On two hybrid robust optimal stabilization problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Tomography and Statistics Année : 2007

On two hybrid robust optimal stabilization problems

Résumé

We report on some recent results obtained by the authors concerning robust hybrid stabilization of control systems. We stated a result of semi-global minimal time robust stabilization for analytic control systems with controls entering linearly, by means of a hybrid state feedback law, under the main assumption of the absence of minimal time singular trajectories. We investigated the Martinet case, which is a model case in $\R^3$ where singular minimizers appear, and show that such a stabilization result still holds. Namely, in both cases, we prove that the solutions of the closed-loop system converge to the origin in quasi minimal time (for a given bound on the controller) with a robustness property with respect to small measurement noise, external disturbances and actuator errors.
Fichier principal
Vignette du fichier
PTifac06.pdf (117.54 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00086469 , version 1 (18-07-2006)

Identifiants

  • HAL Id : hal-00086469 , version 1

Citer

Christophe Prieur, Emmanuel Trélat. On two hybrid robust optimal stabilization problems. International Journal of Tomography and Statistics, 2007, 6 (S07), pp.86--91. ⟨hal-00086469⟩
109 Consultations
44 Téléchargements

Partager

Gmail Facebook X LinkedIn More