Distributed Robustness Analysis of Interconnected Uncertain Systems Using Chordal Decomposition

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

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Large-scale interconnected uncertain systems commonly have large state and uncertainty dimensions. Aside from the heavy computational cost of performing robust stability analysis in a centralized manner, privacy requirements in the network can also introduce further issues. In this paper, we utilize IQC analysis for analyzing large-scale interconnected uncertain systems and we evade these issues by describing a decomposition scheme that is based on the interconnection structure of the system. This scheme is based on the so-called chordal decomposition and does not add any conservativeness to the analysis approach. The decomposed problem can be solved using distributed computational algorithms without the need for a centralized computational unit. We further discuss the merits of the proposed analysis approach using a numerical experiment.
Original languageEnglish
Title of host publicationProceedings of the 19th IFAC World Congress, 2014
EditorsEdward Boje, Xiaohua Xia
PublisherInternational Federation of Automatic Control
Publication date2014
Pages2594-2599
ISBN (Print)978-3-902823-62-5
DOIs
Publication statusPublished - 2014
Event19th World Congress of the International Federation of Automatic Control (IFAC 2014) - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014
http://www.ifac2014.org/

Conference

Conference19th World Congress of the International Federation of Automatic Control (IFAC 2014)
CountrySouth Africa
CityCape Town
Period24/08/201429/08/2014
OtherThe theme of the congress: “Promoting automatic control for the benefit of humankind”
Internet address
SeriesI F A C Workshop Series
Number1
Volume19
ISSN1474-6670

Keywords

  • Robustness analysis
  • Networked systems
  • Convex optimization

Fingerprint Dive into the research topics of 'Distributed Robustness Analysis of Interconnected Uncertain Systems Using Chordal Decomposition'. Together they form a unique fingerprint.

Cite this