Distributed Robustness Analysis of Interconnected Uncertain Systems Using Chordal Decomposition

Khoshfetrat Pakazad, Sina,1985-Linköpings universitet,Reglerteknik,Tekniska högskolan (author)

Large-scale interconnected uncertain systems commonly have large state and uncertainty dimensions. Aside from the heavy computational cost of solving centralized robust stability analysis techniques, 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.

Hansson, AndersLinköpings universitet,Reglerteknik,Tekniska högskolan(Swepub:liu)andha17 (author)
Andersen, Martin S.Technical University of Denmark, Lyngby, Denmark (author)
Rantzer, AndersLund University, Sweden (author)
Linköpings universitetReglerteknik (creator_code:org_t)

In:Proceedings of the 19th IFAC World Congress, 2014: International Federation of Automatic Control, s. 2594-25999783902823625

By the author/editor: Khoshfetrat Paka ...; Hansson, Anders; Andersen, Martin ...; Rantzer, Anders

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