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Robust Stability Analysis of Sparsely Interconnected Uncertain Systems

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Author

  • Martin S. Andersen
  • Sina Khoshfetrat Pakazad
  • Anders Hansson
  • Anders Rantzer

Summary, in English

In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis of such systems can be performed by solving a set of sparse linear matrix inequalities. We also show that a sparse formulation of the analysis problem is equivalent to the classical formulation of the robustness analysis problem and hence does not introduce any additional conservativeness. The sparse formulation of the analysis problem allows us to apply methods that rely on efficient sparse factorization techniques, and our numerical results illustrate the effectiveness of this approach compared to methods that are based on the standard formulation of the analysis problem.

Publishing year

2014

Language

English

Pages

2151-2156

Publication/Series

IEEE Transactions on Automatic Control

Volume

59

Issue

8

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Status

Published

Project

  • LCCC

Research group

  • ELLIIT
  • LCCC

ISBN/ISSN/Other

  • ISSN: 0018-9286