Homogeneous continuous finite-time observer for the triple integrator

Bernuau, Emmanuel; Efimov, Denis; Moulay, Emmanuel; Perruquetti, Wilfrid

Document type :

Communication dans un congrès avec actes

Title :

Homogeneous continuous finite-time observer for the triple integrator

Author(s) :

Bernuau, Emmanuel [Auteur]
Institut de Recherche en Communications et en Cybernétique de Nantes [IRCCyN]
Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Moulay, Emmanuel [Auteur]
SIC [XLIM-SIC]
Perruquetti, Wilfrid [Auteur]

Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]

Conference title :

ECC'15 - 14th annual European Control Conference

City :

Linz

Country :

Autriche

Start date of the conference :

2015-07-15

HAL domain(s) :

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

English abstract : [en]

In this paper we consider the continuous homogeneous observer defined in [1] in the case of the triple in-tegrator. In [1], convergence of the algorithm was only proved when the degree of homogeneity was sufficiently close ...
Show more >In this paper we consider the continuous homogeneous observer defined in [1] in the case of the triple in-tegrator. In [1], convergence of the algorithm was only proved when the degree of homogeneity was sufficiently close to 0 without more tractable information. We show here that, in the case of the triple integrator, the observer presents global finite-time stability for any negative degree under constructive conditions on the gains. This is achieved with a homogeneous Lyapunov function design. Simulations of the proposed observer are also provided.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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