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Distributed Robustness Analysis of Interconnected Uncertain Systems Using Chordal Decomposition

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Authors:
  • Pakazad, Sina Khoshfetrat ;
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    Linköping University
  • Hansson, Anders ;
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    Linköping University
  • Andersen, Martin Skovgaard ;
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    Orcid logo0000-0002-4654-3946
    Department of Applied Mathematics and Computer Science, Technical University of Denmark
  • Rantzer, Anders
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    Lund University
Editor:
Boje, Edward, Xia, Xiaohua
DOI:
10.3182/20140824-6-ZA-1003.01649
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.
ISBN:
9783902823625
Type:
Conference paper
Language:
English
Published in:
Smad Electronical Journal Mental Health, Alcohol and Drugs, 2014, p. 2594-2599
Keywords:
Robustness analysis; Networked systems; Convex optimization
Main Research Area:
Science/technology
Publication Status:
Published
Series:
I F a C Workshop Series
Review type:
Peer Review
Conference:
19th World Congress of the International Federation of Automatic Control (IFAC 2014)
Publisher:
International Federation of Automatic Control
Submission year:
2014
Scientific Level:
Scientific
ID:
259894464

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