Krylov-based order reduction using Laguerre series expansion

被引:8
|
作者
Eid, Rudy [1 ]
Salimbahrami, Behnam [1 ]
Lohmann, Boris [1 ]
机构
[1] Tech Univ Munich, D-8046 Garching, Germany
关键词
order reduction; Laguerre series; Krylov subspace;
D O I
10.1080/13873950701844246
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.
引用
收藏
页码:435 / 449
页数:15
相关论文
共 50 条
  • [1] Automated and efficient order selection in Krylov-based model order reduction
    Bazaz, Mohammad Abid
    Mashuq-un-Nabi
    Janardhanan, S.
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2013, 18 (04) : 332 - 340
  • [2] On the Choice of an Optimal Interpolation Point in Krylov-Based Order Reduction
    Salimbahrami, Behnam
    Eid, Rudy
    Lohmann, Boris
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4209 - 4214
  • [3] KRYLOV-BASED MODEL ORDER REDUCTION OF TIME-DELAY SYSTEMS
    Michiels, Wim
    Jarlebring, Elias
    Meerbergen, Karl
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2011, 32 (04) : 1399 - 1421
  • [4] Inexact solves in krylov-based model reduction
    Beattie, Christopher A.
    Gugercin, Serkan
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 3405 - 3411
  • [5] Krylov-based model reduction of second-order systems with proportional damping
    Beattie, Christopher A.
    Gugercin, Serkan
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 2278 - 2283
  • [6] Krylov-based controller reduction for large-scale systems
    Gugercin, S
    Antoulas, AC
    Beattie, CA
    Gildin, E
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3074 - 3077
  • [7] Laguerre Expansion Series Based Reduced Order Interval Systems
    Samuel, Elizabeth Rita
    Deveerasetty, Kranthi Kumar
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (06) : 2022 - 2026
  • [8] Model reduction of bilinear systems based on Laguerre series expansion
    Wang, Xiaolong
    Jiang, Yaolin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (03): : 1231 - 1246
  • [9] Krylov-based minimization for optimal H2 model reduction
    Beattie, Christopher A.
    Gugercin, Serkan
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 5714 - 5719
  • [10] A posteriori error estimators for linear reduced-order models using Krylov-based integrators
    Amsallem, D.
    Hetmaniuk, U.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2015, 102 (05) : 1238 - 1261