Sliding-mode control of retarded nonlinear systems via finite spectrum assignment approach

Toshiki Ogushi 1 Jean-Pierre Richard 2, 3
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In the present study, a sliding mode control design method based on the finite spectrum assignment procedure is proposed. The finite spectrum assignment for retarded nonlinear systems can transform retarded nonlinear systems into delay-free linear systems via a variable transformation and a feedback, which contain the past values of the state. This method can be considered to be an extension of both the finite spectrum assignment for retarded linear systems with controllability over polynomial rings of the delay operator and the exact linearization for finite dimensional nonlinear systems. The proposed method is to design a sliding surface via the variable transformation used in the finite spectrum assignment and to derive a switching feedback law. The obtained surface contains not only the current values of the state variables but also the past values of the state variables in the original coordinates. The effectiveness of the proposed method is tested by an illustrative example.
Type de document :
Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2006, 51 (9), pp.1527-1531
Liste complète des métadonnées

Littérature citée [18 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00131015
Contributeur : Jean-Pierre Richard <>
Soumis le : mercredi 14 février 2007 - 17:18:25
Dernière modification le : mardi 3 juillet 2018 - 11:22:03
Document(s) archivé(s) le : mercredi 7 avril 2010 - 00:01:11

Fichier

ri_2006_10_ogushi.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00131015, version 1

Citation

Toshiki Ogushi, Jean-Pierre Richard. Sliding-mode control of retarded nonlinear systems via finite spectrum assignment approach. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2006, 51 (9), pp.1527-1531. 〈inria-00131015〉

Partager

Métriques

Consultations de la notice

347

Téléchargements de fichiers

259