Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Martin Skovgaard Andersen; Anders Hansson; Sina Khoshfetrat Pakazad; Anders Rantzer

doi:10.1109/CDC.2012.6426306

Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Martin Skovgaard Andersen, Anders Hansson, Sina Khoshfetrat Pakazad, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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 inequality 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	Proceedings of the 51st IEEE Annual Conference on Decision and Control (CDC) 2012
Publisher	IEEE
Publication date	2012
Pages	1548-1553
ISBN (Print)	978-1-4673-2065-8
ISBN (Electronic)	978-1-4673-2064-1
DOIs	https://doi.org/10.1109/CDC.2012.6426306
Publication status	Published - 2012
Externally published	Yes
Event	51st IEEE Conference on Decision and Control - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012 Conference number: 51

Conference

Conference	51st IEEE Conference on Decision and Control
Number	51
Country/Territory	United States
City	Maui, HI
Period	10/12/2012 → 13/12/2012

Series	I E E E Conference on Decision and Control. Proceedings
ISSN	0743-1546

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10.1109/CDC.2012.6426306

http://arxiv.org/abs/1211.1239

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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 inequality 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 Skovgaard} and Anders Hansson and Pakazad, {Sina Khoshfetrat} and Anders Rantzer",

year = "2012",

doi = "10.1109/CDC.2012.6426306",

language = "English",

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publisher = "IEEE",

pages = "1548--1553",

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

address = "United States",

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

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

Distributed Robust Stability Analysis of Interconnected Uncertain Systems. / Andersen, Martin Skovgaard; Hansson, Anders; Pakazad, Sina Khoshfetrat et al.
Proceedings of the 51st IEEE Annual Conference on Decision and Control (CDC) 2012. IEEE, 2012. p. 1548-1553 (I E E E Conference on Decision and Control. Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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 inequality 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 inequality 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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T3 - I E E E Conference on Decision and Control. Proceedings

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PB - IEEE

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Y2 - 10 December 2012 through 13 December 2012

ER -

Distributed Robust Stability Analysis of Interconnected Uncertain Systems

Abstract

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