• Optics and Precision Engineering
  • Vol. 31, Issue 18, 2675 (2023)
Yunzhuang CHEN1, Leijie LAI1,*, Pengzhi LI2,3, and Limin ZHU4
Author Affiliations
  • 1School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai20620, China
  • 2School of Computing and Engineering, University of Gloucestershire, Cheltenham, GL50 RH, UK
  • 3Changchun Institute of Optic, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun100, China
  • 4State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai20020, China
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    DOI: 10.37188/OPE.20233118.2675 Cite this Article
    Yunzhuang CHEN, Leijie LAI, Pengzhi LI, Limin ZHU. Full leaf-spring type spatial large-stroke parallel flexure micro-positioning stage and trajectory control[J]. Optics and Precision Engineering, 2023, 31(18): 2675 Copy Citation Text show less
    Multi-DOF long-stroke flexure parallel mechanism
    Fig. 1. Multi-DOF long-stroke flexure parallel mechanism
    Structural diagram of leaf-spring flexure spherical hinge
    Fig. 2. Structural diagram of leaf-spring flexure spherical hinge
    Kinematic model of micro-positioning stage
    Fig. 3. Kinematic model of micro-positioning stage
    Force analysis of clarinet
    Fig. 4. Force analysis of clarinet
    Structural diagram of leaf-spring flexure spherical hinge
    Fig. 5. Structural diagram of leaf-spring flexure spherical hinge
    Input stiffness analysis
    Fig. 6. Input stiffness analysis
    Composite control block diagram of multi-DOF micropositioning stage
    Fig. 7. Composite control block diagram of multi-DOF micropositioning stage
    Measured frequency response and identification results
    Fig. 8. Measured frequency response and identification results
    Amplitude and phase margin of uncorrected system before and after open-loop gain adjustment
    Fig. 9. Amplitude and phase margin of uncorrected system before and after open-loop gain adjustment
    Open loop bode diagram of the system after adding PI controller with phase advanced
    Fig. 10. Open loop bode diagram of the system after adding PI controller with phase advanced
    SMC control block diagram
    Fig. 11. SMC control block diagram
    Experimental system of micro-positioning stage
    Fig. 12. Experimental system of micro-positioning stage
    Maximum stroke
    Fig. 13. Maximum stroke
    Cross-axis coupling errors
    Fig. 14. Cross-axis coupling errors
    Triangular wave track tracking results
    Fig. 15. Triangular wave track tracking results
    Space cylindrical spiral track tracking results
    Fig. 16. Space cylindrical spiral track tracking results
    参数l1l3w1w3t1-3h1l2w2p1p2
    数值/mm10.0018.001.005.0040.003.507.25
    Table 1. Dimension parameters of spherical hinge
    柔度数值单位
    CΔy-Fy1.013 9mm/N
    CΔz-Fz1.300 0mm/N
    Cαx-Mx1.316 3rad/(N·m)
    -Cαy-Fz/-CΔz-My0.034 2rad/N
    Cαz-Fy/CΔy-Mz0.029 5rad/N
    Cαy-My/Cαz-Mz1.061 5rad/(N·m)
    Table 2. Compliance of leaf-spring spherical hinge
    误差指标MAERMSE
    控制器PIDPAPIPAPI+SMCPIDPAPIPAPI+SMC
    eθX/mrad1.210.070.0441.091.69×10-21.47×10-3
    eθY/mrad1.3170.0560.0231.211.39×10-23.62×10-4
    eZ/µm135.35.054.62122.41.2121.188
    Table 3. Single-axis trajectory tracking performance of micro-positioning stage(Triangular wave track)
    误差指标MAERMSE
    控制器PAPIPAPI+SMCPAPIPAPI+SMC
    eθX/mrad0.270.057 70.015 72.96×10-3
    eθY/mrad0.210.0440.012 56.27×10-4
    eZ/µm3.2363.2292.30.719
    Table 4. Three-axis spatial trajectory tracking performance of micro-positioning stage(Cylindrical spiral track)
    Yunzhuang CHEN, Leijie LAI, Pengzhi LI, Limin ZHU. Full leaf-spring type spatial large-stroke parallel flexure micro-positioning stage and trajectory control[J]. Optics and Precision Engineering, 2023, 31(18): 2675
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