An overview on observer tools for nonlinear systems

G Besançon - Nonlinear observers and applications, 2007 - Springer
Contents The problem of observer design naturally arises in a system approach, as soon as
one needs some internal information from external (directly available) measurements. In …

Finite-time observers: application to secure communication

W Perruquetti, T Floquet… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
In this paper, control theory is used to formalize finite-time chaos synchronization as a
nonlinear finite-time observer design issue. This paper introduces a finite-time observer for …

Differential elimination for dynamical models via projections with applications to structural identifiability

R Dong, C Goodbrake, HA Harrington… - SIAM Journal on Applied …, 2023 - SIAM
Elimination of unknowns in a system of differential equations is often required when
analyzing (possibly nonlinear) dynamical systems models, where only a subset of variables …

A global high-gain finite-time observer

T Menard, E Moulay… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
A global finite-time observer is designed for nonlinear systems which are uniformly
observable and globally Lipschitz. This result is based on a high-gain approach combined …

Immersion of nonlinear systems into linear systems modulo output injection

P Jouan - SIAM Journal on Control and Optimization, 2003 - SIAM
The problem of the immersion of a SISO system into a linear up to an output injection one is
studied in order to design Luenberger-like observers. Necessary and sufficient conditions …

Linearization by generalized input-output injection

F Plestan, A Glumineau - Systems & Control Letters, 1997 - Elsevier
The problem under interest is the linearization of nonlinear MIMO systems by generalized
input-output injection in order to design observers with linear error dynamics. The method is …

Circle-criterion approach to discrete-time nonlinear observer design

S Ibrir - Automatica, 2007 - Elsevier
This paper addresses the design of discrete-time nonlinear observers through the circle
criterion. The new design method is mainly devoted to either globally Lipschitz systems or …

An observation algorithm for nonlinear systems with unknown inputs

JP Barbot, D Boutat, T Floquet - Automatica, 2009 - Elsevier
This paper deals with the design of unknown input observers for nonlinear systems. An
algorithm which determines if the state and the unknown input of the system can be …

Robust observer with sliding mode estimation for nonlinear uncertain systems

KC Veluvolu, YC Soh, W Cao - IET Control Theory & Applications, 2007 - IET
To handle the state estimation of a nonlinear system perturbed by a scalar disturbance
distributed by a known nonlinear vector, we incorporate a sliding mode term into a nonlinear …

Online exact differentiation and notion of asymptotic algebraic observers

S Ibrir - IEEE transactions on Automatic control, 2003 - ieeexplore.ieee.org
In recent years, the availability of computer-based methods has created a revival of interests
in exploring algebraic methods in nonlinear context. This paper proposes a new approach to …