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
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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3625958
- author
- Andersen, Martin S.
; Hansson, Anders
; Pakazad, Sina K.
and Rantzer, Anders
LU
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 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
- conference location
- Maui, Hawaii, United States
- conference dates
- 2012-12-10 - 2012-12-13
- 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
- 2016-04-01 13:48:28
- date last changed
- 2023-09-03 05:19:36
@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 = {{https://lup.lub.lu.se/search/files/3602870/3625960.pdf}},
doi = {{10.1109/CDC.2012.6426306}},
year = {{2012}},
}