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Controller design for active noise control of compressor by using the time window POCS technique

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Abstract

To design an active noise controller, the transfer function between the reference signal and the error signal should be measured and defined. When the noise source operates at specific frequencies, the transfer function can only be measured at the operating frequency and its harmonics. This transfer function has reliable values only at the operating frequency and its harmonic frequencies. The frequency domain controller is implemented as an FIR filter, and the coefficients are calculated using the inverse Fourier transform. At this time, the second half part of the coefficient values of the FIR filter is high due to the insufficient frequency resolution and the unreliable transfer function. As a result, the magnitude and phase response of the filter do not follow the design values. To overcome this problem in filter design, the time window projection onto convex sets (POCS) technique is proposed. POCS technique is utilized repeatedly to make the response of the filter to converge by setting the second half part of the filter to 0, and to reassign the response in the control frequency band. The response of the converged filter was verified by comparing it with that of a time-shifting filter and Wiener filter. As a result, the FIR filter designed using POCS showed high performance, regardless of the magnitude of the disturbance and the reference signal.

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Authors and Affiliations

  1. School of Mechanical Engineering, Pusan National University, Pusan, 46241, Korea

    Jeong-Mo Ku & Weui-Bong Jeong

  2. School of Mechanical Engineering, Ulsan College, Ulsan, Korea

    Chinsuk Hong

Authors
  1. Jeong-Mo Ku
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  2. Weui-Bong Jeong
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  3. Chinsuk Hong
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Corresponding author

Correspondence to Chinsuk Hong.

Additional information

Recommended by Editor No-cheol Park

Jeong-Mo Ku received B.S. degrees from Pusan National University in 2015 and M.S. degrees from Pusan National University in 2017. He is currently majoring in Noise and Vibration in Pusan National University. He especially is interested in active noise control.

Chinsuk Hong received B.S. in Mechanical Engineering and an M.S. in Dynamic and Vibration from Youngnam University, Korea, in 1988 and 1991, respectively. He worked for the Naval System Development Center in Agency Defense Development (ADD), Korea, for 12 years from 1991. He then joined the Institute of Sound and Vibration Research (ISVR), University of Southampton, UK, in 2003, to pursue his Ph.D. He received the Ph.D. in Sound and Vibration, in 2005. He was then with ISVR as a research fellow until 2006, and was a Research Professor for 3 years at Pusan National University. He is currently a Professor at School of Mechanical Engineering, Ulsan College since 2009. His research interests include active noise and vibration control, flow-induced noise and underwater shock response analysis.

Weuibong Jeong received B.S. and M.S. degrees from Seoul National University in 1978 and from KAIST in 1980, respectively. He then received his Ph.D. degree from Tokyo Institute of Technology in 1990. Dr. Jeong is currently a Professor at the Department of Mechanical Engineering at Pusan National University in Busan, Korea. His research interests are in the area of the measurement and signal processing, finite/boundary element analysis of noise and vibration, fluid-structure interactions and acoustic-structure interactions.

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Ku, JM., Jeong, WB. & Hong, C. Controller design for active noise control of compressor by using the time window POCS technique. J Mech Sci Technol 34, 2693–2700 (2020). https://doi.org/10.1007/s12206-020-0602-9

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  • DOI: https://doi.org/10.1007/s12206-020-0602-9

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