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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)
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author
organization
publishing date
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
2014-09-03 09:54:19
date last changed
2017-11-05 04:11:35
@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          = {http://dx.doi.org/10.1109/TAC.2014.2305934},
  volume       = {59},
  year         = {2014},
}