一类工业过程预测控制的闭环分析

CLOSED-LOOP ANALYSIS OF PREDICTIVE CONTROL FOR A CLASS OF INDUSTRIAL PROCESSES

该文定量分析了一类典型工业过程预测控制系统的闭环性能；文中首先基于广义动态矩阵控制系统的内模控制结构和控制器的最小化形式，导出了一阶惯性加时滞的典型对象预测控制的闭环传递函数，在此基础上，给出了预测控制中主要设计参数与闭环动态响应和扰动抑制时间的解析关系以及关于闭环系统鲁棒性的三个定理，提出了对增益或时滞失配允许范围的搜索算法，从而为分析和设计预测控制系统提供了理论依据．

In this paper, the closed-loop performances of predictive control systems for a class of industrial processes are quantitatively analysed. Based on the internal Model Control (IMC) structure and the minimal form of the controller in the Generalized Dynamic Matrix Control (GDMC) systems, the closed-loop transfer functions of predictive control for typical first order plants with time delay are introduced. The analytical relationships between the main design parameters and the closed-loop dynamics as well as the disturbance rejection time are given and three theorems on closed-loop robustness are presented. Some search algorithms are proposed to find the admissible ranges for gain or time delay mismatches. The new results in the paper provide theoretical foundations for analysing and designing predictive control systems.