One-dimensional acoustic propagation model and spatial multi-point active noise control

This paper deals with active noise control (ANC) on a broadband frequency range for a 3D-cylindrical cavity closed on two sides. A 1D acoustic model is first derived by averaging the pressure on surfaces that are perpendicular to the acoustic propagation direction. Based on the novel analytic model proposed, robust Multi-Objective H∞ control (MOH∞) is considered to explore the possibilities of noise attenuation not only at the error signal got from the microphone, but around. The SISO feedback control scheme considered (one microphone measuring the residual noise and one loudspeaker) has no direct information on the disturbance noise. Within this framework, the achievable attenuations both with regard to frequency and to space are discussed.

[1]  Ian R. Petersen,et al.  Experiments in feedback control of an acoustic duct , 2000, Proceedings of the 2000. IEEE International Conference on Control Applications. Conference Proceedings (Cat. No.00CH37162).

[2]  Loiseau Paul,et al.  Broadband Active Noise Control Design through Nonsmooth H∞ Synthesis , 2015 .

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

[4]  Zhenyu Yang.  Design of active noise control using feedback control techniques for an acoustic duct system , 2004, IEEE Conference on Robotics, Automation and Mechatronics, 2004..

[5]  Jonathan P. How,et al.  An H_∞-optimal alternative to the FxLMS algorithm , 1998 .

[6]  Pierre Apkarian,et al.  Tuning controllers against multiple design requirements , 2012, 2013 American Control Conference.

[7]  P. Apkarian,et al.  Nonsmooth H ∞ synthesis , 2005 .

[8]  Philippe Chevrel,et al.  FxLMS versus H∞ Control for Broadband Acoustic Noise Attenuation in a Cavity , 2017 .

[9]  Clark J. Radcliffe,et al.  Experimental Verification of the Nonself-Adjoint State Space Duct Model , 1990 .

[10]  Pierre Apkarian,et al.  Mixed H2/Hinfinity Control via Nonsmooth Optimization , 2008, SIAM J. Control. Optim..

[11]  Bart De Moor,et al.  N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems , 1994, Autom..

[12]  Philippe Chevrel,et al.  H∞ multi-objective and multi-model MIMO control design for broadband noise attenuation in an enclosure , 2016, 2016 European Control Conference (ECC).

[13]  Boaz Rafaely,et al.  H2/H∞ active control of sound in a headrest: design and implementation , 1999, IEEE Trans. Control. Syst. Technol..

[14]  R.T. O'Brien,et al.  /spl Hscr//sub /spl infin// active noise control of fan noise in an acoustic duct , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[15]  L. R. Quartararo,et al.  Noise and Vibration Control Engineering: Principles and Applications , 1992 .

[16]  M. Bai,et al.  Plant uncertainty analysis in a duct active noise control problem by using the H ' theory , 1998 .

[17]  Pierre Apkarian,et al.  Nonsmooth H∞ synthesis , 2005, IEEE Trans. Autom. Control..

[18]  Pierre Apkarian,et al.  Mixed H2/H∞ control via nonsmooth optimization , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[19]  Scott C. Douglas,et al.  Active noise control for periodic disturbances , 2001, IEEE Trans. Control. Syst. Technol..

[20]  Ganapati Panda,et al.  Advances in active noise control: A survey, with emphasis on recent nonlinear techniques , 2013, Signal Process..

[21]  Robustness analysis for the boundary control of the string equation , 2007, 2007 European Control Conference (ECC).

[22]  Larry J. Eriksson,et al.  The selection and application of an IIR adaptive filter for use in active sound attenuation , 1987, IEEE Trans. Acoust. Speech Signal Process..

[23]  Zhenyu Yang,et al.  Theoretical modeling issue in active noise control for a one-dimensional acoustic duct system , 2009, 2008 IEEE International Conference on Robotics and Biomimetics.