Optimisation of digitally adjustable analogue biquad filters in feedback active control

Jari Kataja, Antti Kääriä, Marko Antila

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

    Abstract

    In active cancellation of sound radiation from structures, feedback control is applied if no suitable reference is available. In feedback active control, analogue filters are typically used due to their short latency time. The filters have traditionally been simple compensators with fixed coefficients. Such compensators can be implemented as second-order biquad filters. This paper concerns the use of biquad filters with digitally adjustable parameters as analogue feedback compensators. The biquad filters can be implemented using a Field Programmable Analogue Array (FPAA) circuit. The benefit of the FPAA implementation is that the parameters are set digitally, and the zeros and poles as well as the corresponding quality factors can be easily modified. An optimisation method based on random search is proposed for optimising the coefficients of the biquad blocks. The optimisation objective is to minimise the magnitude of the transfer function from the disturbance to the error while the maximum amplification of the error is a constraint. For the design of the compensator, only the complex frequency response of the plant is required. The performance of the optimiser is evaluated with an optimiser provided in MATLAB. Using both optimisers, an optimal compensator is designed for a test plant. In this paper, the random search optimiser is described and the optimisation results are shown.
    Original languageEnglish
    Title of host publicationForum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005
    Number of pages4
    Publication statusPublished - 2005
    MoE publication typeA4 Article in a conference publication
    EventForum Acusticum 2005: 4th European Congress on Acoustics - Budapest, Hungary
    Duration: 29 Aug 20052 Sep 2005

    Conference

    ConferenceForum Acusticum 2005: 4th European Congress on Acoustics
    CountryHungary
    CityBudapest
    Period29/08/052/09/05

    Fingerprint

    Feedback
    Poles and zeros
    MATLAB
    Feedback control
    Frequency response
    Amplification
    Transfer functions
    Acoustic waves
    Radiation
    Networks (circuits)

    Keywords

    • active noise control
    • analog feedback control
    • optimisation
    • FPAA
    • biquad filter

    Cite this

    Kataja, J., Kääriä, A., & Antila, M. (2005). Optimisation of digitally adjustable analogue biquad filters in feedback active control. In Forum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005
    Kataja, Jari ; Kääriä, Antti ; Antila, Marko. / Optimisation of digitally adjustable analogue biquad filters in feedback active control. Forum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005. 2005.
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    title = "Optimisation of digitally adjustable analogue biquad filters in feedback active control",
    abstract = "In active cancellation of sound radiation from structures, feedback control is applied if no suitable reference is available. In feedback active control, analogue filters are typically used due to their short latency time. The filters have traditionally been simple compensators with fixed coefficients. Such compensators can be implemented as second-order biquad filters. This paper concerns the use of biquad filters with digitally adjustable parameters as analogue feedback compensators. The biquad filters can be implemented using a Field Programmable Analogue Array (FPAA) circuit. The benefit of the FPAA implementation is that the parameters are set digitally, and the zeros and poles as well as the corresponding quality factors can be easily modified. An optimisation method based on random search is proposed for optimising the coefficients of the biquad blocks. The optimisation objective is to minimise the magnitude of the transfer function from the disturbance to the error while the maximum amplification of the error is a constraint. For the design of the compensator, only the complex frequency response of the plant is required. The performance of the optimiser is evaluated with an optimiser provided in MATLAB. Using both optimisers, an optimal compensator is designed for a test plant. In this paper, the random search optimiser is described and the optimisation results are shown.",
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    Kataja, J, Kääriä, A & Antila, M 2005, Optimisation of digitally adjustable analogue biquad filters in feedback active control. in Forum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005. Forum Acusticum 2005: 4th European Congress on Acoustics, Budapest, Hungary, 29/08/05.

    Optimisation of digitally adjustable analogue biquad filters in feedback active control. / Kataja, Jari; Kääriä, Antti; Antila, Marko.

    Forum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005. 2005.

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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    AU - Antila, Marko

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    N2 - In active cancellation of sound radiation from structures, feedback control is applied if no suitable reference is available. In feedback active control, analogue filters are typically used due to their short latency time. The filters have traditionally been simple compensators with fixed coefficients. Such compensators can be implemented as second-order biquad filters. This paper concerns the use of biquad filters with digitally adjustable parameters as analogue feedback compensators. The biquad filters can be implemented using a Field Programmable Analogue Array (FPAA) circuit. The benefit of the FPAA implementation is that the parameters are set digitally, and the zeros and poles as well as the corresponding quality factors can be easily modified. An optimisation method based on random search is proposed for optimising the coefficients of the biquad blocks. The optimisation objective is to minimise the magnitude of the transfer function from the disturbance to the error while the maximum amplification of the error is a constraint. For the design of the compensator, only the complex frequency response of the plant is required. The performance of the optimiser is evaluated with an optimiser provided in MATLAB. Using both optimisers, an optimal compensator is designed for a test plant. In this paper, the random search optimiser is described and the optimisation results are shown.

    AB - In active cancellation of sound radiation from structures, feedback control is applied if no suitable reference is available. In feedback active control, analogue filters are typically used due to their short latency time. The filters have traditionally been simple compensators with fixed coefficients. Such compensators can be implemented as second-order biquad filters. This paper concerns the use of biquad filters with digitally adjustable parameters as analogue feedback compensators. The biquad filters can be implemented using a Field Programmable Analogue Array (FPAA) circuit. The benefit of the FPAA implementation is that the parameters are set digitally, and the zeros and poles as well as the corresponding quality factors can be easily modified. An optimisation method based on random search is proposed for optimising the coefficients of the biquad blocks. The optimisation objective is to minimise the magnitude of the transfer function from the disturbance to the error while the maximum amplification of the error is a constraint. For the design of the compensator, only the complex frequency response of the plant is required. The performance of the optimiser is evaluated with an optimiser provided in MATLAB. Using both optimisers, an optimal compensator is designed for a test plant. In this paper, the random search optimiser is described and the optimisation results are shown.

    KW - active noise control

    KW - analog feedback control

    KW - optimisation

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    M3 - Conference article in proceedings

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    Kataja J, Kääriä A, Antila M. Optimisation of digitally adjustable analogue biquad filters in feedback active control. In Forum Acusticum 2005 Conference Proceedings (on CD-ROM). Budapest, HU, 29 Aug. - 2 Sept. 2005. 2005