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Controller reduction via minimum rank matrix approximation

Sou, Kin Cheong LU and Rantzer, Anders LU (2012) In Automatica 48(6). p.1069-1076
Abstract
In this paper a controller reduction method for discrete-time linear time-invariant systems is described. Using the bounded-real lemma, the proposed method generates reduced controllers with closed loop stability and H-infinity norm performance guarantee. Information of the full controller is used as a basis for reduction using singular value decomposition. This is different from traditional model reduction schemes such as weighted balanced truncation. Numerical assessment of the proposed method is given in the end of the paper. (C) 2012 Elsevier Ltd. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Model reduction, Singular value decomposition
in
Automatica
volume
48
issue
6
pages
1069 - 1076
publisher
Pergamon
external identifiers
  • wos:000304508600006
  • scopus:84860296080
ISSN
0005-1098
DOI
10.1016/j.automatica.2012.03.011
language
English
LU publication?
yes
id
f2ed5a0c-7642-401b-b799-9ba25e153256 (old id 2906469)
date added to LUP
2012-07-23 16:20:03
date last changed
2017-01-01 05:50:18
@article{f2ed5a0c-7642-401b-b799-9ba25e153256,
  abstract     = {In this paper a controller reduction method for discrete-time linear time-invariant systems is described. Using the bounded-real lemma, the proposed method generates reduced controllers with closed loop stability and H-infinity norm performance guarantee. Information of the full controller is used as a basis for reduction using singular value decomposition. This is different from traditional model reduction schemes such as weighted balanced truncation. Numerical assessment of the proposed method is given in the end of the paper. (C) 2012 Elsevier Ltd. All rights reserved.},
  author       = {Sou, Kin Cheong and Rantzer, Anders},
  issn         = {0005-1098},
  keyword      = {Model reduction,Singular value decomposition},
  language     = {eng},
  number       = {6},
  pages        = {1069--1076},
  publisher    = {Pergamon},
  series       = {Automatica},
  title        = {Controller reduction via minimum rank matrix approximation},
  url          = {http://dx.doi.org/10.1016/j.automatica.2012.03.011},
  volume       = {48},
  year         = {2012},
}