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High-gain Observer-based Output Feedback Control with Sensor Dynamic Governed by Parabolic PDE

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 is based on a Lyapunov functional.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02939080
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Submitted on : Tuesday, September 15, 2020 - 12:24:30 PM
Last modification on : Sunday, October 4, 2020 - 3:23:27 AM

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  • HAL Id : hal-02939080, version 1

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Tarek Ahmed-Ali, Françoise Lamnabhi-Lagarrigue, Hassan Khalil. High-gain Observer-based Output Feedback Control with Sensor Dynamic Governed by Parabolic PDE. 21st IFAC world congress, Jul 2020, Berlin, Germany. ⟨hal-02939080⟩

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