An IIR Youla-Kucera parametrized adaptive feedforward compensator for active vibration control with mechanical coupling

Adaptive feedforward broadband vibration (or noise) compensation is currently used when a measurement correlated with the disturbance is available. However, in most of the systems there is a “positive” feedback coupling between the compensator system and the disturbance correlated measurement. This may lead to the instability of the system. The paper proposes a new Youla-Kucera (YK) parametrization of the compensator. The central compensator assures the stability of the system and its performances are enhanced in real time by the adaptation of the parameters of an IIR Youla-Kucera filter. An analysis of the resulting system is provided. The results of this paper on one hand generalize previous results obtained for FIR Youla-Kucera adaptive filters and on the other hand lead to a significant reduction of the number of parameter to be adapted for the same level of performance. The algorithm has been applied to an Active Vibration Control (AVC) system and real time results are presented.

[1]  S.J. Elliott,et al.  Active noise control , 1993, IEEE Signal Processing Magazine.

[2]  P. Kumar,et al.  Theory and practice of recursive identification , 1985, IEEE Transactions on Automatic Control.

[3]  S. J. Elliott.  Down with noise [active noise control] , 1999 .

[4]  Ioan Doré Landau,et al.  Recursive algorithms for identification in closed loop: A unified approach and evaluation , 1997, Autom..

[5]  Ioan Doré Landau,et al.  Adaptive feedforward compensation algorithms for active vibration control with mechanical coupling , 2011, Autom..

[6]  J. W. Modestino,et al.  Adaptive Control , 1998 .

[7]  Jwu-Sheng Hu,et al.  Feedforward active noise controller design in ducts without independent noise source measurements , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[8]  Ioan Doré Landau,et al.  A Youla-Kucera parametrized adaptive feedforward compensator for active vibration control , 2011 .

[9]  Wei Ren,et al.  Convergence analysis of the filtered-U algorithm for active noise control , 1999, Signal Process..

[10]  Jie Zeng,et al.  Recursive filter estimation for feedforward noise cancellation with acoustic coupling , 2006 .

[11]  Sen M. Kuo,et al.  Active Noise Control Systems: Algorithms and DSP Implementations , 1996 .

[12]  Graham C. Goodwin,et al.  Adaptive filtering prediction and control , 1984 .

[13]  Brian D. O. Anderson,et al.  From Youla-Kucera to Identification, Adaptive and Nonlinear Control , 1998, Autom..

[14]  C.R. Johnson,et al.  Stability of active noise control algorithms , 2001, IEEE Signal Processing Letters.

[15]  Ioan Doré Landau,et al.  Design and Tuning of Reduced Order H-Infinity Feedforward Compensators for Active Vibration Control , 2012, IEEE Transactions on Control Systems Technology.

[16]  T. J. Sutton,et al.  Performance of feedforward and feedback systems for active control , 1996, IEEE Trans. Speech Audio Process..