A new LMI based H observer design method for Lipschitz nonlinear systems

A. Zemouche, Rajesh Rajamani, H. Trinh, M. Zasadzinski

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

6 Scopus citations

Abstract

This note deals with H observer design for Lipschitz nonlinear systems. Thanks to a new and judicious use of the Young's relation, new and less conservative LMI conditions are proposed to solve the problem of observer design. Two LMI design methods are provided. First, we propose a new enhanced LMI technique that allows to improve the standard LMI methods for Lipschitz systems. A second method is proposed to improve more the first one. It consists in combining the first method and the well known LPV approach. This technique exploits the advantages of the LPV approach for larger Lipschitz constants and in the second time, it allows to reduce the high number of LMIs of the classical LPV method. An application to a neural mass model is presented to show the effectiveness of the proposed method.

Original languageEnglish (US)
Title of host publication2016 European Control Conference, ECC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2011-2016
Number of pages6
ISBN (Electronic)9781509025916
DOIs
StatePublished - Jan 6 2017
Event2016 European Control Conference, ECC 2016 - Aalborg, Denmark
Duration: Jun 29 2016Jul 1 2016

Other

Other2016 European Control Conference, ECC 2016
CountryDenmark
CityAalborg
Period6/29/167/1/16

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Keywords

  • Lipschitz systems
  • LMI approach
  • Observers design
  • synthesis

Cite this

Zemouche, A., Rajamani, R., Trinh, H., & Zasadzinski, M. (2017). A new LMI based H observer design method for Lipschitz nonlinear systems. In 2016 European Control Conference, ECC 2016 (pp. 2011-2016). [7810587] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2016.7810587