Optics and Precision Engineering, Volume. 29, Issue 9, 2149(2021)

Closed-loop inverse iterative learning control in frequency-domain for electromagnetic driven compliant micro-positioning platform

Xu ZHANG1... Lei-jie LAI1,*, Peng-zhi LI2,3 and Li-min ZHU4 |Show fewer author(s)
Author Affiliations
  • 1School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai20600,China
  • 2Changchun Institute of Optic, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun130033,China
  • 3School of Computing and Engineering, University of Gloucestershire, Cheltenham, GL50 2RH, UK
  • 4State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai20020, China
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    Figures & Tables(12)
    Experimental setup of compliant micropositioning stage driven by voice coil motor
    Measured frequency responses in different positions
    Measured and identified frequency response
    Bode diagram of uncorrected system before and after adjusting open-loop gain
    Open loop frequency response using PI controller with phase lead compensation
    Schematic diagram of the compound iterative learning control in inverse frequency domain
    Simulink module of frequency domain inverse iterative control
    Target curve tracking renderings of different control modes
    Tracking results of triangular trajectories with different frequencies
    Convergence effect of root mean square (RMS) errors using frequency domain inverse iteration
    • Table 1. Identification parameters of transfer function

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      Table 1. Identification parameters of transfer function

      0 mm+2 mm-2 mm+4 mm-4 mm
      ζ10.200.200.200.190.19
      ζ20.720.840.830.820.81
      ζ30.220.520.510.220.21
      ωn150.4450.2750.2250.3650.34
      ωn2100.15101.10103.17116.14115.94
      ωn3220.36159.31157.23187.26186.19
      k´(e118.0743.543.27.657.57
    • Table 2. Tracking errors of different control methods for 1 Hz triangular wave signal

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      Table 2. Tracking errors of different control methods for 1 Hz triangular wave signal

      控制

      方法

      PID含超前环节的PI控制传递函数逆模型前馈频域逆迭代前馈

      最大

      误差

      1.2080.6860.6760.0035

      均方根

      误差

      0.6940.4350.1770.080164
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    Xu ZHANG, Lei-jie LAI, Peng-zhi LI, Li-min ZHU. Closed-loop inverse iterative learning control in frequency-domain for electromagnetic driven compliant micro-positioning platform[J]. Optics and Precision Engineering, 2021, 29(9): 2149

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    Paper Information

    Category: Micro/Nano Technology and Fine Mechanics

    Received: Jan. 24, 2021

    Accepted: --

    Published Online: Nov. 22, 2021

    The Author Email:

    DOI:10.37188/OPE.20212909.2149

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