Active Rejection of Harmonic Disturbances with Nonstationary Harmonically Related Frequencies Using Varying-Sampling-Time LPV Control

Abstract:

This paper presents a method for the active noise and vibration control (ANC/AVC) of harmonically related nonstationary disturbances using varying-sampling-time linear parameter-varying (LPV) controller. The frequencies are assumed to be known and varying within given ranges and they are multiples of one fundamental frequency.

• Periodical: Solid State Phenomena (Volume 248)
• Pages: 19-26
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.248.19
• Online since: March 2016
• Authors: Xin Yu Shu, Pablo Ballesteros, Christian Bohn*
• Keywords: Active Noise Control, Active Vibration Control, Disturbance Rejection, Gain Scheduling, Linear Parameter-Varying Systems, Time-Varying Sampling Time

References

[1] Du, H. and X. Shi. 2002. Gain-scheduled control for use in vibration suppression of system with harmonic excitation. Proceedings of the American Control Conference. Anchorage, May 2002. 4668-69.

DOI: 10.1109/acc.2002.1025392

[2] Du, H., L. Zhang and X. Shi. 2003. LPV technique for the rejection of sinusoidal disturbance with time-varying frequency. IEE Proceedings on Control Theory and Applications 150: 132-38.

DOI: 10.1049/ip-cta:20030101

[3] Shu, X., P. Ballesteros and C. Bohn. 2011. Active vibration control for harmonic disturbances with time-varying frequencies through LPV gain scheduling. Proceedings of the Chinese Control and Decision Conference. Mianyang, China, May 2011. 728-33.

DOI: 10.1109/ccdc.2011.5968278

[4] Ballesteros, P. and C. Bohn. 2011. A frequency-tunable LPV controller for narrowband active noise and vibration control. Proceedings of the American Control Conference. San Francisco, June 2011. 1340-45.

DOI: 10.1109/acc.2011.5990775

[5] Ballesteros P. and C. Bohn. 2011. Disturbance rejection through LPV gain-scheduling control with application to active noise cancellation. Proceedings of the IFAC World Congress. Milan, August 2011. 7897-902.

DOI: 10.3182/20110828-6-it-1002.00830

[6] Ballesteros, P., X. Shu, W. Heins, and C. Bohn. 2012. LPV gain-scheduling output feedback for active control of harmonic disturbances with time-varying frequencies. In: M. Zapateiro and F. Pozo (eds. ), Advances on Analysis and Control of Vibrations – Theory and Applications. Rijeka, Croatia: InTech. 65-86. Available: http: /dx. doi. org/10. 5772/50294.

DOI: 10.5772/50294

[7] Darengosse, C., P. Chevrel. 2000. Linear parameter-varying controller design for active power filters. Proceedings of the IFAC Conference on Control Systems Design. Bratislava, 2000. 65-70.

DOI: 10.1016/s1474-6670(17)37167-7

[8] Witte, J., H. M. N. K. Balini and C. W. Scherer. 2010. Experimental results with stable and unstable LPV controllers for active magnetic bearing systems. Proceedings of the IEEE International Conference on Control Applications. Yokohama, September 2010. 950-55.

DOI: 10.1109/cca.2010.5611087

[9] Füger, T, N. Lachhab and F. Svaricek. 2012. Parameterreduktion zur Störunterdrückung mit einem diskreten LPV-Regler. Proceedings of the Workshop of the GMA FA 1. 40. Salzburg, September 2012. (In German, Parameter reduction for disturbance rejection with a discrete-time LPV controller. ).

DOI: 10.3182/20130204-3-fr-2033.00158

[10] Füger, T., N. Lachhab and F. Svaricek. 2013. Parameter reduction for disturbance attenuation with a discrete-time LPV controller. Proceedings of the IFAC 5th Symposium on System Structure and Control (Joint Conference). Grenoble, France, February 2013. 791-96.

DOI: 10.3182/20130204-3-fr-2033.00158

[11] Ballesteros, P., X. Shu, W. Heins and C. Bohn. 2013. Reduced-order two-parameter pLPV controller for the rejection of nonstationary harmonically related multisine disturbances. Proceedings of the European Control Conference. Zurich, July 2013. 1835-42.

DOI: 10.23919/ecc.2013.6669358

[12] Shu, X., W. Heins, P. Ballesteros and C. Bohn. 2013. Two-parameter pLPV modeling of nonstationary harmonically related multisine disturbances for reduced-order gain-scheduling control. Proceedings of the IAESTED International Conference on Modelling, Identification and Control. Innsbruck, February 2013. 404-11.

DOI: 10.23919/ecc.2013.6669358

[13] Shu, X., P. Ballesteros, W. Heins and C. Bohn. 2013. Design of structured discrete-time LPV gain-scheduling controllers through state augmentation and partial state feedback. Proceedings of the American Control Conference. Washington, DC, June 2013. 6105-10.

DOI: 10.1109/acc.2013.6580793

[14] Ballesteros, P., X. Shu and C. Bohn. 2014. A discrete-time MIMO LPV controller for the rejection of nonstationary harmonically related multisine disturbances. Proceedings of the American Control Conference. Portland, June 2014. 4464-69.

DOI: 10.1109/acc.2014.6858793

[15] Ballesteros, P., X. Shu and C. Bohn. 2014. Discrete-time switching MIMO LPV gain-scheduling control for the reduction of engine induced vibrations in vehicles. Proceedings of the IFAC World Congress. Cape Town, August 2014. 7572-78.

DOI: 10.3182/20140824-6-za-1003.00882

[16] Ballesteros, P., X. Shu and C. Bohn. 2014. Active control of engine induced vibrations in automotive vehicles through LPV gain-scheduling. Accepted for publication. SAE World Congress. Detroit, April 2014. 264-72.

DOI: 10.4271/2014-01-1686

[17] Kinney, C. E. and R. A. de Callafon. 2006. Scheduling control for periodic disturbance attenuation. Proceedings of the American Control Conference. Minneapolis, June 2006. 4788-93.

DOI: 10.1109/acc.2006.1657478

[18] Köroğlu, H. and C. W. Scherer. 2008. LPV control for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies. Proceedings of the IFAC World Congress. Seoul, July 2008, 4928-33.

DOI: 10.3182/20080706-5-kr-1001.00828

[19] Heins, W., P. Ballesteros and C. Bohn. 2011. Gain-scheduled state-feedback control for active cancellation of multisine disturbances with time-varying frequencies. MARDiH Conference on Active Noise and Vibration Control Methods. Wojanow, Poland, June 2011. 45-62. Available: http: /www. vibrationcontrol. pl/_file/pdfs/p.45.

DOI: 10.1109/acc.2012.6315059

[20] Heins, W., P. Ballesteros, X. Shu and C. Bohn. 2012. LPV gain-scheduled observer-based state feedback for active control of harmonic disturbances with time-varying frequencies. In: M. Zapateiro and F. Pozo (eds. ), Advances on Analysis and Control of Vibrations – Theory and Applications. Rijeka, Croatia: InTech. 35-64. Available: http: /dx. doi. org/10. 5772/50293.

DOI: 10.5772/50293

[21] Heins, W., P. Ballesteros and C. Bohn. 2012. Experimental evaluation of an LPV-gain-scheduled observer for rejecting multisine disturbances with time-varying frequencies. Proceedings of the American Control Conference. Montreal, June 2012. 768-74.

DOI: 10.1109/acc.2012.6315059

[22] Bohn, C., A. Cortabarria, V. Härtel and K. Kowalczyk. 2003. Disturbance-observer-based active control of engine-induced vibrations in automotive vehicles. Proceedings of the SPIE's Annual International Symposium on Smart Structures and Materials. San Diego, March 2003. 5049-68.

DOI: 10.1117/12.482709

[23] Bohn, C., A. Cortabarria, V. Härtel and K. Kowalczyk. 2004. Active control of engine-induced vibrations in automotive vehicles using disturbance observer gain scheduling. Control Engineering Practice 12: 1029-39.

DOI: 10.1016/j.conengprac.2003.09.008

[24] Kinney, C. E. and R. A. de Callafon. 2006. An adaptive internal model-based controller for periodic disturbance rejection. Proceedings of the IFAC Symposium on System Identification. Newcastle, Australia, March 2006. 273–78.

DOI: 10.3182/20060329-3-au-2901.00038

[25] Kinney, C. E. and R. A. de Callafon. 2007. A comparison of fixed point designs and time-varying observers for scheduling repetitive controllers. Proceedings of the IEEE Conference on Decision and Control. New Orleans, December 2007. 2844-49.

DOI: 10.1109/cdc.2007.4434873

[26] Kuo, S. M. and D. R. Morgan. 1996. Active Noise Control Systems. New York: Wiley.

[27] Francis, B. and W. Wonham. 1976. The internal model principle of control theory. Automatica 12: 457-65.

DOI: 10.1016/0005-1098(76)90006-6

[28] Shu, X., P. Ballesteros and C. Bohn. 2014. LPV gain-scheduling control with time-varying sampling time for rejecting nonstationary harmonically related multisine disturbances. Proceedings of the UKACC International Conference on Control. Loughborough, July 2014. 72-77.

DOI: 10.1109/control.2014.6915117

[29] Amato, F. 2006. Robust control of linear systems subject to uncertain time-varying parameters. Berlin: Springer.