Robust Stability Analysis of Sparsely Interconnected Uncertain Systems
Andersen, Martin S. ; Pakazad, Sina Khoshfetrat ; Hansson, Anders and Rantzer, Anders LU
(2014)
In IEEE Transactions on Automatic Control
59(8).
p.2151-2156
- Abstract
- In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis of such systems can be performed by solving a set of sparse linear matrix inequalities. We also show that a sparse formulation of the analysis problem is equivalent to the classical formulation of the robustness analysis problem and hence does not introduce any additional conservativeness. The sparse formulation of the analysis problem allows us to apply methods that rely on efficient sparse factorization techniques, and our numerical results illustrate the effectiveness of this approach compared to... (More)
- In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis of such systems can be performed by solving a set of sparse linear matrix inequalities. We also show that a sparse formulation of the analysis problem is equivalent to the classical formulation of the robustness analysis problem and hence does not introduce any additional conservativeness. The sparse formulation of the analysis problem allows us to apply methods that rely on efficient sparse factorization techniques, and our numerical results illustrate the effectiveness of this approach compared to methods that are based on the standard formulation of the analysis problem. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4611316
- author
- Andersen, Martin S.
; Pakazad, Sina Khoshfetrat
; Hansson, Anders
and Rantzer, Anders
LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Automatic Control
- volume
- 59
- issue
- 8
- pages
- 2151 - 2156
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000342923700012
- scopus:84905165398
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2014.2305934
- project
- LCCC
- language
- English
- LU publication?
- yes
- id
- 78b63de0-8980-47e1-9ef2-970d26205e19 (old id 4611316)
- date added to LUP
- 2016-04-01 14:35:12
- date last changed
- 2023-11-13 09:15:08
@article{78b63de0-8980-47e1-9ef2-970d26205e19,
abstract = {{In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis of such systems can be performed by solving a set of sparse linear matrix inequalities. We also show that a sparse formulation of the analysis problem is equivalent to the classical formulation of the robustness analysis problem and hence does not introduce any additional conservativeness. The sparse formulation of the analysis problem allows us to apply methods that rely on efficient sparse factorization techniques, and our numerical results illustrate the effectiveness of this approach compared to methods that are based on the standard formulation of the analysis problem.}},
author = {{Andersen, Martin S. and Pakazad, Sina Khoshfetrat and Hansson, Anders and Rantzer, Anders}},
issn = {{0018-9286}},
language = {{eng}},
number = {{8}},
pages = {{2151--2156}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Automatic Control}},
title = {{Robust Stability Analysis of Sparsely Interconnected Uncertain Systems}},
url = {{https://lup.lub.lu.se/search/files/22837070/andersen_etal2014ieeeac.pdf}},
doi = {{10.1109/TAC.2014.2305934}},
volume = {{59}},
year = {{2014}},
}