Control of mechanical systems using set based methods

Abstract : This paper considers large discrete-time linear systems obtained from discretized partial differential equations, and controlled by a quantized law, i.e., a piecewise constant time function taking a finite set of values. We show how to generate the control by, first, applying model reduction to the original system, then using a “state-space bisection” method for synthesizing a control at the reduced-order level, and finally computing an upper bound on the deviations between the controlled output trajectories of the reduced-order model and those of the original model. The effectiveness of our approach is illustrated on several examples of the literature.
Type de document :
Article dans une revue
International Journal of Dynamics and Control, Springer Berlin Heidelberg, 2017, 5 (3), pp.496-512. 〈10.1007/s40435-016-0245-y〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01241735
Contributeur : Ludovic Chamoin <>
Soumis le : jeudi 10 décembre 2015 - 22:51:28
Dernière modification le : mardi 18 décembre 2018 - 11:28:06

Identifiants

Citation

Adrien Le Coent, Florian De Vuyst, Christian Rey, Ludovic Chamoin, Laurent Fribourg. Control of mechanical systems using set based methods. International Journal of Dynamics and Control, Springer Berlin Heidelberg, 2017, 5 (3), pp.496-512. 〈10.1007/s40435-016-0245-y〉. 〈hal-01241735〉

Partager

Métriques

Consultations de la notice

414