Article Dans Une Revue Moscow Mathematical Journal Année : 2016

Asymptotic control theory for a system of linear oscillators

Résumé

We present an asymptotic control theory for a system of an arbitrary number of linear oscillators under a common bounded control. We suggest a design method of a feedback control for this system. By using the DiPerna-Lions theory of singular ODEs, we prove that the suggested control law correctly defines the motion of the system. The obtained control is asymptotically optimal: the ratio of the motion time to zero under this control to the minimum one is close to 1 if the initial energy of the system is large. The results are partially based on a new perturbation theory of observable linear systems.

Dates et versions

hal-01503794 , version 1 (07-04-2017)

Identifiants

Citer

Aleksey Fedorov, Alexander Ovseevich. Asymptotic control theory for a system of linear oscillators. Moscow Mathematical Journal, 2016, 16 (3), pp.561-598. ⟨10.17323/1609-4514-2016-16-3-561-598⟩. ⟨hal-01503794⟩
134 Consultations
0 Téléchargements

Altmetric

Partager

  • More