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Modeling the Static Friction in a Robot Joint by Genetically Optimized BP Neural Network

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Abstract

This paper aims to present a method for improving the modeling precision of static friction. To some extent, as the traditional static friction models available can’t be unified to characterize all the friction situations, a back propagation neural network (BPNN) was proposed to weaken the requirements of traditional static friction models. In details, relative speed of interacting surfaces and joint load are typically considered as the inputs of BPNN, whose output is the predicted static friction. Furthermore, to speed up the convergence and improve the global generalization capability of BPNN, we use genetic algorithm (GA) to optimize the initial values of weights and thresholds. All the training samples follow with reciprocating constant-speed experiments of friction under the changes of joint speed and load. Three comparative experiments indicate that using GA to optimize the initial values of weights and thresholds benefit to improve the convergence rate of network and prediction accuracy, and comparing with the traditional model of static friction, the BPNN model has a higher prediction precision and excellent generalization capability.

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References

  1. Guillo, M., Dubourg, L.: Impact & improvement of tool deviation in friction stir welding: weld quality & real-time compensation on an industrial robot. Robot Cim-Int Manuf. 39, 22–31 (2016)

    Article  Google Scholar 

  2. Simoni, L., Beschi, M., Legnani, G., Visioli, A.: Friction Modeling with Temperature Effects for Industrial Robot Manipulators. In: 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp 3524–3529. IEEE (2015)

  3. Zi, B., Qian, S.: Design Analysis and Control of Cable-Suspended Parallel Robots and its Applications. Springer, Berlin (2017)

    Book  Google Scholar 

  4. Zi, B., Ding, H., Cao, J., et al.: Integrated mechanism design and control for completely restrained hybrid-driven based cable parallel manipulators. J Intell Robot Syst. 74(3-4), 643–661 (2014)

    Article  Google Scholar 

  5. Swevers, J., Al-Bender, F., Ganseman, C.G., Projogo, T.: An integrated friction model structure with improved presliding behavior for accurate friction compensation. IEEE T Autom. Contr. 45(4), 675–686 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  6. Bittencourt, A.C., Axelsson, P.: Modeling and experiment design for identification of wear in a robot joint under load and temperature uncertainties based on friction data. IEEE-ASME T Mech. 19(5), 1694–1706 (2014)

    Article  Google Scholar 

  7. Olsson, H., ÅStröm, K.J., Canudas De Wit, C., et al.: Friction models and friction compensation. Eur. J Control. 4(3), 176–195 (1998)

    Article  MATH  Google Scholar 

  8. Morin, A.J.: New friction experiments carried out at Metz in 1831–1833. Proc. French Royal Acad. Sci. 4(1), 128 (1833)

    Google Scholar 

  9. Stribeck, R.: The key qualities of sliding and roller bearings. Zeitschrift des Vereines Seutscher Ingenieure. 46 (38), 39 (1902)

    Google Scholar 

  10. Dohring, M.E., Lee, E., Newman, W.S.: A load-dependent transmission friction model: theory and experiments. In: Proceedings of the IEEE International Conference on Robotics and Automation, pp 430–436 (1993)

  11. Hamon, P., Gautier, M., Garrec, P.: Dynamic Identification of Robots with a Dry Friction Model Depending on Load and Velocity. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp 6187–6193 (2010)

  12. Wu, W.: Joint Friction Analysis and Low-Speed High-Precision Motion Control of Multi-DOF Serial Robots ZheJiang University (2013)

  13. Visioli, A., Legnani, G.: On the trajectory tracking control of industrial SCARA robot manipulators. IEEE T Ind. Electron. 49(1), 224–232 (2002)

    Article  Google Scholar 

  14. Smola, A.J., Schölkopf, B.: A tutorial on support vector regression. Stat. Comput. 14(3), 199–222 (2004)

    Article  MathSciNet  Google Scholar 

  15. Burges, C.J.: A tutorial on support vector machines for pattern recognition. Data Min Knowl. Disc. 2(2), 121–167 (1998)

    Article  Google Scholar 

  16. Li, J., Cheng, J., Shi, J., Huang, F.: Brief Introduction of Back Propagation (BP) Neural Network Algorithm and Its Improvement, vol. 169, pp 553–558. Springer, Berlin (2012)

    Google Scholar 

  17. Jin, W., Li, Z.J., Wei, L.S., Zhen, H.: The improvements of BP neural network learning algorithm. In: Proceedings of the 5th International Conference on Signal Processing, 2000. WCCC-ICSP 2000, vol. 3, pp 1647–1649 (2000)

  18. Ding, S., Su, C., Yu, J.: An optimizing BP neural network algorithm based on genetic algorithm. Artif. Intell. Rev. 36(2), 153–162 (2011)

    Article  Google Scholar 

  19. Yi, J., Wang, Q., Zhao, D., Wen, J.T.: BP Neural network prediction-based variable-period sampling approach for networked control systems. Appl. Math. Comput. 185(2), 976–988 (2007)

    MATH  Google Scholar 

  20. Tang, H., Tan, K.C., Zhang, Y.: Neural Networks: Computational Models and Applications. Wiley, Chichester (2003)

    MATH  Google Scholar 

  21. Demuth, H.B., Beale, M.H., De Jess, O., Hagan, M.T.: Neural Network Design, Martin Hagan (2014)

Download references

Acknowledgments

Research was supported by National Natural Science Foundation of China (Project number: 51375194 and 51575411), State Key Lab of Digital Manufacturing Equipment & Technology, School of Mechanical Science and Engineering, Huazhong University of Science & Technology, and Fundamental Research Funds for the Central University (WUT:2017111046).

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Correspondence to Xin Cheng.

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Tu, X., Zhou, Y., Zhao, P. et al. Modeling the Static Friction in a Robot Joint by Genetically Optimized BP Neural Network. J Intell Robot Syst 94, 29–41 (2019). https://doi.org/10.1007/s10846-018-0796-6

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  • DOI: https://doi.org/10.1007/s10846-018-0796-6

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