Shengliang GU, Jianping WANG, Hongzhuan HU, Jiaru CHU. Realization of precise positioning of fiber positioning unit R mechanism based on Preisach model[J]. Optics and Precision Engineering, 2022, 30(18): 2205
- Optics and Precision Engineering
- Vol. 30, Issue 18, 2205 (2022)
Fig. 1. Schematic diagram of double revolving （left） and R -θ （right）
Fig. 2. R -θ fiber unit motion schematic
Fig. 3. Rough and precise positioning diagram
Fig. 4. Schematic diagram of coarse positioning
Fig. 5. Schematic diagram of straight circular flexible hinge
Fig. 6. Schematic diagram of lever magnifying mechanism
Fig. 7. Influence of hinge thickness and arc radius on rotational stiffness
Fig. 8. Assembly diagram of lever magnifying mechanism
Fig. 9. Relationship between the driving force and the input and output displacement
Fig. 10. Stress distribution diagram of the flexible hinge when the driving force is 23 N
Fig. 11. Hysteresis nonlinearity of output displacement of amplifying mechanism
Fig. 12. Hysteresis factor （left） and Preisach plane （right）
Fig. 13. Voltage traces on the S -plane
Fig. 14. Discretized Preisach plane
Fig. 15. Schematic diagram of the first-order gyration curve
Fig. 16. Experimental test of the lever magnifying mechanism
Fig. 17. Graph of the F -function
Fig. 18. Applied voltage sequence and actual test displacement of the group one
Fig. 19. Model calculated displacement and error plots of the group one
Fig. 20. Applied voltage sequence and actual test displacement of the group two
Fig. 21. Model calculated displacement and error plots of the group two
Fig. 22. Applied voltage sequence and measured displacement of the group three
Fig. 23. Applied voltage sequence and actual test displacement of the group three
Fig. 24. Absolute mean error varies with the constant C
Fig. 25. Error distribution diagram of positive model before and after optimization
Fig. 26. Expected displacement and calculated voltage sequence of the group one
Fig. 27. Inverse model error distribution of the group one
Fig. 28. Expected displacement and calculated voltage sequence of the group two
Fig. 29. Inverse model error distribution of the group two
Fig. 30. Expected displacement and calculated voltage sequence of the group three
Fig. 31. Inverse model error distribution of the group three
Fig. 32. Search strategy 1
Fig. 33. Search strategy 2
Fig. 34. Search strategy 3
Fig. 35. Linear schematic diagram
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Table 1. Absolute mean error table for positive models
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Table 2. Absolute mean error before and after optimization
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Table 3. Absolute mean error of the inverse model
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Table 4. Number of iterations
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