Abstract
This paper proposes a numerical investigation of a controlled loudspeaker designed to absorb acoustic plane waves at a duct termination. More precisely, a nonlinear control for a current-driven loudspeaker is presented, that relies on (1) measurements of velocity and acoustic pressure at the membrane, (2) a linear electroacoustic loudspeaker model and (3) a nonlinear finite-time control method. Numerical tests are carried out by a passive-guaranteed simulation of the loudspeaker dynamics in the port-Hamiltonian systems formalism. The sound absorption efficiency is evaluated up to 300 Hz by computing the reflected pressure at the membrane. The results are compared with a similar control architecture: the finite-time control for sound absorption proves effective, especially in the low frequency range.
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Acknowledgements
BdAN and MW are supported by ANR project Finite4SoS (ANR 15 CE23 0007). TH, DR and MW acknowledge ANR-DFG project INFIDHEM (ANR 16 CE92 0028).
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Lebrun, T., Wijnand, M., Hélie, T., Roze, D., d’Andréa-Novel, B. (2020). Electroacoustic Absorbers Based on Passive Finite-Time Control of Loudspeakers: A Numerical Investigation. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-34747-5_3
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