引用本文:金辉宇,兰维瑶.双重积分器的二阶线性自抗扰控制: 快速无超调阶跃响应[J].控制理论与应用,2021,38(9):1486~1492.[点击复制]
JIN Hui-yu,LAN Wei-yao.Second-order linear active disturbance rejection control for the double integrator: fast and nonovershooting step response[J].Control Theory and Technology,2021,38(9):1486~1492.[点击复制]
双重积分器的二阶线性自抗扰控制: 快速无超调阶跃响应
Second-order linear active disturbance rejection control for the double integrator: fast and nonovershooting step response
摘要点击 2451  全文点击 724  投稿时间:2020-05-28  修订日期:2021-08-15
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DOI编号  10.7641/CTA.2021.00303
  2021,38(9):1486-1492
中文关键词  双重积分器  自抗扰控制  阶跃响应  无超调  相位裕度  低频外扰  高频内扰
英文关键词  double integrator  linear active disturbance rejection control  step response  nonovershooting  phase margin  low-frequency external disturbance  high-frequency internal disturbance
基金项目  国家自然科学基金项目(61873219)资助.
作者单位E-mail
金辉宇* 厦门大学航空航天学院 jinhy@xmu.edu.cn 
兰维瑶 厦门大学航空航天学院  
中文摘要
      双重积分器不易控制, PD和PID控制都难以实现其快速无超调阶跃响应. 本文发现单参数二阶线性自抗扰 控制能实现双重积分器的快速无超调阶跃响应. 同时能任意配置回路传递函数的增益穿越频率, 而保持相位裕度恒 为31.9?. 这是线性自抗扰控制优于PD和PID控制的一个例子. 分析和算例还表明, 在抗低频外扰和高频内扰方面, 二阶线性自抗扰控制优于PD和PID控制.
英文摘要
      The double integrator is not easy to control.With PD or PID control, it is difficult to get a fast nonovershooting step response. This paper finds that single parameter second-order linear active disturbance rejection control (LADRC) can obtain fast nonovershooting step responses for the double integrator. Furthermore, it can assign the gain crossover frequency arbitrarily, while the phase margin is always 31.9?. This is an example that LADRC is superior to PD and PID control. Analysis and examples illustrate that second-order LADRC is better than PD and PID control in rejecting low-frequency external disturbance and high-frequency internal disturbance.