Decentralized control of linear time-varying nested systems with H -type performance

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


This paper considers the decentralized control of a nested linear time-varying (LTV) discrete-time system using a nested LTV controller for an ℓ2-induced norm performance criteria. An operator theoretic approach is used to obtain exact conditions for the feasibility of structured linear controller synthesis. These include conditions for the completion of scaling matrices obtained through an updated matrix completion lemma. When individual controller dimensions are chosen at least as large as the plant, these conditions reduce to convex inequalities coupled over time. The completion lemma also provides an algorithm to complete the closed loop scaling matrices leading to inequalities for controller synthesis.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781479932726
StatePublished - 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

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


Other2014 American Control Conference, ACC 2014
Country/TerritoryUnited States
CityPortland, OR


  • Decentralized control
  • LMIs
  • Time-varying systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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