MULTIVARIABLE SYSTEM SIMPLIFICATION USING MOMENT MATCHING AND OPTIMIZATION

被引：4

作者：

TAIWO, O ^{[1
]}

KREBS, V ^{[1
]}

机构：

[1] UNIV KARLSRUHE, INST REGELUNGS & STEURERUNGSSYST, D-76128 KARLSRUHE, GERMANY

来源：

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 1995年 / 142卷 / 02期

关键词：

MULTIVARIABLE CONTROL SYSTEMS;

D O I：

10.1049/ip-cta:19951738

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A generalised formulation of the moment matching problem, which encompasses previous formulations and is applicable to non-square continuous and discrete systems, is presented. The formulation entails points about which moments can be matched. These points can be specified either by trial and error or by means of optimisation, so that the reduced model has desirable properties such as stability and accuracy. Novel properties of Pade approximants for non-square systems are elucidated, and details of the approach are illustrated by means of examples.

引用

页码：103 / 110

页数：8

共 40 条

[1]

[Anonymous], 1983, LARGE SCALE SYSTEMS

[2] TIME MOMENT AND PADE-APPROXIMATION METHODS APPLIED TO THE ORDER REDUCTION OF MIMO LINEAR-SYSTEMS [J].

BANDEKAS, DV ;

PAPADOPOULOS, DP .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (03) :521-538

[3] ON PADE-APPROXIMATION FOR MULTIVARIABLE SYSTEMS [J].

BANDYOPADHYAY, B ;

RAO, A ;

SINGH, H .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (04) :638-639

[4]

BANDYOPADHYAY B, 1987, IEEE T CAS, V34, P92

[5] MINIMAL PADE MODEL-REDUCTION FOR MULTIVARIABLE SYSTEMS [J].

BISTRITZ, Y ;

SHAKED, U .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1984, 106 (04) :293-299

[6] PADE TECHNIQUES FOR MODEL-REDUCTION IN LINEAR-SYSTEM THEORY - A SURVEY [J].

BULTHEEL, A ;

VANBAREL, M .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1986, 14 (03) :401-438

[7] MODEL REDUCTION OF MULTIVARIABLE CONTROL-SYSTEMS BY MEANS OF MATRIX CONTINUED FRACTIONS [J].

CHEN, CF .

INTERNATIONAL JOURNAL OF CONTROL, 1974, 20 (02) :225-238

[8]

COOK PA, 1981, IEEE C PUBLI, V194, P206

[9] LINEAR-SYSTEM REDUCTION USING APPROXIMATE MOMENT MATCHING [J].

DAVIDSON, AM ;

WALTERS, IR .

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1988, 135 (02) :73-78

[10] APPROXIMATION OF DELAY SYSTEMS - A CASE-STUDY [J].

GLADER, C ;

HOGNAS, G ;

MAKILA, PM ;

TOIVONEN, HT .

INTERNATIONAL JOURNAL OF CONTROL, 1991, 53 (02) :369-390

← 1 2 3 4 →