Skyhook damping is a commonly used method to improve the vibration criterion level in automotive, rail train, precision equipment, etc. However, the traditional skyhook damping control method primarily relies on proportional negative feedback of the velocity, which limits its effectiveness in isolating low-frequency vibrations and achieving the desired micro-vibration criterion level. This study proposes a high-gain skyhook damping control method based on a high-quality excitation spectrum identified model. First, a high-quality excitation spectrum model, based on a band-limited concentrated energy white noise excitation, is employed to determine the dynamic characteristics of a mirco-vibration isolation (MVI) platform. Subsequently, a high-gain skyhook damping controller is designed with the identified model. Finally, the proposed control algorithm is experimentally validated. The experimental results indicate that the high-gain skyhook damping control algorithm presented in this paper significantly reduces low-frequency vibrations and enhances the micro-vibration criterion level of the MVI platform.
AmickHGendreauMBuschT, et al. (2005) Evolving criteria for research facilities: vibration. Buildings for Nano scale Research and Beyond5933: 16–28.
2.
ArumugamS (2022) Investigations on using white noise as a test signal for performing frequency response measurements on transformers. Electric Power Systems Research202: 107586.
3.
ChenYLiuXRaoM, et al. (2025) Explicit speed-integrated LSTM network for non-stationary gearbox vibration representation and fault detection under varying speed conditions. Reliability Engineering & System Safety254(2025): 110596.
4.
DingJWangYWangM, et al. (2022) An active geophone with an adjustable electromagnetic negative stiffness for low-frequency vibration measurement. Mechanical Systems and Signal Processing178: 109207.
5.
Gopala RaoLNarayananS (2020) Optimal response of half car vehicle model with sky-hook damper based on LQR control. International Journal of Dynamics and Control8(2): 488–496.
6.
GordonG (1992) Generic criteria for vibration-sensitive equipment vibration control. Microelectronics, Optics, and Metrology1619: 71–85.
7.
HuaY (2024) The riding comfort improvement by the paralleled semi-active magnetorheological damper and passive inertance suspension from the power perspective. Journal of Vibration and Control31(3-4): 457–471.
8.
JiYHuangYYangM, et al. (2025a) Physics-informed deep learning for virtual rail train trajectory following control. Reliability Engineering & System Safety261: 111092.
9.
JiYHuangYZengJ, et al. (2025b) A physical–data-driven combined strategy for load identification of tire type rail transit vehicle. Reliability Engineering & System Safety253: 110493.
10.
JinTLiuZSunS, et al. (2020) Development and evaluation of a versatile semi-active suspension system for high-speed railway vehicles. Mechanical Systems and Signal Processing135: 106338.
11.
KarnoppDTrikhaA (1969) Comparative study of optimization techniques for shock and vibration isolation. Journal of Engineering for Industry91(4): 1128–1132.
12.
KarnoppDCrosbyMHarwoodR (1974) Vibration control using semi-active force generators. Journal of Engineering for Industry96(2): 619–626.
13.
LiLWangLYuanL, et al. (2021a) Micro-vibration suppression methods and key technologies for high-precision space optical instruments. Acta Astronautica180: 417–428.
14.
LuYKhajepourASoltaniA, et al. (2023) Gain-adaptive skyhook-LQR: a coordinated controller for improving truck cabin dynamics. Control Engineering Practice130: 105365.
15.
NehemyFRustighiEGonçalvesP, et al. (2023) A passive self-tuning vibration neutraliser using nonlinear coupling between the degrees of freedom. Mechanical Systems and Signal Processing185: 109786.
16.
RaoLNarayananS (2009) Sky-hook control of nonlinear quarter car model traversing rough road matching performance of LQR control. Journal of Sound and Vibration323(3–5): 515–529.
17.
SunYGongDZhouJ, et al. (2019) Low frequency vibration control of railway vehicles based on a high static low dynamic stiffness dynamic vibration absorber. Science China Technological Sciences62: 60–69.
18.
SunYZhouJThompsonD, et al. (2020) Design, analysis and experimental validation of high static and low dynamic stiffness mounts based on target force curves. International Journal of Non-Linear Mechanics126: 103559.
19.
UrbaśAKłosińskiJAugustynekK (2020) The influence of the PID controller settings on the motion of a truck-mounted crane with a flexible boom and friction in joints. Control Engineering Practice103: 104610.
20.
Van De RidderLBeijenMHakvoortW, et al. (2014) On active acceleration control of vibration isolation systems. Control Engineering Practice33: 76–83.
21.
VárlakiPPalkovicsLRövidA (2021) On modeling and identification of empirical partially intelligible white noise processes. Asian Journal of Control23(3): 1262–1279.
22.
WenLZhouKGongD, et al. (2025) Research on the stochastic vertical vibration characteristics of the coupled high-speed train vehicle system. Journal of Vibration and Control. DOI: 10.1177/10775463251328924.
23.
WirschingPHPaezTLOrtizK (2006) Random vibrations: theory and practice. Courier Corporation.
24.
XieZTianYLiuS, et al. (2025) Fluid-structure interaction analysis of a novel water-lubricated bearing with particle-dynamic effect: theory and experiment. Tribology International204: 110474.
25.
XuMAuFWangS, et al. (2023) Operational modal analysis under harmonic excitation using Ramanujan subspace projection and stochastic subspace identification. Journal of Sound and Vibration545: 117436.
26.
YanZLiGLuoJ, et al. (2022) Vibration control of superconducting electro-dynamic suspension train with electromagnetic and sky-hook damping methods. Vehicle System Dynamics60(10): 3375–3397.
27.
YuanZZhangZZengL, et al. (2023a) Key Technologies in Active Microvibration Isolation Systems: Modeling, Sensing, Actuation, and Control Algorithms. Measurement. ***, 113658.
28.
YuanZZhangZZengL, et al. (2023b) Micropositioning and microvibration isolation of a novel hybrid active–passive platform with two-axis actuator for optical payloads. Mechanical Systems and Signal Processing204: 110764.
29.
ZhouKWenLGongD, et al. (2025) Vibro-acoustic analysis and suppression of corrugated sandwich panel structures with general boundary conditions. Thin-Walled Structures212: 113196.
30.
ZhuWTryggvasonBPiedboeufJ (2006) On active acceleration control of vibration isolation systems. Control Engineering Practice14(8): 863–873.
