Some frequency-domain approaches to the model reduction of delay systems

被引：41
作者：
Partington, JR [1 ]
机构：
[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
来源：
ANNUAL REVIEWS IN CONTROL | 2004年 / 28卷 / 01期
关键词：
delay system; model reduction; frequency domain; Fourier series; Pade approximant; inner function; Hankel operator; wavelet;
D O I：
10.1016/j.arcontrol.2004.01.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We review a selection of techniques which have been found effective in the H-2 and H-infinity model reduction of delay systems, modeled using transfer functions. These include Fourier-Laguerre series, Pade approximants, shift-based approximations, Malmquist bases, partial fractions, wavelet-based techniques, Hankel-norm. approximants and truncated state-space realizations. Some discussion of achievable error bounds is included. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：65 / 73
页数：9
相关论文
共 51 条
[1]  
ADAMYAN VM, 1971, MAT SBORNIK, V86, P34
[2]   On the approximation of delay elements by feedback [J].
Batlle, C ;
Miralles, A .
AUTOMATICA, 2000, 36 (05) :659-664
[3]   Approximating delay elements by feedback [J].
Beghi, A ;
Lepschy, A ;
Viaro, U .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (09) :824-828
[4]  
Bellman R., 1963, DIFFERENTIAL DIFFERE
[5]  
BELLMAN R, 1995, DIFFERENTIAL DIFFERE
[6]  
Curtain RF, 1995, An Introduction to Infinite-Dimensional Linear Systems Theory
[7]  
ENNS DF, 1984, THESIS STANFORD U
[8]   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
[9]   ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].
GLOVER, K .
INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1115-1193
[10]   RATIONAL APPROXIMATION OF A CLASS OF INFINITE-DIMENSIONAL SYSTEMS .1. SINGULAR-VALUES OF HANKEL-OPERATORS [J].
GLOVER, K ;
LAM, J ;
PARTINGTON, JR .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1990, 3 (04) :325-344
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