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Journal Articles Automatica Year : 2023

High-gain observer-based output feedback control with sensor dynamic governed by parabolic PDE

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Abstract

In this paper it is proposed to extend the result described in Khalil and Praly (2014) and the references therein, regarding the high-gain observer-based nonlinear control to the case of systems with diffusion sensor dynamic. Based on some usual hypotheses, we provide sufficient conditions involving the high-gain parameter and the length on the PDE sensor. In fact it is brought into light an explicit trade off between them: the larger the observer gain, the smaller the length of the PDE sensor needs to be. The stability analysis of the closed loop system is based on a Lyapunov functional.
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Dates and versions

hal-03857053 , version 1 (17-11-2022)

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Cite

Tarek Ahmed-Ali, Françoise Lamnabhi-Lagarrigue, Hassan K Khalil. High-gain observer-based output feedback control with sensor dynamic governed by parabolic PDE. Automatica, 2023, 147, pp.110664. ⟨10.1016/j.automatica.2022.110664⟩. ⟨hal-03857053⟩
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