We study the global asymptotic stabilization by output feedback for systems whose dynamics are in a feedback form where the nonlinear terms admit an incremental rate depending only on the measured output. The output feedback we consider is of the observer-controller type where the design of the controller follows from standard robust backstepping. As far as we know, the novelty is in the observ...

The problem of designing sliding-mode observers for systems with unknown inputs is considered when the so-called observer matching condition is not satisfied. This condition severely restricts the applicability of sliding-mode observers. To circumvent the observer matching condition, thereby broadening the class of systems for which sliding-mode observers can be constructed, a possible method i...

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...

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...

The design problem of a high-gain observer is considered for some 2 × and 3 semilinear reaction-diffusion systems, with possibly distinct diffusivities, considering distributed measurement part the state. Due to limitations imposed by parabolic operator, such an observer, infinite-dimensional state transformation first applied map system into more suitable set partial differential equations. th...

In this paper, a high-gain interval observer (HGIO) for class of partially linear continuous-time systems with sampled measured outputs in the presence bounded noise and additive disturbances is proposed. The design HGIO formulated Linear Matrix Inequality (LMI) framework. gain designed to satisfy cooperative property using time-varying change coordinates based on pole placement separate LMI re...

This paper demonstrates the solutions of digital observer implementation for industrial applications. A nonlinear high-gain discrete observer is proposed to compensate the tracking error due to the flexibility of robot manipulators. The proposed discrete observer is obtained by using Euler approximate discretization of the continuous observer. A series of experimental validations have been carr...