Active control of the axisymmetric vibration modes of a tom-tom drum using a modal-based observer-regulator - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2020

Active control of the axisymmetric vibration modes of a tom-tom drum using a modal-based observer-regulator

Résumé

This paper deals with an application of active control of percussion instruments. Our setup consists of a tom-tom drum with a circular membrane, a cylindrical cavity and a circular rigid wall on which a loudspeaker is mounted. The current applied to the loudspeaker is controlled in order to modify the frequencies of the axisymmetric drum membrane modes. A hybrid PDE-ODE model of the axisymmetric transverse vibration of the tom-tom membrane coupled to a cavity and a loudspeaker, and its recast version as an infinite-dimensional port-Hamiltonian system, are recalled. Furthermore, a truncated modal projection of the model is provided. In a previous work, a control law for the loudspeaker current was designed that modifies the frequency of the first axisymmetric vibration mode of the drum membrane, using finite-time and passivity-based methods. In addition to a pressure sensor, a sensor for the transverse displacement of the drum membrane is needed to implement the control law. In this contribution, a finite-time observer is first designed to estimate the modal transverse displacements, removing the need for a displacement sensor. A control law for the loudspeaker current is then proposed that modifies the frequencies of multiple drum membrane modes. Finally, the control law is tested numerically on a model containing a finite number of modes. Stability and robustness of the observer-regulator controller are discussed as well as spillover effects on observation and control.
Fichier principal
Vignette du fichier
000439.pdf (681.87 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-03234055 , version 1 (26-05-2021)

Identifiants

Citer

Marc Wijnand, Brigitte d'Andréa-Novel, Thomas Hélie, David Roze. Active control of the axisymmetric vibration modes of a tom-tom drum using a modal-based observer-regulator. Forum Acusticum, Dec 2020, Lyon, France. pp.639-646, ⟨10.48465/fa.2020.0439⟩. ⟨hal-03234055⟩
122 Consultations
517 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More