For high-speed maglev trains, significant research has been dedicated to ensuring their vertical stability and the corresponding vertical electromagnetic control. Their transverse dynamics and stability also present formidable challenges. These challenges are particularly pronounced under the random track irregularities, which can be critically exacerbated by stochastic crosswinds. To address this problem, an optimized Proportional-Derivative (PD) control scheme, which refines the error signal associated with the derivative term, is proposed to enhance the lateral performance. A thorough stochastic dynamic analysis is performed to determine the requisite steady-state current. Furthermore, the influence of the electromagnetic control parameters on the transverse stochastic responses is systematically examined. The results demonstrate that the proposed electromagnetic control scheme effectively mitigates the transverse stochastic responses. The permissible operational range of the control parameters narrows considerably as the mean wind velocity increases, highlighting a critical constraint for the control design in high-wind conditions.
AryanPRajaGLVilanovaR (2024) Equilibrium optimiser tuned frequency-shifted internal model control proportional-derivative decoupled dual-loop design for industrial plants followed by experimental validation. International Journal of Systems Science55: 2874–2896. https://doi.org/10.1080/00207721.2024.2363544
2.
AryanPKumarVRajaGL, et al. (2026) Robust shifted-IMC based modified decoupled smith predictor for delay-dominant integrating-type chemical processes. International Journal of Systems Science57: 740–758. https://doi.org/10.1080/00207721.2025.2510313
3.
BendatJPiersolAG (2011) Random Data: Analysis and Measurement Procedures. John Wiley & Sons.
4.
ChenRLuZRSuC, et al. (2025) Stochastic optimization of levitation control system for maglev vehicles subjected to random guideway irregularity. Journal of Sound and Vibration594: 118682. https://doi.org/10.1016/j.jsv.2024.118682
5.
JiangSHShenDZhangTB, et al. (2022) Nonlinear robust composite levitation control for high-speed EMS trains with input saturation and track irregularities. IEEE Transactions on Intelligent Transportation Systems23: 20323–20336.
6.
LiMChenXHLuoSH, et al. (2023) Analysis on abnormal low-frequency vertical vibration of medium–low-speed maglev vehicle. Mechanical Systems and Signal Processing200: 110510. https://doi.org/10.1016/j.ymssp.2023.110510
7.
LvSCWangBTangGG, et al. (2026) Random vibration analysis of high-speed moving maglev train on simply supported bridge considering track irregularity. International Journal of Structural Stability and Dynamics26: 2650072. https://doi.org/10.1142/s0219455426500720
8.
QX/T 334-2016 (2016) High impact weather condition grade of high speed railway operation.
9.
RajaGLAliA (2016) Modified parallel Cascade control strategy for stable, unstable and integrating processes. ISA Transactions65: 394–406. https://doi.org/10.1016/j.isatra.2016.07.008
10.
SagarARadhakrishnanRRajaGL (2023) Experimentally validated frequency shifted internal model cascade control strategy for magnetic levitation system. IFAC Journal of Systems and Control26: 100234. https://doi.org/10.1016/j.ifacsc.2023.100234
11.
ShiJFangWSWangYJ, et al. (2014) Measurements and analysis of track irregularities on high speed maglev lines. Journal of Zhejiang University - Science15: 385–394. https://doi.org/10.1631/jzus.a1300163
12.
SiddiquiORajaGLChakrabortyS (2026) Generalized IMC-PD decoupled dual-loop control of delay-dominated chemical systems using stability-constrained crayfish optimization. Journal of the Taiwan Institute of Chemical Engineers183: 106563. https://doi.org/10.1016/j.jtice.2025.106563
13.
SterlingMBakerCBouferroukA, et al. (2009) An investigation of the aerodynamic admittances and aerodynamic weighting functions of trains. Journal of Wind Engineering and Industrial Aerodynamics97: 512–522. https://doi.org/10.1016/j.jweia.2009.07.009
14.
SunYZhangDYangW, et al. (2025) Switching logic-based robust control for trajectory control of levitation systems of maglev trains with external disturbances. Journal of Vibration and Control32(1–2): 325–335.
15.
TangGGWangBXiaCP, et al. (2023) Control of levitation parameters and dynamic performance of maglev vehicle. Journal of Railway Science and Engineering20: 790–801.
16.
WangZQLongZQLiXL (2019a) Track irregularity disturbance rejection for maglev train based on online optimization of PnP control architecture. IEEE Access7: 12610–12619. https://doi.org/10.1109/access.2019.2891964
17.
WangZLXuYLLiGQ, et al. (2019b) Modelling and validation of coupled high-speed maglev train-and-viaduct systems considering support flexibility. Vehicle System Dynamics57: 161–191. https://doi.org/10.1080/00423114.2018.1450517
18.
WangSMNiYQSunYG, et al. (2022) Modelling dynamic interaction of maglev train-controller-rail-bridge system by vector mechanics. Journal of Sound and Vibration533: 117023. https://doi.org/10.1016/j.jsv.2022.117023
19.
WangQLiDZengJ, et al. (2024a) A diagnostic method of freight wagons hunting performance based on wayside hunting detection system. Measurement227: 114274. https://doi.org/10.1016/j.measurement.2024.114274
20.
WangWXWangBDengG, et al. (2024b) Research on control parameters of high-speed maglev train under stochastic track irregularities. Probabilistic Engineering Mechanics77: 103664. https://doi.org/10.1016/j.probengmech.2024.103664
21.
WangDWangCLiS, et al. (2025a) Numerical investigation on dynamic interactions of non-contact maglev vehicle and two-span steel continuous bridge induced by high-frequency vibration modes. Journal of Vibration and Control31(13-14): 2811–2823. https://doi.org/10.1177/10775463241262546
22.
WangLBuXShenY, et al. (2025b) Effect of control time delay on high-speed maglev vehicle-bridge-wind system. Journal of Vibration and Control32(7–8): 1939–1953.
23.
WangQJiangXZengJ, et al. (2025c) Innovative method for high-speed railway carbody vibration control caused by hunting instability using underframe suspended equipment. Journal of Vibration and Control31: 3245–3257. https://doi.org/10.1177/10775463241272954
24.
WangWXWangBMaLF, et al. (2025d) Transverse vibration of high-speed maglev train under dual stochastic excitations of crosswinds and maglev track irregularities. Journal of Wind Engineering and Industrial Aerodynamics261: 106094. https://doi.org/10.1016/j.jweia.2025.106094
25.
WuMXLiYLChenXZ, et al. (2014) Wind spectrum and correlation characteristics relative to vehicles moving through cross wind field. Journal of Wind Engineering and Industrial Aerodynamics133: 92–100. https://doi.org/10.1016/j.jweia.2014.08.004
26.
WuQLiuZAnF, et al. (2025) Self-tuning PID feedback control method for magnetic suspension active vibration isolation system with parameters uncertainty. Journal of Vibration and Control31(3-4): 431–443. https://doi.org/10.1177/10775463241228018
27.
YauJD (2010) Interaction response of maglev masses moving on a suspended beam shaken by horizontal ground motion. Journal of Sound and Vibration329: 171–188. https://doi.org/10.1016/j.jsv.2009.08.038
ZhuQWangSMNiYQ (2024) A review of levitation control methods for low-and medium-speed maglev systems. Buildings14: 14030837. https://doi.org/10.3390/buildings14030837
