3Ecole Centrale de Lille (Cité Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex - France)
Abstract : 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.
Type de document :
Communication dans un congrès
54th conference on Decision and Control, Dec 2015, Osaka, Japan
https://hal.inria.fr/hal-01212602
Contributeur : Andrey Polyakov
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Soumis le : mardi 6 octobre 2015 - 22:20:09
Dernière modification le : vendredi 13 avril 2018 - 01:25:21
Document(s) archivé(s) le : jeudi 7 janvier 2016 - 11:04:33
Manuel Mera, Andrey Polyakov, Wilfrid Perruquetti, Gang Zheng. Finite-time Attractive Ellipsoid Method Using Implicit Lyapunov Functions. 54th conference on Decision and Control, Dec 2015, Osaka, Japan. 〈hal-01212602〉
