Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation

被引：16

作者：

Opmeer, Mark R. ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2012年 / 57卷 / 02期

关键词：

Model/controller reduction; linear systems; LINEAR-SYSTEMS; TRUNCATION;

D O I：

10.1109/TAC.2011.2164018

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that model order reduction by rational interpolation (also known as moment matching or rational Krylov) can be seen as the special case of balanced Proper Orthogonal Decomposition where all the snapshots are retained and particular numerical procedures are used to obtain the snapshots.

引用

页码：472 / 477

页数：6

共 12 条

[1] [Anonymous], 2005, ADV DES CONTROL
[2] Antoulas AC, 2010, EFFICIENT MODELING AND CONTROL OF LARGE-SCALE SYSTEMS, P3, DOI 10.1007/978-1-4419-5757-3_1
[3] IMPLICIT RUNGE-KUTTA PROCESSES
BUTCHER, JC
[J]. MATHEMATICS OF COMPUTATION, 1964, 18 (85) : 50 - &
[4] Model reduction of MIMO systems via tangential interpolation
Gallivan, K
Vandendorpe, A
Van Dooren, P
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2004, 26 (02) : 328 - 349
[5] Sylvester equations and projection-based model reduction
Gallivan, K
Vandendorpe, A
Van Dooren, P
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 162 (01) : 213 - 229
[6] Model reduction via truncation: an interpolation point of view
Gallivan, K
Vandendorpe, A
Van Dooren, P
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 375 : 115 - 134
[7] Hammer P. C., 1955, Math. Tables Aids Comput, V9, P92, DOI DOI 10.2307/2002064
[8] LI JR, 2000, THESIS MIT CAMBRIDGE
[9] PRINCIPAL COMPONENT ANALYSIS IN LINEAR-SYSTEMS - CONTROLLABILITY, OBSERVABILITY, AND MODEL-REDUCTION
MOORE, BC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) : 17 - 32
[10] Poor man's TBR: A simple model reduction scheme
Phillips, JR
Silveira, LM
[J]. IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2005, 24 (01) : 43 - 55

← 1 2 →