Abstract
Cable-driven parallel robots can have a much larger workspace than other parallel robots with rigid links or conventional serial robots. This property comes at the cost of more complex workspace calculations and control schemes that are necessary to account for the elasticity and unilateral force transmission of their parallel cable links. In practice, most cable-driven parallel robots cannot achieve the full workspace that is predicted by theoretical models. This is due to calibration errors and simplified modelling assumptions in the control schemes.
While most previous works on this subject have focused on creating more accurate and complex models, the goal of this work is to increase the workspace volume that cable-driven parallel robots can realize in practice by using a simple model coupled with a new force correction method that is robust to modelling errors and uncertainties. The new method applies force corrections within the nullspace of the structure matrix in order to keep the cable forces within their limits. Experiments show that the new method can significantly increase the workspace when used in addition to basic kinematic codes. In simulations this combination achieves the same workspace as complex controllers that require the precise knowledge of many additional model parameters.
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Notes
- 1.
https://gitlab.cc-asp.fraunhofer.de/wek/wirex.git, [accessed: 04-February-2021].
- 2.
https://www.hexagonmi.com/de-de/products/laser-tracker-systems/leica-absolute-tracker-at960, [accessed: 04-February-2021].
References
Bouchard, S., Gosselin, C., Moore, B.: On the ability of a cable-driven robot to generate a prescribed set of wrenches. J. Mech. Robot. 2(1) (2010)
Do, T., Tjahjowidodo, T., Lau, M., Yamamoto, T., Phee, S.: Hysteresis modeling and position control of tendon-sheath mechanism in flexible endoscopic systems. Mechatronics 24(1), 12–22 (2014)
Fabritius, M., Pott, A.: A forward kinematic code for cable-driven parallel robots considering cable sagging and pulleys. In: International Symposium on Advances in Robot Kinematics, pp. 218–225. Springer (2020)
Fabritius, M., Pott, A.: An inverse kinematic code for cable-driven parallel robots considering cable sagging and pulleys. In: European Conference on Mechanism Science, pp. 423–431. Springer (2020)
Gouttefarde, M., Nguyen, D.Q., Baradat, C.: Kinetostatic analysis of cable-driven parallel robots with consideration of sagging and pulleys. In: Advances in Robot Kinematics, pp. 213–221. Springer (2014)
Govaert, L., Peijs, T.: Tensile strength and work of fracture of oriented polyethylene fibre. Polymer 36(23), 4425–4431 (1995)
Hassan, M., Khajepour, A.: Analysis of bounded cable tensions in cable-actuated parallel manipulators. IEEE Trans. Robot. 27(5), 891–900 (2011)
Kraus, W.: Force control of cable-driven parallel robots. Ph.D. thesis, University of Stuttgart (2016)
Kraus, W., Kessler, M., Pott, A.: Pulley friction compensation for winch-integrated cable force measurement and verification on a cable-driven parallel robot. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 1627–1632. IEEE (2015)
Merlet, J.P.: Analysis of wire elasticity for wire-driven parallel robots. In: Proceedings of EUCOMES 08, pp. 471–478. Springer (2009)
Pott, A.: Influence of pulley kinematics on cable-driven parallel robots. In: Latest Advances in Robot Kinematics, pp. 197–204. Springer (2012)
Pott, A., Mütherich, H., Kraus, W., Schmidt, V., Miermeister, P., Verl, A.: IPAnema: a family of cable-driven parallel robots for industrial applications. In: Bruckmann, T., Pott, A. (eds.) Cable-Driven Parallel Robots, pp. 119–134. Springer (2013)
Riehl, N., Gouttefarde, M., Krut, S., Baradat, C., Pierrot, F.: Effects of non-negligible cable mass on the static behavior of large workspace cable-driven parallel mechanisms. In: 2009 IEEE international conference on robotics and automation, pp. 2193–2198. IEEE (2009)
Shiang, W.J., Cannon, D., Gorman, J.: Optimal force distribution applied to a robotic crane with flexible cables. In: Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No. 00CH37065), vol. 2, pp. 1948–1954. IEEE (2000)
Verhoeven, R.: Analysis of the workspace of tendon-based Stewart platforms. Ph.D. thesis, University Duisburg-Essen (2004)
Zi, B., Duan, B., Du, J., Bao, H.: Dynamic modeling and active control of a cable-suspended parallel robot. Mechatronics 18(1), 1–12 (2008)
Acknowledgment
The authors wish to thank the university of Castilla-La Mancha and the European Social Fund for their financial support through the pre-doctoral funding [2019/451] and mobility grant for doctoral students 2020.
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Fabritius, M., Martin, C., Gomez, G.R., Kraus, W., Pott, A. (2021). A Practical Force Correction Method for Over-Constrained Cable-Driven Parallel Robots. In: Gouttefarde, M., Bruckmann, T., Pott, A. (eds) Cable-Driven Parallel Robots. CableCon 2021. Mechanisms and Machine Science, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-030-75789-2_10
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