• Acta Optica Sinica
  • Vol. 43, Issue 11, 1112006 (2023)
Jing Zhao, Long Zhu, Zhenyu Wu, and Fei Dong*
Author Affiliations
  • School of Electrical Engineering and Automation, Anhui University, Hefei 230601, Anhui, China
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    DOI: 10.3788/AOS222181 Cite this Article Set citation alerts
    Jing Zhao, Long Zhu, Zhenyu Wu, Fei Dong. Reduction of Accumulated Error in Linear Motor Mover Position Measurement Based on Self-Adjusting Measurement Reference Chart[J]. Acta Optica Sinica, 2023, 43(11): 1112006 Copy Citation Text show less
    PMSLM mover position measuring system
    Fig. 1. PMSLM mover position measuring system
    Three target images
    Fig. 2. Three target images
    Error comparison of different types of graphs
    Fig. 3. Error comparison of different types of graphs
    Schematic of traditional incremental sensors for long travel displacement measurement
    Fig. 4. Schematic of traditional incremental sensors for long travel displacement measurement
    Schematic of the proposed cumulative error reduction method. (a) Schematic diagram; (b) flow chart
    Fig. 5. Schematic of the proposed cumulative error reduction method. (a) Schematic diagram; (b) flow chart
    Comparison of measurement range. (a) Traditional gradient algorithm; (b) proposed method
    Fig. 6. Comparison of measurement range. (a) Traditional gradient algorithm; (b) proposed method
    Comparison between the proposed variable benchmark method and the traditional method. (a) Displacement tracking comparison; (b) cumulative error comparison; (c) error analysis
    Fig. 7. Comparison between the proposed variable benchmark method and the traditional method. (a) Displacement tracking comparison; (b) cumulative error comparison; (c) error analysis
    Cumulative error at different thresholds
    Fig. 8. Cumulative error at different thresholds
    Experiment platform
    Fig. 9. Experiment platform
    Measurement accuracy verification. (a) Verification of the measurement range of adjacent frames; (b) cumulative error reduction
    Fig. 10. Measurement accuracy verification. (a) Verification of the measurement range of adjacent frames; (b) cumulative error reduction
    Comparison of different algorithms. (a) Comparison of displacement measurement errors of adjacent frames; (b) cumulative error comparison; (c) cumulative error analysis
    Fig. 11. Comparison of different algorithms. (a) Comparison of displacement measurement errors of adjacent frames; (b) cumulative error comparison; (c) cumulative error analysis
    Robustness comparison. (a) Comparison of measurement error under different illuminations; (b) error comparison of different algorithms under low illumination; (c) error analysis
    Fig. 12. Robustness comparison. (a) Comparison of measurement error under different illuminations; (b) error comparison of different algorithms under low illumination; (c) error analysis
    Image size/(pixel×pixel)Threshold value range/pixelCumulative error range/pixel
    1×20010-27.300.0170-0.0430
    1×30030-51.980.0084-0.0391
    1×40050-87.720.0177-0.0476
    1×50080-150.180.0163-0.0353
    1×600100-189.540.0091-0.0369
    1×700100-153.100.0175-0.0378
    1×80080-134.520.0128-0.0384
    1×90070-114.920.0086-0.0402
    1×100070-113.100.0105-0.0333
    Table 1. Optimal threshold value range for images with different sizes
    Trial No.Moving distance /cmDisplacement /pixel
    125.0000-25.100022.4015
    225.1000-25.200023.1301
    325.2000-25.300022.9188
    825.7000-25.800022.7136
    925.8000-25.900022.5677
    Table 2. Measurement system calibration coefficient calculation
    AlgorithmTime/s
    EPCA0.0536
    JSP0.0828
    LUMLS0.0209
    TTBM0.0125
    Table 3. Time-consuming comparison of different algorithms
    Jing Zhao, Long Zhu, Zhenyu Wu, Fei Dong. Reduction of Accumulated Error in Linear Motor Mover Position Measurement Based on Self-Adjusting Measurement Reference Chart[J]. Acta Optica Sinica, 2023, 43(11): 1112006
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