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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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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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.

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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