New Feedback Laws for Stabilization of Unstable Periodic Orbits

Abstract : In this note a gain tuning scheme for prediction-based chaos control of discrete-time systems is proposed, extending previous work by T. Ushio and S. Yamamoto. The derived control laws are proved to be stabilizing. Three different time-invariant or time-varying laws are proposed, leading to different convergence rates and sizes for the basins of attraction. The results are illustrated by numerical simulations. A parallel between finding unstable periodic orbits and chaos control is done.
Type de document :
Communication dans un congrès
8th IFAC Symposium on Nonlinear Control Systems (2010), Sep 2010, Bologna, Italy. IFAC, 2010, 〈10.3182/20100901-3-IT-2016.00139〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00793631
Contributeur : Roc Pretdoc <>
Soumis le : vendredi 22 février 2013 - 16:30:17
Dernière modification le : mercredi 30 mai 2018 - 10:55:50

Identifiants

Collections

Citation

Thiago Pereira das Chaga, Pierre-Alexandre Bliman, Karl-Heinz J. Kienitz. New Feedback Laws for Stabilization of Unstable Periodic Orbits. 8th IFAC Symposium on Nonlinear Control Systems (2010), Sep 2010, Bologna, Italy. IFAC, 2010, 〈10.3182/20100901-3-IT-2016.00139〉. 〈hal-00793631〉

Partager

Métriques

Consultations de la notice

151