Distributed robustness analysis of heterogeneous networks via integral quadratic constraints

Sei Zhen Khong, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Robust performance of networks of interconnected heterogenous nonlinear dynamic systems is studied using the theory of integral quadratic constraints. By appealing to recent results on chordal sparsity decompositions of rational transfer matrices, distributed and scalable certificates for performance of interconnections are proposed. The approach is more direct since it does not involve reformulating the problem in terms of standard closed-loop configurations as is typical in the literature, which may destroy or conceal the structural properties inherent in the interconnections. The well-studied notion of feedback performance is reinvestigated within this framework. It is shown that feedback performance can be verified in a distributed fashion if the signal variables in the feedback interconnection are selected appropriately. Another contribution of the paper lies in identifying three chordality-preserving operations that are standard in control and modelling theory, namely local feedback, feedforward, and additive input-output perturbations.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479986842
StatePublished - Jul 28 2015
Externally publishedYes
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2015 American Control Conference, ACC 2015
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 2015 American Automatic Control Council.


  • Distributed robustness analysis
  • chordal graphs
  • integral quadratic constraints


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