ORDER REDUCTION OF MULTI-TIME SCALE SYSTEMS USING BOND GRAPHS, THE RECIPROCAL SYSTEM AND THE SINGULAR PERTURBATION METHOD

被引：26

作者：

DAUPHINTANGUY, G ^{[1
]}

BORNE, P ^{[1
]}

LEBRUN, M ^{[1
]}

机构：

[1] LAB AUTOMAT IND,BAT 303-20,AVE EINSTEIN,F-69621 VILLEURBANNE,FRANCE

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1985年 / 319卷 / 1-2期

关键词：

MATHEMATICAL TECHNIQUES - Perturbation Techniques;

D O I：

10.1016/0016-0032(85)90071-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The singular perturbation method applied to multi-time scale processes enables the reduction of dimensionality by considering only one part of the system - the slow or the fast part - depending on the frequency domain of interest. The fast and slow dynamics of bond graph models can be estimated by determination of causal loop-gains.

引用

页码：157 / 171

页数：15

共 11 条

[1] DAUPHINTANGUY G, 1982, SEP C IASTED MEC 82
[2] DAUPHINTANGUY G, 1983, THESIS LILLE
[3] DAUPHINTANGUY G, 1983, P C IASTED AI 83 LIL, P137
[4] DAUPHINTANGUY G, 1982, OCT IEEE INT LSS S V, P190
[5] FOSSARD AJ, 1982, RAIRO-AUTOM-SYST ANA, V16, P5
[6] KARNOPP D, 1981, SIMULATION, P183
[7] SINGULAR PERTURBATIONS AND ORDER REDUCTION IN CONTROL-THEORY - OVERVIEW
KOKOTOVIC, PV
OMALLEY, RE
SANNUTI, P
[J]. AUTOMATICA, 1976, 12 (02) : 123 - 132
[8] REDUCTION OF MODELS OF LARGE-SCALE LUMPED STRUCTURES USING NORMAL MODES AND BOND GRAPHS
MARGOLIS, DL
YOUNG, GE
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1977, 304 (01): : 65 - 79
[9] Rosenberg R. C., 1971, T ASME, V93, P36
[10] SOLVABILITY OF BOND GRAPH JUNCTION STRUCTURES WITH LOOPS
ROSENBERG, RC
ANDRY, AN
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1979, 26 (02): : 130 - 137

← 1 2 →