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Experimental continuation of the bowed string
Funded by French national research project ANR Frictional coordinated by Soizic Terrien.
The conservation of musical instruments: characterization of the electromagnetic loudspeaker used in early Ondes Martenot diffuseurs
Finite-time control of hybrid vibratory systems coupling PDEs to ODEs: the cases of the tom-tom drum and the overhead crane
The first contribution of this PhD thesis consists of the combination of a finite-time control law (for efficiency) with passivity (in order to guarantee robustness against, for example, a bad identification of the model parameters), for the case of a second order ODE. This control law is used to control a loudspeaker in order to achieve an electroacoustic absorber. Next, a passive numerical method is proposed that is able to cope with the intrinsic stiffness present in ODEs controlled in finite-time. Finally, a second application concerning the control of a nonlinear string using finite-time tracking control is proposed.
The second contribution is concerned with the finite-time control of hybrid systems coupling a hyperbolic PDE to an ODE. Two specific cases of vibratory systems are developed : a tom-tom drum (percussion instrument that has been augmented by a feedback on a loudspeaker) and a moving platform to which a heavy cable is attached (a model for the 2D movement present in a construction or overhead crane). An observer-regulator is designed for the tom-tom drum using a modal approach, that is implemented on a prototype for an experimental assessment. A finite-time stabilization of the 2D crane model is achieved based on an existing theorem for the finite-time boundary control of a hyperbolic PDE.
PhD defense on Monday July 5th, 2.30 pm at Ircam
Supervisors: Brigitte d'Andréa-Novel, Thomas Hélie, Lionel Rosier, David Roze
Thesis committee: Yann Le Gorrec, Cyril Touzé, Pascal Morin, Andrey Polyakov
Funded by French national research project ANR Finite4SoS coordinated by Wilfrid Perruquetti.
