Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Martin S. Andersen; Anders Hansson; Sina K. Pakazad; Anders Rantzer

doi:10.1109/CDC.2012.6426306

Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Martin S. Andersen, Anders Hansson, Sina K. Pakazad, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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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.

Original language	English
Title of host publication	IEEE 51st Annual Conference on Decision and Control (CDC), 2012
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	1548-1553
ISBN (Print)	978-1-4673-2065-8
DOIs	https://doi.org/10.1109/CDC.2012.6426306
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, 2012 - Maui, Hawaii, Maui, Hawaii, United States Duration: 2012 Dec 10 → 2012 Dec 13 Conference number: 51 http://www.ieeecss.org/CAB/conferences/cdc2012/

Publication series

Name
ISSN (Print)	0743-1546

Conference

Conference	51st IEEE Conference on Decision and Control, 2012
Abbreviated title	cdc2012
Country/Territory	United States
City	Maui, Hawaii
Period	2012/12/10 → 2012/12/13
Internet address	http://www.ieeecss.org/CAB/conferences/cdc2012/

Subject classification (UKÄ)

Control Engineering

Access to Document

10.1109/CDC.2012.6426306

06426306

LCCC
Holmqvist, A. (Researcher), Andersson, N. (Researcher), Cervin, A. (Researcher), Mannesson, A. (Researcher), Gattami, A. (Researcher), Ghulchak, A. (Researcher), Papadopoulos, A. V. (Researcher), Rantzer, A. (Researcher), Robertsson, A. (Researcher), Sootla, A. (Researcher), THEORIN, A. (Researcher), Bernhardsson, B. (Researcher), Olofsson, B. (Researcher), Wittenmark, B. (Researcher), Grussler, C. (Researcher), Johnsson, C. (Researcher), Madjidian, D. (Researcher), Johannesson, E. (Researcher), Magnusson, F. (Researcher), Ståhl, F. (Researcher), Como, G. (Researcher), Chasparis, G. (Researcher), Turesson, G. (Researcher), Dressler, I. (Researcher), Åkesson, J. (Researcher), Cho, J. H. (Researcher), Årzén, K.-E. (Researcher), Åström, K. J. (Researcher), Sou, K. C. (Researcher), Mårtensson, K. (Researcher), Berntorp, K. (Researcher), Soltesz, K. (Researcher), Lessard, L. (Researcher), Hast, M. (Researcher), Rönn, M. (Researcher), Ansbjerg Kjær, M. (Researcher), Maggio, M. (Researcher), Kristalny, M. (Researcher), Garpinger, O. (Researcher), From, P. J. (Researcher), Larsson, P.-O. (Researcher), Giselsson, P. (Researcher), Johansson, R. (Researcher), Hägglund, T. (Researcher), Vladimerou, V. (Researcher), Romero Segovia, V. (Researcher), Aurelius, A. (Researcher), Cedersjö, G. (Researcher), Bür, K. (Researcher), Dellkrantz, M. (Researcher), Du, M. (Researcher), Amani, P. (Researcher), Larsson, R. (Researcher), Tärneberg, W. (Research student), Li, Z. (Researcher), Yin, L. (Researcher), Tufvesson, F. (Researcher), Höst, S. (Researcher), Nilsson, B. (Researcher), Stenström, S. (Researcher), Andersson, J. A. (Researcher), Diehl, S. (Researcher), Dürango, J. (Researcher), Ghazaei Ardakani, M. (Researcher), Forsberg, P.-O. (Researcher), Bengtsson, F. (Researcher), Jörntell, H. (Researcher), Arévalo, C. (Researcher), Führer, C. (Researcher), Andersson, C. (Researcher), Mohammadi, F. (Researcher), Ödling, P. (Researcher), Andersson, M. (Researcher), Kihl, M. (Researcher) & Tunestål, P. (Researcher)
2008/07/01 → 2018/06/30
Project: Research

Cite this

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title = "Distributed Robust Stability Analysis of Interconnected Uncertain Systems",

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 Anders Hansson and Pakazad, {Sina K.} and Anders Rantzer",

year = "2012",

doi = "10.1109/CDC.2012.6426306",

language = "English",

isbn = "978-1-4673-2065-8",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

pages = "1548--1553",

booktitle = "IEEE 51st Annual Conference on Decision and Control (CDC), 2012",

address = "United States",

note = "51st IEEE Conference on Decision and Control, 2012, cdc2012 ; Conference date: 10-12-2012 Through 13-12-2012",

url = "http://www.ieeecss.org/CAB/conferences/cdc2012/",

}

Andersen, MS, Hansson, A, Pakazad, SK & Rantzer, A 2012, Distributed Robust Stability Analysis of Interconnected Uncertain Systems. in IEEE 51st Annual Conference on Decision and Control (CDC), 2012. IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 1548-1553, 51st IEEE Conference on Decision and Control, 2012, Maui, Hawaii, United States, 2012/12/10. https://doi.org/10.1109/CDC.2012.6426306

Distributed Robust Stability Analysis of Interconnected Uncertain Systems. / Andersen, Martin S.; Hansson, Anders; Pakazad, Sina K. et al.
IEEE 51st Annual Conference on Decision and Control (CDC), 2012. IEEE - Institute of Electrical and Electronics Engineers Inc., 2012. p. 1548-1553.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Distributed Robust Stability Analysis of Interconnected Uncertain Systems

AU - Andersen, Martin S.

AU - Hansson, Anders

AU - Pakazad, Sina K.

AU - Rantzer, Anders

N1 - Conference code: 51

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1109/CDC.2012.6426306

DO - 10.1109/CDC.2012.6426306

M3 - Paper in conference proceeding

SN - 978-1-4673-2065-8

SP - 1548

EP - 1553

BT - IEEE 51st Annual Conference on Decision and Control (CDC), 2012

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 51st IEEE Conference on Decision and Control, 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Distributed Robust Stability Analysis of Interconnected Uncertain Systems

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Cite this