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, smal...

This paper considers output feedback control using high-gain observers in the presence of measurement noise for a class of nonlinear systems. We study stability in the presence of measurement noise and illustrate the tradeoff when selecting the observer gain between state reconstruction speed and robustness to model uncertainty on the one hand versus amplification of noise on the other. Based o...

We address the problem of state observation for a system whose dynamics may involve poorly known, perhaps even nonlocally Lipschitz functions and whose output measurement may be corrupted by noise. It is known that one way to cope with all these uncertainties and noise is to use a high-gain observer with a gain adapted on-line. As a difference from most previous results, we study such a solutio...

In this paper, a slimple linear high-gain integral-derivative observer is presented based on singular perturbation technique. The proposed integral-derivative observer can estimate synchronously the multiple integrals and derivatives of a signal. The merits of the presented integralderivative observer include its synchronous estimation of integrals and derivatives, simple implementation, suffic...

Under some observability assumptions (uniform observability), a high gain observer for a class of implicit dynamical systems is given in this paper. Numerically, the computation of trajectories of such implicit systems usually necessitates the use of an optimization algorithm together with an ODE numerical method. This complicates the synthesis of an observer. The observer design proposed here ...