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Communication Dans Un Congrès Année : 2018

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

Résumé

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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Dates et versions

hal-02338989 , version 1 (31-05-2021)

Identifiants

Citer

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. 57th 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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