Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise

Stationary random noise can be modelled as a wide-sense stationary white noise filtered by a minimum phase filter. Such filter can be used to design an optimal control filter minimising variance of the signal being the effect of the noise and the secondary sound interference. However,...

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Main Authors: Mariusz LATOS, Marek PAWEŁCZYK
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2014-09-01
Series:Archives of Acoustics
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Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/593
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author Mariusz LATOS
Marek PAWEŁCZYK
author_facet Mariusz LATOS
Marek PAWEŁCZYK
author_sort Mariusz LATOS
collection DOAJ
description Stationary random noise can be modelled as a wide-sense stationary white noise filtered by a minimum phase filter. Such filter can be used to design an optimal control filter minimising variance of the signal being the effect of the noise and the secondary sound interference. However, in many environments the noise is subject to change. For instance, some of the noisy devices are switched on and off, speed of some rotors or fans changes, etc. As a result contribution of different frequency components may significantly vary in time. Solving the optimisation problem to update control filter is rather avoided in on-line systems. In adaptive approach there are problems with convergence or some unpleasant transient acoustic effects. In this paper, the fixed-parameter approach to control is appreciated. Dominating frequency components/bands can usually be distinguished for the acoustic environment. Then, the idea of generalised disturbance defined by a frequency window of different type can be applied. If a reference signal, correlated with the disturbance to be reduced is available in advance, a feedforward structure can be applied, and otherwise, a feedback structure is used. Spectral and inner-outer factorisations are employed in order to cope with non-minimum phase character of the acousto-electric plant. Efficiency of the proposed approach for both control structures is verified based on the data obtained from an active personal headset. The generalised disturbance based control systems are confronted with the classical Wiener control systems designed for the given disturbance.
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publishDate 2014-09-01
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spelling doaj-art-1811e7d2e1a14fb083cb6a964337fdec2025-08-20T03:50:45ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-09-01344Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary NoiseMariusz LATOS0Marek PAWEŁCZYK1Silesian University of Technology, Institute of Automatic ControlSilesian University of Technology, Institute of Automatic ControlStationary random noise can be modelled as a wide-sense stationary white noise filtered by a minimum phase filter. Such filter can be used to design an optimal control filter minimising variance of the signal being the effect of the noise and the secondary sound interference. However, in many environments the noise is subject to change. For instance, some of the noisy devices are switched on and off, speed of some rotors or fans changes, etc. As a result contribution of different frequency components may significantly vary in time. Solving the optimisation problem to update control filter is rather avoided in on-line systems. In adaptive approach there are problems with convergence or some unpleasant transient acoustic effects. In this paper, the fixed-parameter approach to control is appreciated. Dominating frequency components/bands can usually be distinguished for the acoustic environment. Then, the idea of generalised disturbance defined by a frequency window of different type can be applied. If a reference signal, correlated with the disturbance to be reduced is available in advance, a feedforward structure can be applied, and otherwise, a feedback structure is used. Spectral and inner-outer factorisations are employed in order to cope with non-minimum phase character of the acousto-electric plant. Efficiency of the proposed approach for both control structures is verified based on the data obtained from an active personal headset. The generalised disturbance based control systems are confronted with the classical Wiener control systems designed for the given disturbance. https://acoustics.ippt.pan.pl/index.php/aa/article/view/593active noise controlacousto-electric pathfixed-parameter controlnon-stationary noisefeedforward controlfeedback control
spellingShingle Mariusz LATOS
Marek PAWEŁCZYK
Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
Archives of Acoustics
active noise control
acousto-electric path
fixed-parameter control
non-stationary noise
feedforward control
feedback control
title Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
title_full Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
title_fullStr Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
title_full_unstemmed Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
title_short Feedforward vs. Feedback Fixed-Parameter H2 Control of Non-Stationary Noise
title_sort feedforward vs feedback fixed parameter h2 control of non stationary noise
topic active noise control
acousto-electric path
fixed-parameter control
non-stationary noise
feedforward control
feedback control
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/593
work_keys_str_mv AT mariuszlatos feedforwardvsfeedbackfixedparameterh2controlofnonstationarynoise
AT marekpawełczyk feedforwardvsfeedbackfixedparameterh2controlofnonstationarynoise