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Observer design for a class of parabolic systems with arbitrarily delayed measurements

Abstract : An observer is designed for a class of nonlinear parabolic PDEs with delayed point measurements. The novelty lies is that the delay size is arbitrary. To compensate for this arbitrary delay effect, the observer consists of several chained sub-observers. Each sub-observer compensates a fraction of the global delay. The resulting estimation error system is shown to be exponentially stable provided that 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.
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https://hal.archives-ouvertes.fr/hal-02338989
Contributor : Véronique Soullier <>
Submitted on : Monday, July 20, 2020 - 10:21:37 AM
Last modification on : Wednesday, September 16, 2020 - 4:50:17 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 arbitrarily delayed measurements. 2018 IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, Fl, United States. pp.2199-2204, ⟨10.1109/CDC.2018.8618938⟩. ⟨hal-02338989⟩

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