| Issue |
ESAIM: COCV
Volume 3, 1998
|
|
|---|---|---|
| Page(s) | 315 - 321 | |
| DOI | https://doi.org/10.1051/cocv:1998112 | |
| Published online | 15 August 2002 | |
Tracking control of a vibrating string with an interior mass viewed as delay system
1
(mounier@ief.u-psud.fr)
2
(rudolph@erss11.et.tu-dresden.de)
3
(fliess@cmla.ens-cachan.fr)
4
(rouchon@cas.ensmp.fr)
A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.
Résumé
Nous considérons une corde vibrante, avec masse intérieure, modélisée par l'équation des ondes, comme un système linéaire à retards. La poursuite de trajectoires est résolue grâce à un nouveau type de commandabilité.
Key words: ibrating strings / wave equation / tracking control / π-freeness / flatness.
© EDP Sciences, SMAI, 1998
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