Robust controller design using the Large Gain Theorem: The full-state feedback case

Ryan James Caverly, James Richard Forbes

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

3 Scopus citations

Abstract

This paper presents full-state feedback controller synthesis methods that are robust to inverse additive uncertainty via the Large Gain Theorem. In particular, the controller synthesis methods can account for unstable uncertainties. Controllers are designed to either maximize robustness or maximize performance while satisfying a linear matrix inequality (LMI) that enforces a sufficient condition on the minimum gain of the closed-loop system. The Large Gain Theorem is used to prove the robust input-output stability of the system subject to inverse additive uncertainty. A numerical example is provided to illustrate the proposed controller design methods.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3832-3837
Number of pages6
ISBN (Electronic)9781467386821
DOIs
StatePublished - Jul 28 2016
Externally publishedYes
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

NameProceedings of the American Control Conference
Volume2016-July
ISSN (Print)0743-1619

Other

Other2016 American Control Conference, ACC 2016
CountryUnited States
CityBoston
Period7/6/167/8/16

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