Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling
For many adaptive noise control systems the Filtered-Reference LMS, known as the FXLMS algorithm is used to update parameters of the control filter. Appropriate adjustment of the step size is then important to guarantee convergence of the algorithm, obtain small excess mean square error, and react w...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-06-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/822 |
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| author | Sebastian KURCZYK Marek PAWELCZYK |
| author_facet | Sebastian KURCZYK Marek PAWELCZYK |
| author_sort | Sebastian KURCZYK |
| collection | DOAJ |
| description | For many adaptive noise control systems the Filtered-Reference LMS, known as the FXLMS algorithm is used to update parameters of the control filter. Appropriate adjustment of the step size is then important to guarantee convergence of the algorithm, obtain small excess mean square error, and react with required rate to variation of plant properties or noise nonstationarity. There are several recipes presented in the literature, theoretically derived or of heuristic origin.
This paper focuses on a modification of the FXLMS algorithm, were convergence is guaranteed by changing sign of the algorithm steps size, instead of using a model of the secondary path. A Takagi-Sugeno-Kang fuzzy inference system is proposed to evaluate both the sign and the magnitude of the step size. Simulation experiments are presented to validate the algorithm and compare it to the classical FXLMS algorithm in terms of convergence and noise reduction. |
| format | Article |
| id | doaj-art-5d3aa66d9f0045fdb5b35cd89612d3c8 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-06-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-5d3aa66d9f0045fdb5b35cd89612d3c82025-08-20T03:11:54ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-06-0139210.2478/aoa-2014-0028Active Noise Control Using a Fuzzy Inference System Without Secondary Path ModellingSebastian KURCZYK0Marek PAWELCZYK1Institute of Automatic Control, Silesian University of TechnologyInstitute of Automatic Control, Silesian University of TechnologyFor many adaptive noise control systems the Filtered-Reference LMS, known as the FXLMS algorithm is used to update parameters of the control filter. Appropriate adjustment of the step size is then important to guarantee convergence of the algorithm, obtain small excess mean square error, and react with required rate to variation of plant properties or noise nonstationarity. There are several recipes presented in the literature, theoretically derived or of heuristic origin. This paper focuses on a modification of the FXLMS algorithm, were convergence is guaranteed by changing sign of the algorithm steps size, instead of using a model of the secondary path. A Takagi-Sugeno-Kang fuzzy inference system is proposed to evaluate both the sign and the magnitude of the step size. Simulation experiments are presented to validate the algorithm and compare it to the classical FXLMS algorithm in terms of convergence and noise reduction.https://acoustics.ippt.pan.pl/index.php/aa/article/view/822Active Noise Controladaptive controlfuzzy inference systemFXLMSsign-varying step size. |
| spellingShingle | Sebastian KURCZYK Marek PAWELCZYK Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling Archives of Acoustics Active Noise Control adaptive control fuzzy inference system FXLMS sign-varying step size. |
| title | Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling |
| title_full | Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling |
| title_fullStr | Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling |
| title_full_unstemmed | Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling |
| title_short | Active Noise Control Using a Fuzzy Inference System Without Secondary Path Modelling |
| title_sort | active noise control using a fuzzy inference system without secondary path modelling |
| topic | Active Noise Control adaptive control fuzzy inference system FXLMS sign-varying step size. |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/822 |
| work_keys_str_mv | AT sebastiankurczyk activenoisecontrolusingafuzzyinferencesystemwithoutsecondarypathmodelling AT marekpawelczyk activenoisecontrolusingafuzzyinferencesystemwithoutsecondarypathmodelling |