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Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Andersen, Martin S.; Hansson, Anders; Pakazad, Sina K. and Rantzer, Anders LU (2012) 51st IEEE Conference on Decision and Control, 2012 In IEEE 51st Annual Conference on Decision and Control (CDC), 2012 p.1548-1553
Abstract
This paper considers robust stability analysis of a large network of interconnected uncertain systems. To avoid analyzing the entire network as a single large, lumped system, we model the network interconnections with integral quadratic constraints. This approach yields a sparse linear matrix inequal- ity which can be decomposed into a set of smaller, coupled linear matrix inequalities. This allows us to solve the analysis problem efficiently and in a distributed manner. We also show that the decomposed problem is equivalent to the original robustness analysis problem, and hence our method does not introduce additional conservativeness.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
IEEE 51st Annual Conference on Decision and Control (CDC), 2012
pages
1548 - 1553
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
51st IEEE Conference on Decision and Control, 2012
external identifiers
  • scopus:84874278118
ISSN
0743-1546
ISBN
978-1-4673-2065-8
DOI
10.1109/CDC.2012.6426306
project
LCCC
language
English
LU publication?
yes
id
2ff2200f-99d8-426d-b93e-0ae8f5a6e150 (old id 3625958)
date added to LUP
2013-03-27 11:16:23
date last changed
2017-07-30 04:07:44
@inproceedings{2ff2200f-99d8-426d-b93e-0ae8f5a6e150,
  abstract     = {This paper considers robust stability analysis of a large network of interconnected uncertain systems. To avoid analyzing the entire network as a single large, lumped system, we model the network interconnections with integral quadratic constraints. This approach yields a sparse linear matrix inequal- ity which can be decomposed into a set of smaller, coupled linear matrix inequalities. This allows us to solve the analysis problem efficiently and in a distributed manner. We also show that the decomposed problem is equivalent to the original robustness analysis problem, and hence our method does not introduce additional conservativeness.},
  author       = {Andersen, Martin S. and Hansson, Anders and Pakazad, Sina K. and Rantzer, Anders},
  booktitle    = {IEEE 51st Annual Conference on Decision and Control (CDC), 2012},
  isbn         = {978-1-4673-2065-8},
  issn         = {0743-1546},
  language     = {eng},
  pages        = {1548--1553},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Distributed Robust Stability Analysis of Interconnected Uncertain Systems},
  url          = {http://dx.doi.org/10.1109/CDC.2012.6426306},
  year         = {2012},
}