Observer Design for a Class of Parabolic Systems with Large Delays and Sampled Measurements

Tarek Ahmed-Ali, Emilia Fridman, Fouad Giri, Mohamed Kahelras, Francoise Lamnabhi-Lagarrigue, Laurent Burlion

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we design a novel observer for a class of semilinear heat one dimmensional (1-D) equations under the delayed and sampled point measurements. The main novelty is that the delay is arbitrary. To handle any arbitrary delay, the observer is constituted of a chain of subobservers. Each subobserver handles a fraction of the considered delay. The resulting estimation error system is shown to be exponentially stable under a sufficient number of subobservers is used. The stability analysis is based on a specific Lyapunov-Krasovskii functional and the stability conditions are expressed in terms of linear matrix inequalities (LMIs).

Original languageEnglish
Article number8836621
Pages (from-to)2200-2206
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume65
Issue number5
DOIs
StatePublished - May 2020

Keywords

  • Chain observers
  • delayed output
  • parabolic systems

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