented. Furthermore, in order to overcome the disadvantage of GMC, i.e., it can only apply to the processes with relative order of 1, based on Lie derivative, we propose to let the r th derivative of the process output follow the given reference trajectory, to get the control law expression through solving an optimization problem. Thereby, a new control method of generalized generic model control (GGMC) is developed by generalizing the GMC algorithm to complex processes with the relative order larger than 1. Computer simulation results are satisfactory, which show that the proposed method can be used to control complex nonlinear processes. When approximate linear model is used, the control performance of the proposed method is similar to that of model predictive control (MPC), while the computation load is relatively reduced.