Model Order Reduction for High Dimensional Linear Systems based on Rank-1 Incremental Proper Orthogonal Decomposition

被引：0

作者：

Xu, Chao ^{[1
]}

Schuster, Eugenio ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Control Sci & Engn, 38 Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

[2] Lehigh Univ, Dept Mech Engn, Bethlehem, PA 18015 USA

来源：

2011 AMERICAN CONTROL CONFERENCE | 2011年

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work considers a modified incremental proper orthogonal decomposition (iPOD) method and applications to model order reduction (MOR) of linear evolutionary distributed parameter systems. A recursive matrix transformation approach is proposed to obtain reduced order models from high-dimensional systems with less computational cost than the non-recursive case. A detailed analysis of the computational complexity is carried out to compare different numerical procedures. Simulation results based on the heat conduction process in a two dimensional container validate the effectiveness of the proposed method.

引用

下载

页码：2975 / 2981

页数：7

共 50 条

[1] Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
Lu, Kuan
Jin, Yulin
Chen, Yushu
Yang, Yongfeng
Hou, Lei
Zhang, Zhiyong
Li, Zhonggang
Fu, Chao
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2019, 123 (264-297) : 264 - 297
[2] Model Reduction for Nonlinear Multibody Systems Based on Proper Orthogonal- and Smooth Orthogonal Decomposition
Stadlmayr, Daniel
Witteveen, Wolfgang
NONLINEAR DYNAMICS, VOL 1, 2017, : 449 - 457
[3] Low-dimensional modeling of linear heat transfer systems using incremental the proper orthogonal decomposition method
Xu, Chao
Schuster, Eugenio
ASIA-PACIFIC JOURNAL OF CHEMICAL ENGINEERING, 2013, 8 (04) : 473 - 482
[4] Proper Orthogonal Decomposition-Based Model Order Reduction of Delayed PEEC Models
Khattak, Muhammad A.
Romano, Daniele
Antonini, Giulio
Ferranti, Francesco
2023 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, ICEAA, 2023, : 554 - 558
[5] Model Reduction of Population Balance Systems by Proper Orthogonal Decomposition
Mangold, Michael
Krasnyk, Mykhaylo
AT-AUTOMATISIERUNGSTECHNIK, 2012, 60 (09) : 561 - 573
[6] Proper Orthogonal Decomposition Model Order Reduction of Nonlinear IC Models
Verhoeven, A.
Striebel, M.
Rommes, J.
ter Maten, E. J. W.
Bechtold, T.
PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2008, 2010, 15 : 441 - +
[7] Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation
Opmeer, Mark R.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (02) : 472 - 477
[8] Proper Orthogonal Decomposition for Order Reduction of Permanent Magnet Machine Model
Farzamfar, M.
Rasilo, P.
Martin, F.
Belahcen, A.
2015 18TH INTERNATIONAL CONFERENCE ON ELECTRICAL MACHINES AND SYSTEMS (ICEMS), 2015, : 1945 - 1949
[9] Hyperspectral image noise reduction based on rank-1 tensor decomposition
Guo, Xian
Huang, Xin
Zhang, Liangpei
Zhang, Lefei
ISPRS JOURNAL OF PHOTOGRAMMETRY AND REMOTE SENSING, 2013, 83 : 50 - 63
[10] Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems
Lee, Chung-Hao
Chen, Jiun-Shyan
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 96 (10) : 599 - 627

← 1 2 3 4 5 →