Experimental implementation of a finite-time controller for the axisymmetric vibration modes of a tom-tom drum - Institut de Recherche et Coordination Acoustique/Musique Access content directly
Preprints, Working Papers, ... Year : 2024

Experimental implementation of a finite-time controller for the axisymmetric vibration modes of a tom-tom drum

Abstract

This paper is concerned with the experimental implementation of a previously derived finite-time observer-regulator controlling the current of a loudspeaker mounted in a tom-tom drum, based on the measurement of its cavity pressure. The control goal is to modify frequency and damping of the axisymmetric vibration modes of the tom-tom membrane, by modifying the cavity volume. The first contribution constitutes the identification of the physical parameters of the tom-tom drum, such as membrane tension (from the frequencies of its observed Chladni figures) and viscous damping coefficient. Secondly, the testbench for the controller evaluation is developed. It is shown how a reproducible excitation with a drumstick can be achieved. Then, the control law is implemented on a microcontroller (Coala). A chattering phenomenon is observed, caused by the numerical stiffness of the finite-time control law, that can be removed by applying a regularization based on a local softening linear interpolation close to the origin. Finally, it is shown that the controller is able to modify frequencies of the axisymmetric vibration modes of the tom-tom membrane. However, because of the disparity between model and measurements, it is difficult to quantify the controller performance in achieving a prescribed frequency shift. It is proposed to refine the model, in particular by taking into account the sound propagation inside the cavity.
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Dates and versions

hal-04442381 , version 1 (06-02-2024)

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  • HAL Id : hal-04442381 , version 1

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Marc Wijnand, Brigitte d'Andréa-Novel, Thomas Hélie, David Roze. Experimental implementation of a finite-time controller for the axisymmetric vibration modes of a tom-tom drum. 2024. ⟨hal-04442381⟩

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