Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition

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

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

9 Scopus citations


We are considering the problem of state observation for a class of infinite dimensional systems. The latter are modelled by a parabolic PDE and a boundary condition involving an unknown parameter. The problem is dealt with using an adaptive observer that provides online estimates of the system (spatially distributed) state and the unknown parameters. The observer is formally shown to be exponentially convergent under an ad-hoc persistent excitation condition.

Original languageEnglish (US)
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426937
StatePublished - Nov 16 2015
Externally publishedYes
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: Jul 15 2015Jul 17 2015

Publication series

Name2015 European Control Conference, ECC 2015


ConferenceEuropean Control Conference, ECC 2015

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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