High-Gain Nonlinear Observer With Lower Tuning Parameter

Ali Zemouche, Fan Zhang, Frédéric Mazenc, Rajesh Rajamani

Research output: Contribution to journalArticle

Abstract

This paper develops a new high-gain observer design method for nonlinear systems that has a lower gain compared to the standard high-gain observer. This new observer, called HG/LMI observer, is obtained by combining the standard high-gain methodology with the LMI-based observer design technique. Through analytical developments, this paper shows how the new observer provides lower gains, shows how it applies to systems with multinonlinear functions, and analyzes performance in the presence of measurement noise and/or delayed output measurements. A numerical example is given to illustrate the increasing advantage of the new HG/LMI observer with increase in the observer's 'compromise index.' Finally, the applicability and performance of the observer is demonstrated for a real-world application consisting of a train's magnetic levitation system.

Original languageEnglish (US)
Article number8540946
Pages (from-to)3194-3209
Number of pages16
JournalIEEE Transactions on Automatic Control
Volume64
Issue number8
DOIs
StatePublished - Aug 1 2019

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Tuning
Magnetic levitation
Nonlinear systems

Keywords

  • High-gain methodology
  • LMIs
  • Lipschitz systems
  • observer design

Cite this

High-Gain Nonlinear Observer With Lower Tuning Parameter. / Zemouche, Ali; Zhang, Fan; Mazenc, Frédéric; Rajamani, Rajesh.

In: IEEE Transactions on Automatic Control, Vol. 64, No. 8, 8540946, 01.08.2019, p. 3194-3209.

Research output: Contribution to journalArticle

Zemouche, Ali ; Zhang, Fan ; Mazenc, Frédéric ; Rajamani, Rajesh. / High-Gain Nonlinear Observer With Lower Tuning Parameter. In: IEEE Transactions on Automatic Control. 2019 ; Vol. 64, No. 8. pp. 3194-3209.
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