journal article·2026-03-08Open access

Analysis of Dynamic Characteristics for Robust Control of the Single Suspension Electromagnet System on a Flexible Beam

Keren Wang, Junxiong Hu, Weihua Ma, Xiaohao Chen

Applied Sciences· Volume 16· Issue 5

Abstract

To minimize the construction cost of track beam and enhance the dynamic performance of the magnetic suspension system, a simplified coupled vibration model of the electromagnet-track beam-vehicle body was established. Initially, by defining a Lyapunov function to represent the quadratic performance index of the maglev system under parameter perturbation, the controller design problem for the closed-loop system was transformed into an existence problem of linear matrix inequality (LMI) solutions. Consequently, a state-feedback cost-preserving robust controller for a flexible track beam was designed. Subsequently, the impact of the suspension controller on the dynamic characteristics of the flexible track beam, both with and without considering parameter perturbation, was compared and analyzed. Furthermore, the robustness, high-frequency suppression, and low-frequency following characteristics of the LMI-based controller were evaluated. Finally, the influence of two distinct state feedback controllers on the dynamic characteristics of the flexible track beam across different frequency bands was analyzed. Correlation analysis revealed that accounting for parameter perturbation can improve the suspension and dynamic characteristics of the suspension controller. When the system experiences parameter perturbation, the LMI-based suspension controller can achieve stable suspension on the flexible track beam while demonstrating strong robustness, high-frequency suppression, and low-frequency following capabilities. On the flexible beam, controllers with different state feedback exhibit varying dynamic characteristics in different vibration frequency segments of the track beam. Specifically, reducing the feedback state variables in the low-frequency band and increasing them in the high-frequency band can appropriately improve the system’s dynamic characteristics.
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Research context

OpenAlex topics: Magnetic Bearings and Levitation Dynamics · Railway Engineering and Dynamics · Vibration Control and Rheological Fluids

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Intelligent Manufacturing, Leshan Vocational and Technical College, Leshan 614000, China

School of Computing and Artificial lntelligence, Southwest Jiaotong University, Chengdu 611756, China

Maglev Transportation Engineering R&D Center, Tongji University, Shanghai 201804, China

State Key Laboratory of High-Speed Maglev Transportation Technology, Qingdao 266111, China

State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China

Key Laboratory of Intelligent Operation and Maintenance Technology and Equipment for Urban Track Transit of Zhejiang Province, Zhejiang Normal University, Jinhua 321004, China

College of Engineering, Zhejiang Normal University, Jinhua 321004, China

Funding

Science and Technology Program Project of Leshan City · Leshan Vocational and Technical College · National Nature Science Foundation of China · National Key R&D Program of China

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