引用本文:刘腾飞,蒋启龙,罗雨,刘彤.自耦PID控制在磁悬浮系统中的应用[J].控制理论与应用,2025,42(4):695~702.[点击复制]
LIU Teng-fei,JIANG Qi-long,LUO Yu,LIU Tong.Application of self-coupling PID control in magnetic levitation system[J].Control Theory & Applications,2025,42(4):695~702.[点击复制]
自耦PID控制在磁悬浮系统中的应用
Application of self-coupling PID control in magnetic levitation system
摘要点击 3  全文点击 1  投稿时间:2022-09-24  修订日期:2025-03-16
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DOI编号  10.7641/CTA.2023.20838
  2025,42(4):695-702
中文关键词  自耦PID  磁悬浮系统  速度因子  Simulink
英文关键词  self-coupling PID  magnetic levitation system  speed factor  Simulink
基金项目  国家自然科学基金项目(52277166)资助.
作者单位E-mail
刘腾飞* 西南交通大学电气工程学院 363213154@qq.com 
蒋启龙 西南交通大学电气工程学院  
罗雨 西南交通大学电气工程学院  
刘彤 西南交通大学电气工程学院  
中文摘要
      针对轨道不平滑以及负载扰动较大可能导致系统失稳的问题,本文建立了以自耦PID(SC-PID)控制为基础 的磁悬浮控制模型,成功应用于磁悬浮系统中进行实物悬浮,并验证了SC-PID控制的优越性.SC-PID控制的方法 是将非线性磁悬浮系统映射为等价的线性系统,然后引入速度因子zc把比例–积分–微分环节耦合在一起,使得SC PID控制各增益间具有相同的物理量纲,最后用模糊规则对SC-PID控制参数进行整定.通过Simulink仿真和实验表 明: SC-PID控制相对于传统的PID控制、分数阶PID控制(FOPID)具有更好的抗干扰能力,在负载扰动较大的情况下 仍能保持较小的调节误差;对轨道不平滑的适应性强,在轨道不平滑的恶劣情况下依然保持快而准确的跟踪性能.
英文摘要
      In view of the problems of unstable track and large load disturbance, a maglev control model based on the self coupling PID (SC-PID) control is established in this paper, which has been successfully applied to physical suspension in the maglev system, and the superiority of SC-PID control is verified. The method of SC-PID control is to map the nonlinear maglev system into an equivalent linear system, and then introduce the velocity factor to coupling the proportional-integral differential links together, so that each gain of SC-PID control has the same physical dimension. Finally, this paper uses fuzzy rules to adjust the control parameters. Simulink simulation and experiments show that SC-PID control relative to the traditional PID control, fractional PID control (FOPID) has better anti-interference ability, in the load disturbance larger still can maintain a small adjustment error; Strong adaptability to track unsmoothness, fast and accurate tracking performance is still maintained under the bad condition of track unsmoothness.