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

Tarek Ahmed-Ali (1) , Françoise Lamnabhi-Lagarrigue (2) , Hassan K Khalil (3)

1 ENSICAEN - École Nationale Supérieure d'Ingénieurs de Caen
2 L2S - Laboratoire des signaux et systèmes
3 Michigan State University [East Lansing]

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.

Mots clés: Output feedback; High-gain observers; Cascade ODE-PDE systems

Domaines: Sciences de l'ingénieur [physics]

Tarek Ahmed-Ali, Françoise Lamnabhi-Lagarrigue, Hassan K Khalil. High-gain Observer-based Output Feedback Control with Sensor Dynamic Governed by Parabolic PDE. IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin, Germany. ⟨10.1016/j.ifacol.2020.12.1106⟩. ⟨hal-02939080⟩