Integral Quadratic Constraints for nonnegative uncertainties

Takashi Tanaka, Cédric Langbort

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


This paper presents some preliminary results on robust stability analysis of positive systems. A general analysis framework with Integral Quadratic Constraints (IQC) is refined for nonnegative uncertain systems. Based on this framework, a new approach for robust control design is proposed. The new framework not only enables a stability analysis of a positive systems, but also suggests new robust control design strategy for systems which has nothing to do with the positive systems at first glance. An example is shown in which such a control design method provides a sharper result than the control design using existing IQC techniques.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages7
Edition1 PART 1
ISBN (Print)9783902661937
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


  • Convex optimization
  • Decentralized control
  • H-infinity control
  • Integral Quadratic Constraints
  • Positive systems
  • Robust control
  • Structured singular value

ASJC Scopus subject areas

  • Control and Systems Engineering


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