On Consistent Discretization of Finite-time Stable Homogeneous Differential Inclusions
Résumé
This paper deals with the problem of consistent discretization of the generalized homogeneous differential inclusions which appear, in particular, as mathematical models of many sliding mode systems. An algorithm of consistent implicit discretization for homogeneous finite-time stable system is developed. It preserves the finite-time stability property and reduces the numerical chattering. The scheme is demonstrated for the so-called "nested" second order sliding mode algorithm.
Domaines
Automatique| Origine | Fichiers produits par l'(les) auteur(s) |
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