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Tracking control of a vibrating string with an interior mass viewed as delay system

Published online by Cambridge University Press:  15 August 2002

H. Mounier ,
J. Rudolph ,
M. Fliess  and
P. Rouchon
H. Mounier
Affiliation:
(mounier@ief.u-psud.fr)
J. Rudolph
Affiliation:
(rudolph@erss11.et.tu-dresden.de)
M. Fliess
Affiliation:
(fliess@cmla.ens-cachan.fr)
P. Rouchon
Affiliation:
(rouchon@cas.ensmp.fr)
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Abstract

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.

Keywords

ibrating stringswave equationtracking controlπ-freenessflatness.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 315 - 321
Copyright
© EDP Sciences, SMAI, 1998

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