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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 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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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

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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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