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Design and Analysis of Linear Quadratic Gaussian Feedforward Controllers for Active Noise Control
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
2014 (English)In: IEEE Transactions on Audio, Speech, and Language Processing, ISSN 1558-7916, E-ISSN 1558-7924, Vol. 22, no 12, 1777-1791 p.Article in journal (Refereed) Published
Abstract [en]

A method for sound field control applied to active noise control is presented and evaluated. The method uses Linear Quadratic Gaussian (LQG) feedforward control to find a Minimal Mean Square Error (MMSE)-optimal linear sound field controller under a causality constraint. It is obtained by solving a polynomial matrix spectral factorization and a linear (Diophantine) polynomial matrix equation. An important component in the design is the control signal penalty term of the criterion. Its use and influence is here discussed and evaluated using measured room impulse responses. The results indicate that the use of a relatively simple, frequency-weighted penalty on individual control signals provides most of the benefits obtainable by the considered more advanced alternative. We also introduce and illustrate several tools for performance analysis. An analytical expression for the attainable performance clearly reveals the performance loss generated by having to use a causal controller instead of the ideal noncausal controller. This loss is largest at low frequencies. Furthermore, we introduce a measure of the reproducibility of the target noise sound field with given control loudspeaker setups and room transfer functions. It describes how well a controller that uses an input subspace of dimension equal to the effective rank of the system is able to reproduce a target sound field. This performance measure can e.g. be used to support the selection of good combinations of placements of control loudspeakers.

Place, publisher, year, edition, pages
2014. Vol. 22, no 12, 1777-1791 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-223813DOI: 10.1109/TASLP.2014.2349856ISI: 000341627500008OAI: oai:DiVA.org:uu-223813DiVA: diva2:714318
Funder
Swedish Research Council, 2009-5527
Available from: 2014-04-27 Created: 2014-04-27 Last updated: 2017-12-05Bibliographically approved
In thesis
1. Linear Quadratic Gaussian Controllers for Feedforward Active Noise Control: Pushing Performance and Moving Towards Adaptive Control
Open this publication in new window or tab >>Linear Quadratic Gaussian Controllers for Feedforward Active Noise Control: Pushing Performance and Moving Towards Adaptive Control
2014 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Active noise control is a research area focused on using destructive interference of sound fields to attenuate undesired noise. Methods for active noise control are best suited for low frequency noise, as the complexity of the problem grows rapidly with frequency. Coincidentally, passive means of damping have the opposite quality in that they work better for higher frequencies and become bulky and impractical for low frequencies. Applications for active noise control range from fan noise in ducts, noise-cancelling headphones and noise in cars to propeller induced aircraft cabin noise. In this comprehensive summary, the underlying principles of active noise control are presented and the control problem is discussed. Several aspects of the control system are introduced to give an introduction to the research papers that are the basis of this licentiate thesis. The work behind the thesis is focused on a Multiple-Input Multiple-Output (MIMO) Minimal Mean Square Error (MMSE) Linear Quadratic Gaussian (LQG) feedforward controller. This controller is shown to achieve uniform damping in an extended region in space and push the upper frequency that can be controlled. The influence of different design variables has been investigated, and the properties of the control path analyzed with consideration of its ability to suppress noise of prescribed spectral properties over an extended region. In this context, it has been shown how to use the reproducibility of the primary noise path by the control path as an indication of achievable performance for a given control system. Finally, the controller has been adapted to follow changes in the primary noise statistics, an approach that seems promising to considerably raise the performance of the controller.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2014. i-xiv, 23 p.
Keyword
active noise control, ANC, LQG, feedforward control, sound field control
National Category
Control Engineering
Research subject
Electrical Engineering with specialization in Automatic Control
Identifiers
urn:nbn:se:uu:diva-223815 (URN)978-91-506-2401-4 (ISBN)
Presentation
2014-05-28, Polhemssalen, Ångströmslaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Opponent
Supervisors
Funder
Knut and Alice Wallenberg Foundation, KAW 2006.0152Swedish Research Council, 90552701
Available from: 2014-05-07 Created: 2014-04-27 Last updated: 2014-05-07Bibliographically approved

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Barkefors, AnneaSternad, MikaelBrännmark, Lars-Johan

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