Improved Results on Frequency Weighted Balanced Truncation

被引:6
作者
Sreeram, Victor [1 ]
Sahlan, Shafishuhaza [1 ]
机构
[1] Univ Western Australia, Sch Elect Elect & Comp Engn, 35 Stirling Hwy, Crawley, WA 6009, Australia
来源
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词
MODEL-REDUCTION;
D O I
10.1109/CDC.2009.5400010
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we present some new results on frequency weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency weighted balanced truncation technique [7]. The reduced order models which are guaranteed to be stable in case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. A numerical example and comparison with other well-known techniques show the effectiveness of the proposed technique.
引用
收藏
页码:3250 / 3255
页数:6
相关论文
共 14 条
[1]   CONTROLLER REDUCTION - CONCEPTS AND APPROACHES [J].
ANDERSON, BDO ;
LIU, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :802-812
[2]  
ANTOULAS A. C., 2005, ADV DES CONTROL, DOI 10.1137/1.9780898718713
[3]  
Enns D. F., 1984, Proceedings of the 23rd IEEE Conference on Decision and Control (Cat. No. 84CH2093-3), P127
[4]   Partial-fraction expansion based frequency weighted model reduction technique with error bounds [J].
Ghafoor, Abdul ;
Sreeram, Victor .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (10) :1942-1948
[5]   A survey of model reduction by balanced truncation and some new results [J].
Gugercin, S ;
Antoulas, AC .
INTERNATIONAL JOURNAL OF CONTROL, 2004, 77 (08) :748-766
[6]   Error bound for transfer function order reduction using frequency weighted balanced truncation [J].
Kim, Sang Woo ;
Anderson, Brian D.O. ;
Madievski, Anton G. .
Systems and Control Letters, 1995, 24 (03) :183-192
[7]  
LIN CA, 1992, CONTR-THEOR ADV TECH, V8, P341
[9]   An improved frequency weighted balancing related technique with error bounds [J].
Sreeram, V .
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :3084-3089
[10]  
SREERAM V, 1995, PROCEEDINGS OF THE 1995 AMERICAN CONTROL CONFERENCE, VOLS 1-6, P4004