Data-driven model reduction by two-sided moment matching

被引：3

作者：

Mao, Junyu ^{[1
]}

Scarciotti, Giordano ^{[1
]}

机构：

[1] Imperial Coll London, Dept Elect & Elect Engn, London, England

来源：

AUTOMATICA | 2024年 / 166卷

关键词：

Model reduction; Data-driven; Moment matching; System identification; Time-domain; Two-sided; Linear systems; INTERPOLATION;

D O I：

10.1016/j.automatica.2024.111702

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 brief paper, we propose a time-domain data-driven method for model order reduction by two-sided moment matching for linear systems. An algorithm that asymptotically approximates a key interpolation matrix from time-domain samples of the so-called two-sided interconnection is provided. Exploiting this estimated interpolation matrix, we determine the unique reduced-order model of order v, which asymptotically matches the moments at 2v distinct interpolation points. Furthermore, we discuss the impact that certain disturbances and data distortions may have on the algorithm. Finally, we illustrate the use of the proposed methodology by means of a benchmark model. (c) 2024 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：9

共 31 条

[1] An overview of approximation methods for large-scale dynamical systems [J].

Antoulas, AC .

ANNUAL REVIEWS IN CONTROL, 2005, 29 (02) :181-190

[2]

Antoulas AthanasiosC., 2000, A survey of model reduction methods for large-scale systems

[3] Model reduction by moment matching, steady-state response and projections [J].

Astolfi, A. .

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :5344-5349

[4] Model Reduction by Moment Matching for Linear and Nonlinear Systems [J].

Astolfi, Alessandro .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2321-2336

[5]

Beattie C, 2012, IEEE DECIS CONTR P, P4953, DOI 10.1109/CDC.2012.6426344

[6]

Burohman A.M., 2023, IEEE Transactions on Automatic Control

[7]

BUROHMAN A. M., 2020, arXiv

[8] Generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint [J].

Byrnes, CI ;

Georgiou, TT ;

Lindquist, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (06) :822-839

[9] A greedy data collection scheme for linear dynamical systems [J].

Cherifi, Karim ;

Goyal, Pawan ;

Benner, Peter .

DATA-CENTRIC ENGINEERING, 2022, 3 (02)

[10] The interpolation problem with a degree constraint [J].

Georgiou, TT .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (03) :631-635

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