A BALANCING METHOD FOR REDUCED ORDER MODELING OF UNSTABLE SYSTEMS

被引：2

作者：

PRAKASH, R

RAO, SV

机构：

[1] Department of Electrical Engineering University of Missouri - Rolla, Rolla

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1990年 / 14卷

关键词：

REDUCED ORDER MODELING; FREQUENCY DOMAIN; GRAMIANS; BALANCING; UNSTABLE SYSTEMS;

D O I：

10.1016/0895-7177(90)90219-D

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Moore's balancing method of model reduction has many attractive properties and is used widely in practice. However, this method suffers from the drawback that it is not applicable for unstable systems. This paper introduces a balancing method of model reduction to overcome this problem. The proposed technique obtains the reduced order model by balancing and truncating frequency domain controllability and observability Gramians. Analytical treatment is given for associated properties of the Gramians, and the balancing and truncation steps of model reduction. A numerical example is used to demonstrate the new approach.

引用

页码：418 / 423

页数：6

共 5 条

[1]

ENNS DF, 1984, THESIS STANFORD U

[2] ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].