 |
Finite-time tracking control of a nonlinear string to reference dynamics
1 : Sorbonne Université
-
Website
Sorbonne Université
15-21 Rue de l'École de Médecine, 75006 Paris -
France
2 : Sciences et Technologies de la Musique et du Son
(STMS)
-
Website
IRCAM, Sorbonne Université, Centre National de la Recherche Scientifique : UMR9912
1 Place Igor Stravinsky 75004 PARIS -
France
3 : CNRS
* : Corresponding author
Centre National de la Recherche Scientifique - CNRS
7 Rue Guy Môquet, 94800 Villejuif -
France
This paper is concerned with the active control of a string. A nonlinear Kirchhoff-Carrier model of the transverse vibration of a string is considered (presenting a pitch glide at high excitation levels), controlled by a force in its domain. A finite-time tracking controller is designed for a point force, that controls one mode of the string to reference dynamics corresponding to a string with other physical parameters. We illustrate in a simulation how the controller can be used to modify the damping, resonance frequency or the presence of a pitch glide for the selected mode of vibration of the string.
