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Decomposition and Projection Methods for Distributed Robustness Analysis of Interconnected Uncertain Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Technical University of Denmark. (Department of Applied Mathematics and Computer Science)
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Lund University. (Department of Automatic Control)
2013 (English)Conference paper, Published paper (Refereed)
Abstract [en]

We consider a class of convex feasibility problems where the constraints that describe the feasible set are loosely coupled. These problems arise in robust stability analysis of large, weakly interconnected uncertain systems. To facilitate distributed implementation of robust stability analysis of such systems, we describe two algorithms based on decomposition and simultaneous projections. The first algorithm is a nonlinear variant of Cimmino's mean projection algorithm, but by taking the structure of the constraints into account, we can obtain a faster rate of convergence. The second algorithm is devised by applying the alternating direction method of multipliers to a convex minimization reformulation of the convex feasibility problem. We use numerical results to show that both algorithms require far less iterations than the accelerated nonlinear Cimmino algorithm.

Place, publisher, year, edition, pages
2013. 194-199 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-103912DOI: 10.3182/20130708-3-CN-2036.00008OAI: oai:DiVA.org:liu-103912DiVA: diva2:692893
Conference
13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications
Available from: 2014-02-03 Created: 2014-02-03 Last updated: 2014-02-12Bibliographically approved

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Khoshfetrat Pakazad, SinaHansson, Anders

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CiteExportLink to record
Permanent link

Direct link
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