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Distributed Robust Stability Analysis of Interconnected Uncertain Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2012 (English)In: Proceedings of the 51st IEEE Conference on Decision and Control, 2012, 1548-1553 p.Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. 1548-1553 p.
Keyword [en]
Control system analysis, Linear matrix inequalities, Stability, Uncertain systems
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-90877DOI: 10.1109/CDC.2012.6426306ISBN: 978-1-4673-2064-1 (print)ISBN: 978-1-4673-2065-8 (print)OAI: oai:DiVA.org:liu-90877DiVA: diva2:614859
Conference
51st IEEE Conference on Decision and Control, Maui, HI, USA, 10-13 December, 2012
Projects
ELLIIT
Funder
eLLIIT - The Linköping‐Lund Initiative on IT and Mobile Communications
Available from: 2013-04-08 Created: 2013-04-08 Last updated: 2013-07-10

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Andersen, MartinHansson, AndersKhoshfetrat Pakazad, SinaRantzer, Anders

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf