%0 Journal Article %T Observer design for a class of parabolic systems with large delays and sampled measurements %+ École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN) %+ Department of Electrical Engineering %+ Equipe Automatique - Laboratoire GREYC - UMR6072 %+ Laboratoire des signaux et systèmes (L2S) %+ Rutgers University System (Rutgers) %A Ahmed-Ali, Tarek %A Fridman, Emilia %A Giri, Fouad %A Kahelras, Mohamed %A Lamnabhi-Lagarrigue, Françoise %A Burlion, Laurent %< avec comité de lecture %@ 0018-9286 %J IEEE Transactions on Automatic Control %I Institute of Electrical and Electronics Engineers %P 1-1 %8 2019 %D 2019 %R 10.1109/TAC.2019.2941434 %Z Engineering Sciences [physics]/AutomaticJournal articles %X In this paper, we design a novel observer for a class of semilinear heat 1D 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 sub-observers. Each sub-observer handles a fraction of the considered delay. The resulting estimation error system is shown to be exponentially stable under a sufficient number of sub-observers is used. The stability analysis is based on a specific Lyapunov-Krasovskii functional and the stability conditions are expressed in terms of LMIs. %G English %2 https://centralesupelec.hal.science/hal-02409383/document %2 https://centralesupelec.hal.science/hal-02409383/file/Observer_design_parabolic_lamnabhi.pdf %L hal-02409383 %U https://centralesupelec.hal.science/hal-02409383 %~ CNRS %~ UNIV-PSUD %~ SUP_LSS %~ SUP_SYSTEMES %~ CENTRALESUPELEC %~ COMUE-NORMANDIE %~ TDS-MACS %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ CENTRALESUPELEC-SACLAY %~ ENSICAEN %~ UNICAEN %~ GS-ENGINEERING %~ GS-COMPUTER-SCIENCE