Finite-time estimation of second-order LTI systems in the presence of delayed measurement

Zekraoui, Salim; Espitia, Nicolas; Perruquetti, Wilfrid

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1002/rnc.6224

Titre :

Finite-time estimation of second-order LTI systems in the presence of delayed measurement

Auteur(s) :

Zekraoui, Salim [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Espitia, Nicolas [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Perruquetti, Wilfrid [Auteur]

Centrale Lille

Titre de la revue :

International Journal of Robust and Nonlinear Control

Éditeur :

Wiley

Date de publication :

2022

ISSN :

1049-8923

Mot(s)-clé(s) en anglais :

Finite-time convergence
Observer design
LTI systems
Delayed measurement

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

In this paper, we design a nonlinear observer for second-order linear time-invariant (LTI) systems in the observable form with measurement delay. The design guarantees the convergence of the error state to the origin within ...
Lire la suite >In this paper, we design a nonlinear observer for second-order linear time-invariant (LTI) systems in the observable form with measurement delay. The design guarantees the convergence of the error state to the origin within a finite-time that depends on the initial conditions. To accomplish this, we reformulate the original system into a cascade ODE-PDE system where the PDE part is a transport equation that models the effect of the delay on the output. We construct the nonlinear gains in a way that ensures the error system to be finite-time stable (FTS). To prove this, we use an invertible backstepping transformation to convert the error system into a target system which is shown to be finite-time stable using Lyapunov-based analysis and homogeneity tools. We use the inverse transformation to transfer this property to the error system.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :