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Backstepping Sliding Mode Control for Magnetic Suspension System of Maglev Train with Parameter Perturbations and External Disturbance

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Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 (ICANDVC 2021)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 799))

Abstract

The maglev trains suffer from various control complexities such as strong nonlinearity, open-loop instability, disturbances and parameter perturbations in the long-term operation of trains, which make the control of magnetic levitation system very challenging. In this paper, an airgap robust control strategy is proposed for a maglev trains. Specifically, the developed controller utilizes backstepping method in conjunction with sliding mode control technology to asymptotically regulate the airgap to a desired trajectory despite parameter perturbations and external disturbance. The nonlinear dynamic model of magnetic suspension system is derived and analyzed. Then, the system is decomposed into two sub-systems. For the first subsystem, the Lyapunov function and inter virtual control variables are designed. The sliding mode surface is constructed in the second subsystem to complete the design of the whole robust control law. The stability of the presented controller is proven by Lyapunov techniques. Finally, results of simulation show the superiority of the proposed control algorithm tackling parameters change and disturbances.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 51905380 and Grant 52072269, and in part by Shanghai Maglev and rail transit Collaborative Innovation Center.

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Correspondence to Yougang Sun .

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Sun, Y., Xu, J., Xu, H., Cai, W., Lin, Gb. (2022). Backstepping Sliding Mode Control for Magnetic Suspension System of Maglev Train with Parameter Perturbations and External Disturbance. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_19

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  • DOI: https://doi.org/10.1007/978-981-16-5912-6_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5911-9

  • Online ISBN: 978-981-16-5912-6

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