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Linear Quadratic Gaussian Controllers for Feedforward Active Noise Control: Pushing Performance and Moving Towards Adaptive Control
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
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 [en]
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: urn:nbn:se:uu:diva-223815ISBN: 978-91-506-2401-4 (print)OAI: oai:DiVA.org:uu-223815DiVA: diva2:714762
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
List of papers
1. Extending the area silenced by active noise control using multiple loudspeakers
Open this publication in new window or tab >>Extending the area silenced by active noise control using multiple loudspeakers
2012 (English)In: Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference, 2012, 325-328 p.Conference paper, Published paper (Refereed)
Abstract [en]

Active noise control is of increasing interest in e.g. cars, but the zone of noise damping becomes limited in reverberant environments. We investigate the possibility of extending this spatial zone significantly, by using multiple control loudspeakers. MIMO feedforward controllers designed by linear quadratic control theory are here shown to increase the limiting frequency for uniform damping in a 0.3×0.3 m test area, from 200 Hz to around 600 Hz.

National Category
Signal Processing
Research subject
Electrical Engineering with specialization in Signal Processing
Identifiers
urn:nbn:se:uu:diva-181013 (URN)10.1109/ICASSP.2012.6287882 (DOI)000312381400080 ()978-1-4673-0044-5 (ISBN)
Conference
IEEE International Conference on Acoustics, Speech and Signal Processing, 25-30 March, 2012 ICASSP, Kyoto, Japan
Available from: 2012-09-14 Created: 2012-09-14 Last updated: 2014-05-07Bibliographically approved
2. MIMO design of active noise controllers for car interiors: Extending the silenced region at higher frequencies
Open this publication in new window or tab >>MIMO design of active noise controllers for car interiors: Extending the silenced region at higher frequencies
2012 (English)In: 2012 American Control Conference, Montréal, Canada, 2012, 6140-6147 p.Conference paper, Published paper (Refereed)
National Category
Signal Processing
Research subject
Electrical Engineering with specialization in Signal Processing
Identifiers
urn:nbn:se:uu:diva-181008 (URN)
Conference
2012 American Control Conference, Montréal, Canada
Available from: 2012-09-14 Created: 2012-09-14 Last updated: 2014-05-07
3. An investigation of a theoretical tool for predicting performance of an active noise control system.
Open this publication in new window or tab >>An investigation of a theoretical tool for predicting performance of an active noise control system.
2012 (English)In: 19th International Congress on Sound and Vibration, ICSV19, Vilnius, Lithuania, 2012, 1-8 p.Conference paper, Published paper (Refereed)
National Category
Signal Processing
Research subject
Electrical Engineering with specialization in Signal Processing
Identifiers
urn:nbn:se:uu:diva-181014 (URN)
Conference
ICSV19, Vilnius, Lithuania
Available from: 2012-09-14 Created: 2012-09-14 Last updated: 2014-05-07
4. Design and Analysis of Linear Quadratic Gaussian Feedforward Controllers for Active Noise Control
Open this publication in new window or tab >>Design and Analysis of Linear Quadratic Gaussian Feedforward Controllers for Active Noise Control
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.

National Category
Control Engineering
Identifiers
urn:nbn:se:uu:diva-223813 (URN)10.1109/TASLP.2014.2349856 (DOI)000341627500008 ()
Funder
Swedish Research Council, 2009-5527
Available from: 2014-04-27 Created: 2014-04-27 Last updated: 2017-12-05Bibliographically approved
5. Adapting an MSE controller for active noise control to nonstatic noise statistics
Open this publication in new window or tab >>Adapting an MSE controller for active noise control to nonstatic noise statistics
(English)Manuscript (preprint) (Other academic)
National Category
Control Engineering
Identifiers
urn:nbn:se:uu:diva-223814 (URN)
Available from: 2014-04-27 Created: 2014-04-27 Last updated: 2014-05-07

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