This paper proposes a new adaptive feedforward control method for the rejection of multiple periodic disturbances in the propulsion shafting system. The active vibration control scheme of the propulsion shafting system is established by employing the equivalent-input-disturbance principle which reduces the complexity of the control system in applications. The adaptive control algorithm is designed by taking the scale transformation procedure and the frequency-tracking technique into consideration. The scale transformation normalizes the iso-surface of the optimization function by the frequency response characteristics of the control channel, which immensely improves the convergence rate of the control algorithm for multi-harmonic disturbance. Moreover, the adaptive controller tracks the fluctuating frequencies in a direct method, enhancing the efficiency and robustness of the algorithm for eliminating time-varying disturbances. Finally, numerical simulation and experimental validation are carried out to show that the proposed method has good performance on the application of the active vibration control of the propulsion shafting system.
AnFCaoYLiuB (2021) Optimized decentralized filtered-x least mean square algorithm for over-determined systems with periodic disturbances. Journal of Sound and Vibration491: 115763.
2.
BaduidanaMKenfack-JiotsaA (2020) Optimal design of inerter-based isolators minimizing the compliance and mobility transfer function versus harmonic and random ground acceleration excitation. Journal of Vibration and Control27(11–12): 1297–1310.
3.
BazAGilheanyJSteimelP (1990) Active vibration control of propeller shafts. Journal of Sound and Vibration136(3): 361–372.
4.
BreńkaczŁWitanowskiŁDrosińska-KomorM, et al. (2021) Research and applications of active bearings: a state-of-the-art review. Mechanical Systems and Signal Processing151: 107423.
5.
CabellRPalumboDVippermanJ (2001) A principal component feedforward algorithm for active noise control: flight test results. Ieee Transactions on Control Systems Technology9(1): 76–83.
6.
CarestaMKessissoglouN (2012) Active control of sound radiated by a submarine hull in axisymmetric vibration using inertial actuators. Journal of Vibration and Acoustics134(1): 011002.
7.
ChangDChuF (2014) Feedforward active noise control with a new variable tap-length and step-size filtered-X LMS algorithm. IEEE/ACM Transactions on Audio, Speech, and Language Processing22(2): 542–555.
8.
ChungC-HChenM-S (2012) A robust adaptive feedforward control in repetitive control design for linear systems. Automatica48(1): 183–190.
9.
DotschHGMSmakmanHTHofPMJVd, et al. (1995) Adaptive repetitive control of a compact disc mechanism. In: Proceedings of the 34th IEEE Conference on Decision and Control. New Orleans, LA, USA, 13–15 December 1995, pp. 1720–1725.
10.
ElliottSStothersINelsonP (1987) A multiple error LMS algorithm and its application to the active control of sound and vibration. IEEE Transactions on Acoustics, Speech, and Signal Processing35(10): 1423–1434.
11.
FedeleGFerriseA (2012) Biased sinusoidal disturbance rejection with plant uncertainty via an adaptive third-order generalized integrator. In: 20th Mediterranean Conference on Control and Automation (MED), Barcelona, Spain, 3–6 July 2012, pp. 253–258.
12.
HarrisCMPiersolAG (2002) Harris’ Shock and Vibration Handbook. New York: McGraw-Hill.
13.
IbrahimRA (2008) Recent advances in nonlinear passive vibration isolators. Journal of Sound and Vibration314(3–5): 371–452.
14.
JafariSIoannouPA (2016) Robust adaptive attenuation of unknown periodic disturbances in uncertain multi-input multi-output systems. Automatica70: 32–42.
15.
KimSParkY (1999) Active control of multi-tonal noise with reference generator based on on-line frequency estimation. Journal of Sound and Vibration227(3): 647–666.
16.
LewisDWAllairePE (1987) Control of oscillating transmitted forces in axial-thrust bearings with a secondary magnetic bearing. ASLE Transactions30(1): 1–10.
17.
LewisDWAllairePEThomasPW (1989a) Active magnetic control of oscillatory axial shaft vibrations in ship shaft transmission systems part 1: system natural frequencies and laboratory scale model. Tribology transactions32(2): 170–178.
18.
LewisDWHumphrisRRThomasPW (1989b) Active magnetic control of oscillatory axial shaft vibrations in ship shaft transmission systems part 2: control analysis and response of experimental system. Tribology transactions32(2): 179–188.
19.
MorganD (1980) An analysis of multiple correlation cancellation loops with a filter in the auxiliary path. IEEE Transactions on Acoustics, Speech, and Signal Processing28(4): 454–467.
20.
PanXTsoYJuniperR (2008a) Active control of low-frequency hull-radiated noise. Journal of Sound and Vibration313(1): 29–45.
21.
PanXTsoYJuniperR (2008b) Active control of radiated pressure of a submarine hull. Journal of Sound and Vibration311(1): 224–242.
22.
PiggSBodsonM (2010) Adaptive algorithms for the rejection of sinusoidal disturbances acting on unknown plants. Ieee Transactions on Control Systems Technology18(4): 822–836.
23.
QinHYangDZhengH, et al. (2020) Elimination of friction-induced vibration of a propulsion shafting system by auxiliary electromagnetic suspension. Journal of Vibration and Control26(17–18): 1549–1559.
24.
QinHZhengHQinW, et al. (2019) Lateral vibration control of a shafting-hull coupled system with electromagnetic bearings. Journal of Low Frequency Noise, Vibration and Active Control38(1): 154–167.
25.
RivinEI (2003) Passive Vibration Isolation. New York: ASME Press.
26.
SheJHFangMXOhyamaY, et al. (2008) Improving disturbance-rejection performance based on an equivalent-input-disturbance approach. IEEE Transactions on Industrial Electronics55(1): 380–389.
27.
WidrowBGloverJRMcCoolJM, et al. (1975) Adaptive noise cancelling: principles and applications. Proceedings of the IEEE63(12): 1692–1716.
28.
WidrowBWalachE (2008) Adaptive Inverse Control: A Signal Processing Approach. New York: Wiley Press.
29.
XieXRenMZhangZ (2019) Investigation on an adaptive method for tonal vibration suppression. Journal of Vibration and Acoustics142(2): 021002.
30.
ZhangZ-YHuFHuaH-X (2010) Simulation and experiment on active vibration isolation with an adaptive method. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment224(3): 225–238.
31.
ZhengHQinHRenM, et al. (2020) Active vibration control for the time-varying systems with a new adaptive algorithm. Journal of Vibration and Control26(3–4): 200–213.
32.
ZhuQYueJZLiuWQ, et al. (2017) Active vibration control for piezoelectricity cantilever beam: an adaptive feedforward control method. Smart Materials and Structures26(4): 047003.
