Note on Minimax Sliding Mode Control Design for Linear Systems

Abstract : The paper studies the problem of sliding mode control design for linear systems with incomplete and noisy measurements of the output and additive/multiplicative exogenous disturbances. First, we construct a linear minimax observer to have an estimate of the system's state with minimal worst-case error. Second, we establish the optimality of the constructed observer in the class of all observers represented by measurable functionals of the output. Finally, we propose an algorithm, generating continuous and discontinuous feedbacks, which steers the observer as close as possible to a given sliding hyperplane in finite time. The optimality (sub-optimality) of the designed feedbacks is proven for the case of bounded noises and additive (multiplicative) disturbances of L 2-class. The efficacy of the proposed algorithm is illustrated by a numerical example.
Type de document :
Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 〈10.1109/TAC.2016.2612058〉
Liste complète des métadonnées

Littérature citée [25 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01371091
Contributeur : Andrey Polyakov <>
Soumis le : vendredi 23 septembre 2016 - 19:55:33
Dernière modification le : jeudi 11 janvier 2018 - 06:27:32

Fichier

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

Identifiants

Collections

Citation

Sergiy Zhuk, Andrey Polyakov, Olexander Nakonechnyi. Note on Minimax Sliding Mode Control Design for Linear Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 〈10.1109/TAC.2016.2612058〉. 〈hal-01371091〉

Partager

Métriques

Consultations de la notice

178

Téléchargements de fichiers

86