Finite-time Attractive Ellipsoid Method: Implicit Lyapunov Function Approach

Mera, Manuel; Polyakov, Andrey; Perruquetti, Wilfrid

Document type :

Article dans une revue scientifique

DOI :

10.1080/00207179.2015.1118660

Title :

Finite-time Attractive Ellipsoid Method: Implicit Lyapunov Function Approach

Author(s) :

Mera, Manuel [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Polyakov, Andrey [Auteur]

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

Journal title :

International Journal of Control

Publisher :

Taylor & Francis

Publication date :

2015-12-15

ISSN :

0020-7179

English keyword(s) :

LMI linear matrix inequality
Robust Control
Lyapunov Methods

HAL domain(s) :

Mathématiques [math]/Optimisation et contrôle [math.OC]

English abstract : [en]

A finite-time version, based on Implicit Lyapunov Functions (ILF), for the Attractive Ellipsoid Method (AEM) is developed. Based on this, a robust control scheme is presented to ensure finite-time convergence of the solutions ...
Show more >A finite-time version, based on Implicit Lyapunov Functions (ILF), for the Attractive Ellipsoid Method (AEM) is developed. Based on this, a robust control scheme is presented to ensure finite-time convergence of the solutions of a chain of integrators with bounded output perturbations to a minimal ellipsoidal set. The control parameters are obtained by solving a minimization problem of the " size " of the ellipsoid subject to a set of Linear Matrix Inequalities (LMI's) constraints, and by applying the implicit function theorem. A numerical example is presented to support the implementability of these theoretical results.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Comment :

http://dx.doi.org/10.1080/00207179.2015.1118660

Collections :

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

Source :

Harvested from HAL

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