Distributed Robust Stability Analysis of Interconnected Uncertain Systems
2012 (English)In: Proceedings of the 51st IEEE Conference on Decision and Control, 2012, 1548-1553 p.Conference paper (Refereed)
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.
Control system analysis, Linear matrix inequalities, Stability, Uncertain systems
IdentifiersURN: urn:nbn:se:liu:diva-90877DOI: 10.1109/CDC.2012.6426306ISBN: 978-1-4673-2064-1ISBN: 978-1-4673-2065-8OAI: oai:DiVA.org:liu-90877DiVA: diva2:614859
51st IEEE Conference on Decision and Control, Maui, HI, USA, 10-13 December, 2012
FundereLLIIT - The Linköping‐Lund Initiative on IT and Mobile Communications