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Journal articles
Observer design for a class of parabolic systems with large delays and sampled measurements
Tarek Ahmed-Ali
1
Emilia Fridman
2
Fouad Giri
3
Mohamed Kahelras
4
Françoise Lamnabhi-Lagarrigue
4
Laurent Burlion
5
3
Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Tarek Ahmed-Ali 1
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Author
Emilia Fridman 2
Author
Fouad Giri 3
Mail : Site :
Author
Mohamed Kahelras 4
Author
Françoise Lamnabhi-Lagarrigue 4
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Author IdHAL : francoise-lamnabhi-lagarrigue ORCID : https://orcid.org/0000-0003-2512-3587
Laurent Burlion 5
Mail :
Author IdHAL : laurent-burlion
1
ENSICAEN - École Nationale Supérieure d'Ingénieurs de Caen (6, Boulevard du Maréchal Juin CS 45053 14050 CAEN cedex 04 - France)
- NU - Normandie Université (Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5 - France)
2
Department of Electrical Engineering (Tel-Aviv University - Tel-Aviv Israel 69978 - Israel)
- Tel Aviv University [Tel Aviv] (P.O. Box 39040, Tel Aviv 6997801 - Israel)
3
Equipe Automatique - Laboratoire GREYC - UMR6072 (France)
- GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (Boulevard du Maréchal Juin - 14050 CAEN Cedex - France)
- UNICAEN - Université de Caen Normandie (Esplanade de la Paix - CS 14032 - 14032 CAEN Cedex 5 - France)
- NU - Normandie Université (Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5 - France)
- ENSICAEN - École Nationale Supérieure d'Ingénieurs de Caen (6, Boulevard du Maréchal Juin CS 45053 14050 CAEN cedex 04 - France)
- NU - Normandie Université (Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5 - France)
- CNRS - Centre National de la Recherche Scientifique : UMR6072 (France)
- UNICAEN - Université de Caen Normandie (Esplanade de la Paix - CS 14032 - 14032 CAEN Cedex 5 - France)
4
L2S - Laboratoire des signaux et systèmes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)
- UP11 - Université Paris-Sud - Paris 11 (Bâtiment 300 - 91405 Orsay cedex - France)
- CentraleSupélec (3, rue Joliot Curie, Plateau de Moulon, 91192 GIF-SUR-YVETTE Cedex - France)
- CNRS - Centre National de la Recherche Scientifique (France)
5
Rutgers University [Piscataway] (Rutgers University, Piscataway, NJ, USA - United States)
- RU - Rutgers, The State University of New Jersey [New Brunswick] (57 US Highway 1, New Brunswick, NJ 08901-8554 - United States)
- Rutgers - Rutgers University System (Camden, Newark, New Brunswick, New Jersey - United States)
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).
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Journal articles
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Complete list of metadatas
https://hal-centralesupelec.archives-ouvertes.fr/hal-02409383
Contributor : Françoise Lamnabhi-Lagarrigue <>
Submitted on : Friday, December 13, 2019 - 2:12:09 PM
Last modification on : Monday, July 13, 2020 - 3:15:25 PM
Contributor : Françoise Lamnabhi-Lagarrigue <>
Submitted on : Friday, December 13, 2019 - 2:12:09 PM
Last modification on : Monday, July 13, 2020 - 3:15:25 PM
Identifiers
- HAL Id : hal-02409383, version 1
- DOI : 10.1109/TAC.2019.2941434
Collections
SUP_LSS | SUP_SYSTEMES | ENSICAEN | L2S | UNICAEN | COMUE-NORMANDIE | CNRS | UNIV-PARIS-SACLAY | TDS-MACS | CENTRALESUPELEC
Citation
Tarek Ahmed-Ali, Emilia Fridman, Fouad Giri, Mohamed Kahelras, Françoise Lamnabhi-Lagarrigue, et al.. Observer design for a class of parabolic systems with large delays and sampled measurements. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2019, 65 (5), pp.2200-2206. ⟨10.1109/TAC.2019.2941434⟩. ⟨hal-02409383⟩
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