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 proceedingArticle in proceedingsResearchpeer-review


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 languageEnglish
Title of host publicationProceedings of the 51st IEEE Annual Conference on Decision and Control (CDC) 2012
Publication date2012
ISBN (Print)978-1-4673-2065-8
ISBN (Electronic)978-1-4673-2064-1
Publication statusPublished - 2012
Externally publishedYes
Event51st IEEE Conference on Decision and Control - Maui, HI, United States
Duration: 10 Dec 201213 Dec 2012
Conference number: 51


Conference51st IEEE Conference on Decision and Control
Country/TerritoryUnited States
CityMaui, HI
SeriesI E E E Conference on Decision and Control. Proceedings


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