多变量最小方差调节器的改进

AN IMPROVEMENT UPON THE MULTIVARIABLE MINIMUM VARIANCE REGULATOR

本文利用多变量线性系统和多项式矩阵的有关理论对多变量最小方差调节器进行了理论分析和讨论,使之在理论上更趋完善。在求取方法上得到了一种相对简单、合理的求解步骤。本文还导出了一类多变量最小方差调节器的简化算法,该算法与单变量情况完全类似,是一种实用算法,可使计算大为简化,给出了计算实例。最后,对系统的闭环特性进行了分析。

Theoretical analyses and related discussions are under taken on the mul t i variable minimum variance regulator, so as to render it more sound theoretically, resulting in simpler and more resonable steps in solution, making use of the theory of mul t i variable linear systems.A simple formula for the multivariable minimum variance regulator is also deduced which under certain conditions corresponds completely to that of a single variable. with this useful method , the amount of calculation can be reduced remarkably. This is shown with an example . An analysis on the proprety of the closed-loop system is finaly given.