Skip to Main content Skip to Navigation
Journal articles

Observer design for a class of parabolic systems with large delays and sampled measurements

Abstract : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download
Contributor : Françoise Lamnabhi-Lagarrigue Connect in order to contact the contributor
Submitted on : Monday, July 13, 2020 - 3:13:15 PM
Last modification on : Wednesday, November 3, 2021 - 5:16:53 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 6:07:28 PM


Files produced by the author(s)



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, pp.1-1. ⟨10.1109/TAC.2019.2941434⟩. ⟨hal-02409383⟩



Les métriques sont temporairement indisponibles