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
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
收藏
页码:3304 / 3309
页数:6
相关论文
共 50 条
  • [31] ERROR BOUND FOR TRANSFER-FUNCTION ORDER REDUCTION USING FREQUENCY WEIGHTED BALANCED TRUNCATION
    KIM, SW
    ANDERSON, BDO
    MADIEVSKI, AG
    SYSTEMS & CONTROL LETTERS, 1995, 24 (03) : 183 - 192
  • [32] MULTIVARIABLE FREQUENCY-WEIGHTED ORDER REDUCTION
    BACON, BJ
    SCHMIDT, DK
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1989, 12 (01) : 97 - 107
  • [33] Frequency response error bounds for time-weighted balanced truncation
    Sreeram, V
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 3330 - 3331
  • [34] A note on 'improved results on frequency weighted balanced truncation and error bounds'
    Sreeram, V.
    Muda, W. M. Wan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (17) : 3057 - 3060
  • [35] Improved results on frequency-weighted balanced truncation and error bounds
    Sreeram, V.
    Sahlan, S.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (11) : 1195 - 1211
  • [36] A new frequency weighted Fourier-based method for model order reduction
    Rydel, Marek
    Stanislawski, Rafal
    AUTOMATICA, 2018, 88 : 107 - 112
  • [37] Accuracy Enhancing Model Reduction Technique for Weighted and Limited Interval Systems with Error Bound
    Sammana Batool
    Muhammad Imran
    Muhammad Imran
    Mian Ilyas Ahmad
    Journal of Control, Automation and Electrical Systems, 2022, 33 : 793 - 805
  • [38] Accuracy Enhancing Model Reduction Technique for Weighted and Limited Interval Systems with Error Bound
    Batool, Sammana
    Imran, Muhammad
    Imran, Muhammad
    Ahmad, Mian Ilyas
    JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2022, 33 (03) : 793 - 805
  • [39] AN IMPROVED PARAMETERIZED CONTROLLER REDUCTION TECHNIQUE VIA NEW FREQUENCY WEIGHTED MODEL REDUCTION FORMULATION
    Jazlan, Ahmad
    Houlis, Pantazis
    Sreeram, Victor
    Togneri, Roberto
    ASIAN JOURNAL OF CONTROL, 2017, 19 (06) : 1920 - 1930
  • [40] A new frequency-weighted optimal Hankel norm model reduction and an error bound
    Wang, G
    Sreeram, V
    Liu, WQ
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 2185 - 2188