FxLMS versus H∞ Control for Broadband Acoustic Noise Attenuation in a Cavity

Boultifat, Chaouki Nacer Eddine; Loiseau, Paul; Chevrel, Philippe; Lohéac, Jérôme; Yagoubi, Mohamed

doi:10.1016/j.ifacol.2017.08.1277

Cited by 7 publications

(6 citation statements)

References 15 publications

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“…This is by no means the purpose of the current paper. However, it can be noted that the results obtained in [29] in the SISO case show that the present strategy is better suited to evaluate achievable performances accurately.…”

Section: Introductionmentioning

confidence: 81%

“…In fact, the extensive literature dedicated to this subject refers to the FxLMS adaptive control strategy and its numerous variants [12,26,27,28], whose robustness is not yet fully established. Elements of a comparison between the FxLMS strategy and the approach proposed in this paper can be found in [29]. This is by no means the purpose of the current paper.…”

Section: Introductionmentioning

confidence: 99%

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Robust active noise control in a car cabin: Evaluation of achievable performances with a feedback control scheme

Loiseau

Chevrel

Yagoubi

et al. 2018

Control Engineering Practice

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Section: Introductionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Robust active noise control in a car cabin: Evaluation of achievable performances with a feedback control scheme

Loiseau

Chevrel

Yagoubi

et al. 2018

Control Engineering Practice

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“…Formula (31) shows that as the constant Δ tends to 0, the maximum energy of the improved algorithm will never exceed 1. erefore, the proposed algorithm is H ∞ optimal, and the system has good stability [29].…”

mentioning

confidence: 98%

Improved Variable Step Size Least Mean Square Algorithm for Pipeline Noise

Zhang

Yang

Liu

et al. 2022

Scientific Programming

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In this study, we employ the active noise control (ANC) method to eliminate the low-frequency part of the noise generated by the rotation of the axial fan in heating, ventilation, and air-conditioning (HVAC) pipelines. Because the traditional variable step size least mean square (VSS-LMS) algorithm has poor tracking performance, we propose a variable step size filtered-X least mean square (FXLMS) algorithm based on the arctangent function to improve the adaptive filtering method of the convergence speed and noise cancellation effect. The step size of the proposed algorithm can be adjusted according to the error. When the error signal is significant, a larger step can be obtained, and when the error is small, the step size smoothness of the algorithm can be optimized. Compared with the traditional VSS-LMS algorithm, the convergence speed of the proposed algorithm is increased by 29%, the noise reduction effect is enhanced by 19%, and the mean square error (MSE) is reduced by 23% (0.0084). In addition, we developed a hardware experimental platform based on noise characteristics. In the noise reduction test using a GB/T 5836.2-06 standard PVC pipeline, the system reduced the noise by 12–17 dB.

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“…Different control strategies are dedicated to ANC and extensive literature refers to adaptive control strategies such as FxLMS algorithm and its extensions or robust control such as LQG, H 2 and H ∞ or mixed H 2 − H ∞ control approaches [1,5,21,23,24,25]. These types of control generally aim at asymptotic attenuation or attenuation at certain frequency ranges.…”

mentioning

confidence: 99%

“…This model is inspired from the experimental setup already used in [4,5,21,22], and is schematized in Figure 1. Specifically, this experimental setup it is an elongated cavity.…”

mentioning

confidence: 99%

Exact noise cancellation for 1d-acoustic propagation systems

Lohéac¹,

Boultifat²,

Chevrel³

et al. 2022

MCRF

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<p style='text-indent:20px;'>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.</p>

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FxLMS versus H∞ Control for Broadband Acoustic Noise Attenuation in a Cavity

Cited by 7 publications

References 15 publications

Robust active noise control in a car cabin: Evaluation of achievable performances with a feedback control scheme

Robust active noise control in a car cabin: Evaluation of achievable performances with a feedback control scheme

Improved Variable Step Size Least Mean Square Algorithm for Pipeline Noise

Exact noise cancellation for 1d-acoustic propagation systems

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