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An Approach for Predicting the Calibration Accuracy in Planar Cable-Driven Parallel Robots

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Advances in Robot Kinematics 2022 (ARK 2022)

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Abstract

This paper presents a simulation of the calibration of a 3-DoF, 2-cable, planar cable-driven parallel robot (CDPR). The calibration is realized with the combination of a laser displacement sensor and an inclinometer attached to the moving platform. The actual accuracies of the sensors are tested at first for higher calibration quality. Through simulation, with more measurement poses used, the system variable identification errors are reduced, and have decreasing dispersion, finally form plateaus. The effect of each sensor on the calibration quality is studied. Based on the sensors considered in this work, the system variable errors are all within ±9 mm, and most are within ±5 mm for 5.209 m-span CDPR.

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References

  1. Zhang, Z., Xie, G., Shao, Z., Gosselin, C.: Kinematic calibration of cable-driven parallel robots considering the pulley kinematics. Mech. Mach. Theory 169, 104648 (2022)

    Article  Google Scholar 

  2. Picard, E., Caro, S., Claveau, F., Plestan, F.: Pulleys and force sensors influence on payload estimation of cable-driven parallel robots. In: 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2018) (2018). https://hal.archives-ouvertes.fr/hal-01862015

  3. Qian, S., Bao, K., Zi, B., Wang, N.: Kinematic calibration of a cable-driven parallel robot for 3D printing. Sensors (Switzerland) 18, 2898 (2018)

    Google Scholar 

  4. Sandretto, J., Daney, D., Gouttefarde, M.: Calibration of a fully-constrained parallel cable-driven robot. CISM Int. Centre Mech. Sci. Courses Lect. 544, 77–84 (2013)

    Article  Google Scholar 

  5. Renaud, P., Andreff, N., Martinet, P., Gogu, G.: Kinematic calibration of parallel mechanisms: a novel approach using legs observation. IEEE Trans. Rob. 21, 529–538 (2005)

    Article  Google Scholar 

  6. Wang, J., Masory, O.: On the accuracy of a Stewart platform. I. The effect of manufacturing tolerances. In: [1993] Proceedings IEEE International Conference on Robotics and Automation, vol. 1, pp. 114–120 (1993)

    Google Scholar 

  7. Andreff, N., Renaud, P., Martinet, P., Pierrot, F.: Vision-based kinematic calibration of an H4 parallel mechanism: practical accuracies. Ind. Robot. 31, 273–283 (2004)

    Article  Google Scholar 

  8. Daney, D., Papegay, Y., Neumaier, A.: Interval methods for certification of the kinematic calibration of parallel robots. In: Proceedings - IEEE International Conference on Robotics and Automation, vol. 2004, pp. 1913–1918 (2004)

    Google Scholar 

  9. Wang, B., Caro, S.: Exit point, initial length and pose self-calibration method for cable-driven parallel robots. Mech. Mach. Sci. 103, 90–101 (2021)

    Article  Google Scholar 

  10. Fortin-Côté, A., Cardou, P., Gosselin, C.: An admittance control scheme for haptic interfaces based on cable-driven parallel mechanisms. In: Proceedings - IEEE International Conference on Robotics and Automation, pp. 819–825 (2014)

    Google Scholar 

  11. Zhang, F., Shang, W., Li, G., Cong, S.: Calibration of geometric parameters and error compensation of non-geometric parameters for cable-driven parallel robots. Mechatronics 77, 102595 (2021). https://doi.org/10.1016/j.mechatronics.2021.102595

    Article  Google Scholar 

  12. Miermeister, P., Pott, A., Verl, A.: Auto-calibration method for overconstrained cable-driven parallel robots. In: 7th German Conference on Robotics, ROBOTIK 2012, pp. 301–306 (2012)

    Google Scholar 

  13. Martin, C., Fabritius, M., Stoll, J., Pott, A.: A laser-based direct cable length measurement sensor for CDPRS. Robotics 10, 1–11 (2021)

    Article  Google Scholar 

  14. Boggs, P., Byrd, R., Schnabel, R.: A stable and efficient algorithm for nonlinear orthogonal distance regression. SIAM J. Sci. Stat. Comput. 8, 1052–1078 (1987). https://doi.org/10.1137/0908085

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work was supported by the ANR CRAFT project, grant ANR-18-CE10-0004, https://anr.fr/Project-ANR-18-CE10-0004. Bozhao Wang is grateful for the support of China Scholarship Council (CSC Grant No. 202008070051).

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Correspondence to Stéphane Caro .

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Wang, B., Cardou, P., Caro, S. (2022). An Approach for Predicting the Calibration Accuracy in Planar Cable-Driven Parallel Robots. In: Altuzarra, O., Kecskeméthy, A. (eds) Advances in Robot Kinematics 2022. ARK 2022. Springer Proceedings in Advanced Robotics, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-031-08140-8_13

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