五自由度磁悬浮驱动器的反步控制方法研究
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沈阳工业大学机械工程学院

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国家自然基金项目(No.52405284,No.52375258),辽宁省自然科学基金项目(No.2023-BS-127),辽宁省教育厅项目(No. LJ222410142008,No. LJKMZ20220506,No. LJKMZ20220460,No. JYTMS20231191),辽宁省“揭榜挂帅”科技重点专项(No.2022JH1/10800081),辽宁省“揭榜挂帅”科技重大专项(No.2022JH1/10400027)。


Backstepping Control Method for 5-DOF Electromagnetic Levitation Actuator
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National Natural Science Foundation of China (No.52405284, No.52375258),Liaoning Provincial Natural Science Foundation Project (No.2023-BS-127),Liaoning Provincial Department of Education Project (No. LJ222410142008, No. LJKMZ20220506, No. LJKMZ20220460, No. JYTMS20231191),Liaoning Province

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    摘要:

    在激光加工中,通过调节辅助气体与激光束轴线的角度或离轴量已成为提升切割速度和质量的重要手段,然而,传统机电执行器难以实现多自由度紧凑结构下的高速、高精度驱动。本文提出一种基于六组差动电磁铁的五自由度磁悬浮驱动器系统及其反步控制方法。在建立该系统的动力学模型基础上,构造误差的Lyapunov函数,设计反步控制器。通过数值仿真和试验验证,对比了PID控制和反步控制下z、α、x自由度的动态响应和反步控制器参数对五自由度磁悬浮驱动器性能的影响。结果表明,反步控制方法比PID控制更优越,适当增大反步控制器的增益系数(kz、kα、kx)可以提升系统的动态性能。

    Abstract:

    In laser processing, adjusting the angle or the off-axis displacement of the auxiliary gas relative to the laser beam axis is an important method to improve cutting speed and quality. However, conventional electromechanical actuators find it difficult to achieve high-speed, high-precision actuation in a compact structure with multiple degrees of freedom. This paper presents a five-degree-of-freedom (5-DOF) electromagnetic levitation actuator system based on six sets of differential electromagnets and its backstepping control method. Based on the dynamic modeling of this system, the backstepping controller is designed by constructing the Lyapunov function of the error. The dynamic responses of the z, α, and x degrees of freedom and the effects of the backstepping controller parameters on the performance of the 5-DOF electromagnetic levitation actuator under both PID control and backstepping control are compared through numerical simulations and experimental validation. The results show that the backstepping control method is superior to PID control, and the dynamic performance of the system improves by appropriately increasing the gain coefficients (kz, kα, kx) of the backstepping controller.

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  • 收稿日期:2024-10-13
  • 最后修改日期:2025-01-06
  • 录用日期:2025-01-07
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