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

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 highgain 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.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, the high-gain observer-based nonlinear control is extended to systems with diffusion sensor dynamic, based on the work of Khalil and Praly (2014) and the references therein. The paper provides sufficient conditions for the high-gain parameter and the length of the PDE sensor, revealing a trade-off between them. The stability analysis of the closed-loop system is conducted using a Lyapunov functional.