将任意多项式矩阵变换为Smith规范形的通用程序及其应用  

A General Program for Transforming an Arbitrary Polynominal Matrix into Smith's Canonical Form and Its Application

作　　者：童明俶 邓亦仁[1] 幸晓珂[1] 

机构地区：[1]重庆建筑大学机电学院,重庆400045

出　　处：《重庆建筑大学学报》2000年第5期1-6,共6页Journal of Chongqing Jianzhu University

摘　　要：在用现代频域法分析和设计多变量控制系统时 ,常常需要将多项式矩阵变换为Smith规范形 ,这是一个十分复杂烦琐的计算过程。本文分析了将任意多项式矩阵变换为Smith规范形的一般步骤 ,讨论了编程中的处理方法和技巧 ,给出了将任意多项式矩阵变换为 Smith规范形的变换程序之 N -S流程图。通过两个变换及应用实例 ,表明该程序是正确的、简便的、实用的 ,并具有良好的通用性 ,对多变量系统的频域分析和设计具有一定的应用价值。To analyze and design multivariable control system by modern frequency domain method, there should be a transformation of an arbitrary polynominal matrix into Smith's canonical form. This paper discusses the treating method and technique in programming and gives a N-S flow diagram of program to transform an arbitrary polynominal matrix into Smith's canonical form. Two transformed and applied examples show, that the program is correct, simple, useful and has good suitability. It is applicable to frequency-domain analysis and design of multivariable system.

关 键 词：多项式矩阵 Smith规范形 现代频域法 通用程序 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]