• Optics and Precision Engineering
  • Vol. 29, Issue 10, 2412 (2021)
Xuan-ju DANG* and Si-ying HE
Author Affiliations
  • School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin541004, China
  • show less
    DOI: 10.37188/OPE.20212910.2412 Cite this Article
    Xuan-ju DANG, Si-ying HE. Hysteresis modeling for flexible joint of industrial robot using asymmetric hysteresis operator[J]. Optics and Precision Engineering, 2021, 29(10): 2412 Copy Citation Text show less
    Symmetric PI operator
    Fig. 1. Symmetric PI operator
    Improved new operator
    Fig. 2. Improved new operator
    Structure of new model
    Fig. 3. Structure of new model
    Maximum forward velocity 0.825 rad·s-1;Maximum reverse velocity 1.925 rad·s-1
    Fig. 4. Maximum forward velocity 0.825 rad·s-1;Maximum reverse velocity 1.925 rad·s-1
    Prediction results for the first data set
    Fig. 5. Prediction results for the first data set
    Prediction errors for the first data set
    Fig. 6. Prediction errors for the first data set
    Maximum forward velocity 1.1 rad·s-1;Maximum reverse velocity 1.65 rad·s-1
    Fig. 7. Maximum forward velocity 1.1 rad·s-1;Maximum reverse velocity 1.65 rad·s-1
    Prediction results for the second data set
    Fig. 8. Prediction results for the second data set
    Prediction errors for the second data set
    Fig. 9. Prediction errors for the second data set
    Maximum forward velocity 1.65 rad·s-1;Maximum reverse velocity 1.1 rad·s-1
    Fig. 10. Maximum forward velocity 1.65 rad·s-1;Maximum reverse velocity 1.1 rad·s-1
    Prediction results for the third data set
    Fig. 11. Prediction results for the third data set
    Prediction errors for the third data set
    Fig. 12. Prediction errors for the third data set
    Maximum forward velocity 1.925 rad·s-1;Maximum reverse velocity 0.825 rad·s-1
    Fig. 13. Maximum forward velocity 1.925 rad·s-1;Maximum reverse velocity 0.825 rad·s-1
    Prediction results for the fourth data set
    Fig. 14. Prediction results for the fourth data set
    Prediction errors for the fourth data set
    Fig. 15. Prediction errors for the fourth data set
    数据组PI模型神经网络迟滞模型
    emaxRMSEemaxRMSE
    第一组3.4751.2690.6290.210
    第二组3.8772.0460.4010.173
    第三组2.4151.3010.3740.187
    第四组2.6221.3370.5090.225
    Table 1. Comparison of verification results in different data sets
    Xuan-ju DANG, Si-ying HE. Hysteresis modeling for flexible joint of industrial robot using asymmetric hysteresis operator[J]. Optics and Precision Engineering, 2021, 29(10): 2412
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