Reducing uncertain systems and behaviors

Carolyn Beck, John Doyle

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This paper discusses the relevance of Hankel matrices for uncertain system, mainly in the context of minimality, and discusses associated Hankel operators and the uses of such in computing lower bounds on system norms and for reduction. It defines Hankel matrices for uncertain systems in a manner similar to those define for formal power series. The so-called controllability and observability matrices for uncertain system for the construction of these Hankel matrices for uncertain system are used. It is shown that the singular values of the Hankel operators provide reasonable lower bounds for the system norm, but appear to be conservative for model reduction lower bounds.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
StatePublished - Dec 1 1996
Externally publishedYes
EventProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn
Duration: Dec 11 1996Dec 13 1996

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume1
ISSN (Print)0191-2216

Other

OtherProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
CityKobe, Jpn
Period12/11/9612/13/96

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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