Active control of repetitive impulsive noise in a non-minimum phase system using an optimal iterative learning control algorithm

Abstract In this paper, active control of repetitive impulsive noise is studied. An optimal iterative learning control (ILC) algorithm is developed for an active noise control (ANC) system with a non-minimum phase secondary path. A non-causal transversal finite impulse response (FIR) filter is used as the ILC learning filter, and the impulse response coefficients of the FIR filter are designed according to the asymptotically stable and monotonically convergent criterion in time domain. Computer simulations have been carried out to suggest that the proposed algorithm is effective for attenuating repetitive impulsive noise, and then the proposed algorithm has been implemented in an experimental ANC system. Experimental results show that the proposed scheme has good performance for repetitive impulsive noise attenuation in a non-minimum phase ANC system.

[1]  Håkan Hjalmarsson,et al.  A General Framework for Iterative Learning Control , 2002 .

[2]  A.G. Alleyne,et al.  A survey of iterative learning control , 2006, IEEE Control Systems.

[3]  Jan Swevers,et al.  A novel design strategy for iterative learning and repetitive controllers of systems with a high modal density: Application to active noise control , 2010 .

[4]  Qing Zhu,et al.  Simulation of active control of engine exhaust noise by variable step tracking , 2011, 2011 International Conference on Electric Information and Control Engineering.

[5]  Yin Yixin,et al.  Inverse model-based iterative learning control for active control of repetitive impulsive noise with a non-minimum phase secondary path , 2012, Proceedings of the 31st Chinese Control Conference.

[6]  Sen M. Kuo,et al.  Active noise control: a tutorial review , 1999, Proc. IEEE.

[7]  Xu Sun,et al.  Adaptive algorithm for active control of impulsive noise , 2006 .

[8]  Wim Desmet,et al.  Active control of repetitive transient noise , 2007 .

[9]  Wim Desmet,et al.  Active control of impact noise in a duct , 2003 .

[10]  Sifa Zheng,et al.  Active Noise Control for Vehicle Exhaust Noise Reduction , 2012 .

[11]  F Pfander,et al.  Danger of auditory impairment from impulse noise: A comparative study of the CHABA damage-risk criteria and those of the Federal Republic of Germany. , 1980, The Journal of the Acoustical Society of America.

[12]  C. L. Nikias,et al.  Signal processing with alpha-stable distributions and applications , 1995 .