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A Singular Value Decomposition Based Closed Loop Stability Preserving Controller Reduction Method

Sou, Kin Cheong LU and Rantzer, Anders LU (2010) American Control Conference, 2010 In American Control Conference (ACC), 2010 p.1079-1084
Abstract
In this paper a controller reduction method which preserves closed loop stability is described. A Lyapunov inequality based sufficient condition is proposed in the search of the reduced controller. The reduced controller leads to a stable closed loop system with guaranteed approximation quality. Furthermore, the proposed problem can be formulated as a matrix approximation problem which can be solved efficiently using singular value decomposition. Numerical application examples are shown in the end to evaluate the generality of the proposed reduction method.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
American Control Conference (ACC), 2010
pages
1079 - 1084
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
American Control Conference, 2010
external identifiers
  • wos:000287187901077
  • scopus:77957764197
ISSN
0743-1619
ISBN
978-1-4244-7426-4
language
English
LU publication?
yes
id
5424312d-87af-479b-be6f-08d4ead38851 (old id 1918192)
date added to LUP
2011-05-13 08:50:47
date last changed
2018-05-29 12:01:31
@inproceedings{5424312d-87af-479b-be6f-08d4ead38851,
  abstract     = {In this paper a controller reduction method which preserves closed loop stability is described. A Lyapunov inequality based sufficient condition is proposed in the search of the reduced controller. The reduced controller leads to a stable closed loop system with guaranteed approximation quality. Furthermore, the proposed problem can be formulated as a matrix approximation problem which can be solved efficiently using singular value decomposition. Numerical application examples are shown in the end to evaluate the generality of the proposed reduction method.},
  author       = {Sou, Kin Cheong and Rantzer, Anders},
  booktitle    = {American Control Conference (ACC), 2010},
  isbn         = {978-1-4244-7426-4},
  issn         = {0743-1619},
  language     = {eng},
  pages        = {1079--1084},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {A Singular Value Decomposition Based Closed Loop Stability Preserving Controller Reduction Method},
  year         = {2010},
}