- ISSN 0258-2724
- CN 51-1277/U
- EI Compendex
- Scopus
- Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
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| Citation: | WANG Meiqi, ZENG Siheng, LI Yuan, LIU Pengfei. Research on Time Lag Control of Levitation System of Two-Degree-of-Freedom Magnetic Levitation Train[J]. Journal of Southwest Jiaotong University, 2024, 59(4): 812-822. doi: 10.3969/j.issn.0258-2724.20230282
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In order to study the influence of controller time lag on the stability of the levitation system of the magnetic levitation train, firstly, the two-degree-of-freedom magnetic levitation train levitation system model is established by taking displacement-velocity as the feedback control parameter, and the controller time lag is taken into account; secondly, the stability region of the time lag-free system is obtained by the stability criterion of Routh-Hurwitz, meanwhile, based on the characteristic root crossing the imaginary axis boundary condition, we obtain the critical value of the time lag of the controller when the system undergoes Hopf bifurcation; finally, we analyze the relationship between the feedback control parameters and the system parameters and the critical value of the controller time lag. The results show that: when the system parameters are certain, the critical value of the controller time lag decreases with the increase of the displacement control gain, and increases and then decreases with the increase of the velocity control gain; when the feedback control parameters are certain, the critical value of the controller time lag decreases with the increase of the secondary suspension stiffness, and increases with the increase of the secondary suspension damping; as the time lag of the system increases asymptotically by an order of magnitude 10−6 around the critical value of time lag, the system will gradually change from stable-periodic motion-unstable, during which the supercritical Hopf bifurcation occurs.
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