Journal Articles Mathematical Control and Related Fields Year : 2022

Exact noise cancellation for 1D-acoustic propagation systems

Abstract

This paper deals with active noise control applied to a one-dimensional acoustic propagation system. The aim here is to keep over time a zero noise level at a given point. We aim to design this control using noise measurement at some point in the spatial domain. Based on symmetry property, we are able to design a feedback boundary control allowing this fact. Moreover, using D'Alembert formula, an explicit formula of the control can be computed. Even if the focus is made on the wave equation, this approach is easily extendable to more general operators.
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Dates and versions

hal-02500391 , version 1 (05-03-2020)
hal-02500391 , version 2 (19-10-2020)

Identifiers

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Jérôme Lohéac, Chaouki Nacer Eddine Boultifat, Philippe Chevrel, Mohamed Yagoubi. Exact noise cancellation for 1D-acoustic propagation systems. Mathematical Control and Related Fields, 2022, 12 (1), pp.1-16. ⟨10.3934/mcrf.2020055⟩. ⟨hal-02500391v2⟩
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