ARTICLE
Gaussian process dynamic modeling and backstepping sliding mode control for magnetic levitation system of maglev train
,
 
,
 
,
 
 
 
 
More details
Hide details
1
Institute of Rail Transit, Tongji University, Shanghai, China
 
2
National Maglev Transportation Engineering R&D Center, Tongji University, China
 
3
National Rail Transit Electrification and Automation Engineering Technology Research Centre, Hong Kong Branch, Hong Kong Polytechnic University, China
 
 
Submission date: 2021-07-30
 
 
Final revision date: 2021-10-11
 
 
Acceptance date: 2021-10-09
 
 
Online publication date: 2021-12-14
 
 
Publication date: 2022-01-20
 
 
Journal of Theoretical and Applied Mechanics 2022;60(1):49-62
 
KEYWORDS
TOPICS
ABSTRACT
The maglev trains are strongly nonlinear and open-loop unstable systems with external disturbances and parameters uncertainty. In this paper, the Gaussian process method is utilized to get the dynamic parameters, and a backstepping sliding mode controller is proposed for magnetic levitation systems (MLS) of maglev trains. That is, for a MLS of a maglev train, a nonlinear dynamic model with accurate parameters is obtained by the Gaussian process regression method, based on which a novel robust control algorithm is designed. Specifically, the MLS is divided into two sub-systems by a backstepping method. The inter virtual control inputs and the Lyapunov function are constructed in the first sub-system. For the second sub-system, the sliding mode surface is constructed to fulfil the design of the whole controller to asymptotically regulate the airgap to a desired trajectory. The stability of the proposed control method is analyzed by the Lyapunov method. Both simulation and experimental results are included to illustrate the superior performance of the presented method to cope with parameters perturbations and external disturbance.
 
REFERENCES (23)
1.
Boldea I., Tutelea L., Xu W., Pucci M., 2017, Linear electric machines, drives, and MAGLEVs: an overview, IEEE Transactions on Industrial Electronics, 65, 9, 7504-7515.
 
2.
Carvajal J., Chen G., Ogmen H., 2000, Fuzzy PID controller: Design, performance evaluation, and stability analysis, Information Sciences, 123, 3-4, 249-270.
 
3.
Chudzikiewicz A., Bogacz R., Kostrzewski M., Konowrocki R., 2018, Condition monitoring of railway track systems by using acceleration signals on wheelset axle-boxes, Transport, 33, 2, 555-566.
 
4.
Huang Y., Shi J., Wu Z.-W., Gao Y., Wang, D.-Z., 2017, Research on influence of line deviation for high-speed maglev transportation system, The 2017 World Congress on Advances in Structural Engineering and Mechanics (ASEM17), Ilsan, Seoul, Korea.
 
5.
Kusagawa S., Baba J., Shutoh K., Masada E., 2004, Multipurpose design optimization of EMS-type magnetically levitated vehicle based on genetic algorithm, IEEE Transactions on Applied Superconductivity, 14, 2, 1922-1925.
 
6.
Lee H.W., Kim K.C., Lee J., 2006, Review of maglev train technologies, IEEE Transactions on Magnetics, 42, 7, 1917-1925.
 
7.
Li J., Li J., Zhou D., Cui P., Wang L., Yu P., 2015, The active control of maglev stationary self-excited vibration with a virtual energy harvester, IEEE Transactions on Industrial Electronics, 62, 5, 2942-2951.
 
8.
Liu C., Rong G., 2015, SVM order inverse system decoupling time-varying sliding mode control of double suspension systems of machining center, China Mechanical Engineering, 26, 5, 668-674.
 
9.
MacLeod C., Goodall R.M., 1996, Frequency shaping LQ control of maglev suspension systems for optimal performance with deterministic and stochastic inputs, IEE Proceedings – Control Theory and Applications, 143, 1, 25-30.
 
10.
Morales R., Feliu V., Sira-Ramirez H., 2011, Nonlinear control for magnetic levitation systems based on fast online algebraic identification of the input gain, IEEE Transactions on Control Systems Technology, 19, 4, 757-771.
 
11.
Quiñonero-Candela J., Rasmussen C.E., 2005, A unifying view of sparse approximate Gaussian process regression, Journal of Machine Learning Research, 6, 1939-1959.
 
12.
Sheng X., Li M.H., 2007, Propagation constants of railway tracks as a periodic structure, Journal of Sound and Vibration, 299, 4-5, 1114-1123.
 
13.
Shi J., Fang W.S.,Wang Y.J., Zhao, Y., 2014, Measurements and analysis of track irregularities on high speed maglev lines, Journal of Zhejiang University, Science A, 15, 6, 385-394.
 
14.
Sinha P.K., Hadjiiski L.M., Zhou F.B., Kutiyal R.S., 1993, Electromagnetic suspension: New results using neural networks, IEEE Transactions on Magnetics, 29, 6, 2971-2973.
 
15.
Sinha P.K., Pechev A.N., 1999, Model reference adaptive control of a maglev system with stable maximum descent criterion, Automatica, 35, 8, 1457-1465.
 
16.
Sun Y., Qiang H., Xu J., Lin G., 2020, Internet of things-based online condition monitor and improved adaptive fuzzy control for a medium-low-speed maglev train system, IEEE Transactions on Industrial Informatics, 16, 4, 2629-2639.
 
17.
Sun Y., Xu J., Qiang H., Lin G., 2019, Adaptive neural-fuzzy robust position control scheme for maglev train systems with experimental verification, IEEE Transactions on Industrial Electronics, 66, 11, 8589-8599.
 
18.
Sun Y., Xu J.Q., Qiang H.Y., Wang W., Lin G., 2019, Hopf bifurcation analysis of maglev vehicle-guideway interaction vibration system and stability control based on fuzzy adaptive theory, Computers in Industry, 108, 197-209.
 
19.
Thornton R.D., 2009, Efficient and affordable maglev opportunities in the United States, Proceedings of the IEEE 97, 11, 1901-1921.
 
20.
Wai R.J., Lee J.D., 2008, Adaptive fuzzy-neural-network control for maglev transportation system, IEEE Transactions on Neural Networks, 19, 1, 54-70.
 
21.
Wu S.J., Wu C.T., Chang Y.C., 2008, Neural-fuzzy gap control for a current/voltage-controlled 1/4-vehicle MagLev system, IEEE Transactions on Intelligent Transportation Systems, 9, 1, 122-136.
 
22.
Yan L., 2008, Development and application of the maglev transportation system, IEEE Transactions on Applied Superconductivity, 18, 2, 92-99.
 
23.
Zhang G., Zhang J., Zhang H.-L., Meng Q.-T., Fan M., 2013, Calculation on magnetic force for permanent magnetic bearings by Monte Carlo method based on equivalent magnetic charge method, Bearing, 10, 1-4.
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top