Finite-time tracking control of a nonlinear string to reference dynamics

Marc Wijnand (1) , Thomas Hélie (1) , David Roze (1)

1 S3AM - Systèmes et Signaux Sonores : Audio/Acoustique, instruMents

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.

Domaines: Automatique / Robotique; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]; Systèmes dynamiques [math.DS]

Marc Wijnand, Thomas Hélie, David Roze. Finite-time tracking control of a nonlinear string to reference dynamics. ENOC 2020+2 (10th European Nonlinear Dynamics Conference), Jul 2022, Lyon, France. ⟨hal-03774229⟩