• Optics and Precision Engineering
  • Vol. 30, Issue 14, 1716 (2022)
Tao HUANG1, Zhihong LUO1, Guibao TAO1,*, and Mingxiang LING2,*
Author Affiliations
  • 1College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing400044, China
  • 2Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang61999, China
  • show less
    DOI: 10.37188/OPE.20223014.1716 Cite this Article
    Tao HUANG, Zhihong LUO, Guibao TAO, Mingxiang LING. Hammerstein modeling and feedback linearization control for piezoelectric positioning stage[J]. Optics and Precision Engineering, 2022, 30(14): 1716 Copy Citation Text show less
    Piezoelectric positioning stage
    Fig. 1. Piezoelectric positioning stage
    Hysteresis curves of piezoelectric positioning stage
    Fig. 2. Hysteresis curves of piezoelectric positioning stage
    Structure of Hammerstein model
    Fig. 3. Structure of Hammerstein model
    Block diagram of input-output feedback linearization control strategy
    Fig. 4. Block diagram of input-output feedback linearization control strategy
    Experimental setup
    Fig. 5. Experimental setup
    Model verification of 10 Hz, 50 Hz and 100 Hz
    Fig. 6. Model verification of 10 Hz, 50 Hz and 100 Hz
    Tracking control results of 10 Hz, 50 Hz and 100 Hz
    Fig. 7. Tracking control results of 10 Hz, 50 Hz and 100 Hz
    Tracking control of composite signal
    Fig. 8. Tracking control of composite signal
    模型参数模型参数
    a00.392 3a50.074 5
    a10.159 6a6-0.042 1
    a2-0.004 3m1-2.633e-06
    a30.073 6ζ0.547 8
    a40.010 4ω10 473
    Table 1. Parameters of Hammerstein model
    频率/Hz10205080100
    RMSE/μm0.475 70.389 50.340 60.316 90.326 0
    Table 2. Model error
    输入信号频率/Hz控制方法RMSE/μm
    10MRPI Feedforward0.544 4
    MRPI Feedforward+PID0.201 9
    IOFL0.154 6
    50MRPI Feedforward1.298 5
    MRPI Feedforward+PID0.619 9
    IOFL0.498 1
    100MRPI Feedforward4.934 7
    MRPI Feedforward+PID1.723 8
    IOFL0.926 6
    Table 3. Root mean square errors of three control methods
    Tao HUANG, Zhihong LUO, Guibao TAO, Mingxiang LING. Hammerstein modeling and feedback linearization control for piezoelectric positioning stage[J]. Optics and Precision Engineering, 2022, 30(14): 1716
    Download Citation