HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Adaptive Observer for a Class of Parabolic PDEs

Tarek Ahmed-Ali 1 Fouad Giri 2 Miroslav Krstic 3 Françoise Lamnabhi-Lagarrigue 4 Laurent Burlion 5
1 GREYC - Groupe de Recherche en Informatique, Image et Instrumentation de Caen
2 Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image et Instrumentation de Caen
3 UC San Diego - University of California [San Diego]
4 L2S - Laboratoire des signaux et systèmes
5 ONERA - The French Aerospace Lab [Toulouse]
Abstract : The problem of state observation, based on spatially-sampled output measurements, is addressed for a class of infinite dimensional systems, modelled by a semi-linear heat equation augmented with a structured uncertain part involving a set of unknown parameters. An adaptive observer is designed that provides online estimates of the system (spatially distributed) state and unknown parameters based on sampled data (in space). Sufficient conditions for the observer to be exponentially convergent are established. These include an ad-hoc persistent excitation condition as well as a condition on how the observer gain must be selected in relation with the space sampling interval.
Keywords : Nonlinear system observer design PDE systems
Document type :
Journal articles
Complete list of metadata
https://hal-centralesupelec.archives-ouvertes.fr/hal-01260172
Contributor : Myriam Baverel Connect in order to contact the contributor
Submitted on : Wednesday, May 18, 2022 - 6:31:59 PM
Last modification on : Wednesday, May 18, 2022 - 6:42:08 PM

File

Vignette du document
TAA2016.pdf
Files produced by the author(s)

Licence

Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

Collections

CENTRALESUPELEC | ONERA | GS-ENGINEERING | UNICAEN | ENSICAEN | TDS-MACS | COMUE-NORMANDIE | SUP_SYSTEMES | SUP_LSS | CNRS | GS-COMPUTER-SCIENCE

Citation

Tarek Ahmed-Ali, Fouad Giri, Miroslav Krstic, Françoise Lamnabhi-Lagarrigue, Laurent Burlion. Adaptive Observer for a Class of Parabolic PDEs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (10), pp.3083-3090. ⟨10.1109/tac.2015.2500237⟩. ⟨hal-01260172⟩

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

0

Files downloads

0