Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties

Tarek Ahmed-Ali, Fouad Giri, Miroslav Krstic, Laurent Burlion, Françoise Lamnabhi-Lagarrigue

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We are considering the problem of state observation for a class of infinite dimensional systems modeled by parabolic type PDEs. The model is subject to parametric uncertainty entering in both the domain equation and the boundary condition. An adaptive boundary observer, providing online estimates of the system state and parameters, is designed using finite- and infinite-dimensional backstepping-like transformations. The observer is exponentially convergent under an ad hoc persistent excitation condition.

Original languageEnglish (US)
Pages (from-to)115-122
Number of pages8
JournalAutomatica
Volume72
DOIs
StatePublished - Oct 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Control and Systems Engineering

Keywords

  • Adaptive observer
  • Backstepping design
  • Parabolic PDEs
  • Parameter uncertainty

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