• Optics and Precision Engineering
  • Vol. 29, Issue 9, 2149 (2021)
Xu ZHANG1, Lei-jie LAI1,*, Peng-zhi LI2,3, and Li-min ZHU4
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
  • show less
    DOI: 10.37188/OPE.20212909.2149 Cite this Article
    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 Copy Citation Text show less
    Experimental setup of compliant micropositioning stage driven by voice coil motor
    Fig. 1. Experimental setup of compliant micropositioning stage driven by voice coil motor
    Measured frequency responses in different positions
    Fig. 2. Measured frequency responses in different positions
    Measured and identified frequency response
    Fig. 3. Measured and identified frequency response
    Bode diagram of uncorrected system before and after adjusting open-loop gain
    Fig. 4. Bode diagram of uncorrected system before and after adjusting open-loop gain
    Open loop frequency response using PI controller with phase lead compensation
    Fig. 5. Open loop frequency response using PI controller with phase lead compensation
    Schematic diagram of the compound iterative learning control in inverse frequency domain
    Fig. 6. Schematic diagram of the compound iterative learning control in inverse frequency domain
    Simulink module of frequency domain inverse iterative control
    Fig. 7. Simulink module of frequency domain inverse iterative control
    Target curve tracking renderings of different control modes
    Fig. 8. Target curve tracking renderings of different control modes
    Tracking results of triangular trajectories with different frequencies
    Fig. 9. Tracking results of triangular trajectories with different frequencies
    Convergence effect of root mean square (RMS) errors using frequency domain inverse iteration
    Fig. 10. Convergence effect of root mean square (RMS) errors using frequency domain inverse iteration
    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 1. Identification parameters of transfer function

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