A frequency weighted model order reduction technique and error bounds

被引：42

作者：

Imran, Muhammad ^{[1
]}

Ghafoor, Abdul ^{[1
]}

Sreeram, Victor ^{[2
]}

机构：

[1] NUST, Mil Coll Signals, Islamabad, Pakistan

[2] Univ Western Australia, Sch Elect Elect & Comp Engn, Crawley, WA 6009, Australia

来源：

AUTOMATICA | 2014年 / 50卷 / 12期

关键词：

Model reduction; Gramians; Frequency weighted; Balanced truncation; Error bounds; SYSTEMS;

D O I：

10.1016/j.automatica.2014.10.062

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 new frequency weighted technique for balanced model reduction is proposed. The proposed technique not only provides stable reduced order models for the case when both input and output weightings are included but also yields frequency response error bounds. The method is illustrated using numerical examples and the results are compared with other frequency weighted model reduction techniques. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：3304 / 3309

页数：6

共 50 条

[21] Development of Frequency Weighted Model Order Reduction Techniques for Discrete-Time One-Dimensional and Two-Dimensional Linear Systems With Error Bounds
Imran, Muhammad
Ahmad, Mian Ilyas
IEEE ACCESS, 2022, 10 : 15096 - 15117
[22] Model Reduction Techniques with Error Bounds
Imran, Muhammad
Awan, Mehmoona Javed
Ghafoor, Abdul
2017 13TH IEEE CONFERENCE ON AUTOMATION SCIENCE AND ENGINEERING (CASE), 2017, : 1510 - 1515
[23] Error bound for transfer function order reduction using frequency weighted balanced truncation
Kim, Sang Woo
Anderson, Brian D.O.
Madievski, Anton G.
Systems and Control Letters, 1995, 24 (03): : 183 - 192
[24] Order Reduction by Error Minimization Technique
Ramesh, K.
Nirmalkumar, A.
Gurusamy, G.
ICCN: 2008 INTERNATIONAL CONFERENCE ON COMPUTING, COMMUNICATION AND NETWORKING, 2008, : 535 - +
[25] Frequency weighted model reduction technique retaining Hankel singular values
Ghafoor, Abdul
Sreeram, Victor
Treasure, Richard
ASIAN JOURNAL OF CONTROL, 2007, 9 (01) : 50 - 56
[26] A Parametrized Controller Reduction Technique via a New Frequency Weighted Model Reduction Formulation
Houlis, Pantazis
Sreeram, Victor
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (05) : 1087 - 1093
[27] Development of an Improved Frequency Limited Model Order Reduction Technique and Error Bound for Discrete-Time Systems
Batool, Sammana
Imran, Muhammad
Imran, Dr Muhammad
Elahi, Ehsan
Maqbool, Ayesha
Gilani, Syed Amer Ahsan
RADIOENGINEERING, 2021, 30 (04) : 729 - 738
[28] Stability Preserving Model Reduction Technique and Error Bounds Using Frequency-Limited Gramians for Discrete-Time Systems
Imran, Muhammad
Ghafoor, Abdul
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2014, 61 (09) : 716 - 720
[29] LTV Model Reduction With Upper Error Bounds
Helmersson, Anders
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1450 - 1462
[30] MODEL-REDUCTION OF 2-D SYSTEMS WITH FREQUENCY ERROR-BOUNDS
ZHOU, KM
LI, YL
LEE, EB
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (02): : 107 - 110

← 1 2 3 4 5 →