Real-time Kalman filter implementation for active feedforward control of time-varying broadband noise and vibrations
conference paper
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.
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.
TNO Identifier
483538
Source title
Proceedings of the International Conference on Noise and Vibration Engineering, ISMA 2012, 17-19 September 2012, Leuven, Belgium
Pages
419-430
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