# State constrained patchy feedback stabilization

Abstract : We construct a patchy feedback for a general control system on $\R^n$ which realizes practical stabilization to a target set $\Sigma$, when the dynamics is constrained to a given set of states $S$. The main result is that $S$--constrained asymptotically controllability to $\Sigma$ implies the existence of a discontinuous practically stabilizing feedback. Such a feedback can be constructed in "patchy" form, a particular class of piecewise smooth controls which ensure the existence of local Carathéodory solutions to any Cauchy problem of the control system and which enjoy good robustness properties with respect to both measurement errors and external disturbances.
Type de document :
Pré-publication, Document de travail
36 pages, 7 figures. 2012
Liste complète des métadonnées

https://hal.inria.fr/hal-00724849
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 18:31:39
Dernière modification le : lundi 12 février 2018 - 14:24:05

### Identifiants

• HAL Id : hal-00724849, version 1
• ARXIV : 1206.5572

### Citation

Fabio S. Priuli. State constrained patchy feedback stabilization. 36 pages, 7 figures. 2012. 〈hal-00724849〉

### Métriques

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