Real-time Kalman filter implementation for active feedforward control of time-varying broadband noise and vibrations

S. van Ophem, Arthur P. Berkhoff

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    Abstract

    Tracking behavior and the rate of convergence are critical properties in active noise control applications with time-varying disturbance spectra. As compared to the standard filtered-reference Least Mean Square (LMS) algorithm, improved convergence can be obtained with schemes based on preconditioning, affine projections, Recursive Least Squares (RLS), and other methods. The RLS method potentially leads to very fast convergence but straightforward implementations may suffer from round-off errors and suboptimal tracking behavior. In this paper a Kalman filter approach is used which, as compared to RLS, includes a covariance weighting for model output errors in order to improve tracking behavior and robustness. An orthogonal transformation scheme was used to reduce the influence for round-off errors of the Kalman recursions. In this paper an extension is given for multiple input multiple output systems, and results of a real-time implementation are presented. Conclusions are given regarding the suitability for real-time implementation of previous formulations. Different parameterizations of the secondary path model between the active control source and the error sensor are compared. Real-time results demonstrate the rapid convergence for reduction of noise in a duct, as well as numerical stability during extended operation intervals.
    Original languageUndefined
    Title of host publicationProceedings of the International Conference on Noise and Vibration Engineering, ISMA 2012
    EditorsP Sas, S. Jonckheere, D. Moens
    Place of PublicationHeverlee
    PublisherKatholieke Universiteit Leuven
    Pages419-430
    Number of pages12
    ISBN (Print)9789073802896
    Publication statusPublished - 17 Sep 2012
    Event25th International Conference on Noise and Vibration Engineering, ISMA 2012 - Leuven, Belgium
    Duration: 17 Sep 201219 Sep 2012
    Conference number: 25
    http://past.isma-isaac.be/isma2012

    Publication series

    Name
    PublisherKatholieke Universiteit Leuven

    Conference

    Conference25th International Conference on Noise and Vibration Engineering, ISMA 2012
    Abbreviated titleISMA
    CountryBelgium
    CityLeuven
    Period17/09/1219/09/12
    Internet address

    Keywords

    • EWI-22513
    • IR-82163
    • Adaptive filtering
    • METIS-289782
    • Active noise control
    • Active vibration control
    • Acoustics

    Cite this

    van Ophem, S., & Berkhoff, A. P. (2012). Real-time Kalman filter implementation for active feedforward control of time-varying broadband noise and vibrations. In P. Sas, S. Jonckheere, & D. Moens (Eds.), Proceedings of the International Conference on Noise and Vibration Engineering, ISMA 2012 (pp. 419-430). Heverlee: Katholieke Universiteit Leuven.