H∞ circle criterion observer design for Lipschitz nonlinear systems with enhanced LMI conditions

A. Zemouche, R. Rajamani, B. Boulkroune, H. Rafaralahy, M. Zasadzinski

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

24 Scopus citations

Abstract

This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms are included in the LMI, contrarily to some recent results, which turn to be particular cases of what we proposed in this paper. This additional decision variables allow to improve the feasibility of the proposed LMI. A numerical example is given to show the effectiveness of the proposed methodology.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages131-136
Number of pages6
ISBN (Electronic)9781467386821
DOIs
StatePublished - Jul 28 2016
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
Country/TerritoryUnited States
CityBoston
Period7/6/167/8/16

Keywords

  • H∞synthesis
  • LMI approach
  • Lipschitz systems
  • Observers design

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