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) references therein, regarding high-gain observer-based nonlinear control case of systems with diffusion sensor dynamic. Based on some usual hypotheses, we provide sufficient conditions involving parameter length PDE sensor. fact brought into light an explicit trade off between them: larger observer gain, smaller needs be. The stability analysis closed loop system based a Lyapunov functional.