On the automatic calibration of redundantly actuated cable-driven parallel robots
Calibration is vital to improve robot accuracy. Automatic calibrations that require no extra devices have lots of conveniences, which is especially significant for cable-driven parallel robots that usually have the reconfigurable ability. This paper proposes a new automatic calibration method that is applicable for a general kind of redundantly actuated cable-driven parallel robots. The key point of this method is to establish the mapping between the unknown parameters to be calibrated and the parameters that could be measured by the inner sensors, and then use least squares algorithm to find the solutions. Specifically, the unknown parameters herein are the coordinates of the attachment points and the measured parameters are the lengths of the redundant cables. Simulations are performed on a 3-DOF parallel robot driven by 4 cables for validation. Results show the proposed calibration method could precisely find the real coordinate values of the attachment points, errors less than 10−12 mm. Trajectory simulations also indicate that the positioning accuracy of the CDPR could be greatly improved after calibration using the proposed method.
Keywordsself-calibration redundantly actuation parallel robots cable robots
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The authors would like to thank the National Natural Science Foundation of China (Grant No. 61803125), the Natural Science Foundation of Guangdong Province China (Grant No.2018A030313247), and the Science and Technology Innovation Committee of Shenzhen (grant number JCYJ20170811155308246 and JSGG20170413164102635) for their financial supports on this work.
- 1.Merlet JP. Parallel robots, vol 128. Springer Science & Business MediaGoogle Scholar
- 2.Mario Luces, James K Mills, and Beno Benhabib. A review of redundant parallel kinematic mechanisms. Journal of Intelligent & Robotic Systems, 86(2):175–198, 2017.Google Scholar
- 5.Paul Bosscher, Robert L Williams, and Melissa Tummino. A concept for rapidlydeployable cable robot search and rescue systems. In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pages 589–598. 2005.Google Scholar
- 6.Andreas Pott, Hendrick Mütherich,Werner Kraus, Valentine Schmidt, Philipp Miermeister, and Alexander Verl. Ipanema: a family of cable-driven parallel robots for industrial applications. In Cable-Driven Parallel Robots, pages 119–134, 2013.Google Scholar
- 8.Vincent Nabat. Robots parallèles à nacelle articulée: Du concept à la solution industrielle pour le pick-and-place. PhD thesis, Montpellier 2, 2007.Google Scholar
- 9.NAN and Rendong. Five hundred meter aperture spherical radio telescope (fast). Science in China, 49(02):3–22, 2006.Google Scholar
- 10.J. P. Merlet. Marionet, a family of modular wire-driven parallel robots. Advances in Robot Kinematics Motion in Man & Machine, 169(2):53–61, 2010.Google Scholar
- 12.D. Surdilovic, Jinyu Zhang, and R. Bernhardt. String-man: Wire-robot technology for safe, exible and human-friendly gait rehabilitation. In IEEE International Conference on Rehabilitation Robotics, pages 446–453, 2007.Google Scholar
- 13.SA Joshi and A Surianarayan. Calibration of a 6-dof cable robot using two inclinometers. Performance metrics for intelligent systems, pages 3660–3665, 2003.Google Scholar
- 16.Philipp Miermeister and Andreas Pott. Auto calibration method for cable-driven parallel robots using force sensors. In Latest Advances in Robot Kinematics, pages 269–276. Springer, 2012.Google Scholar
- 18.Shabbir Kurbanhusen Mustafa, Guilin Yang, Song Huat Yeo, Wei Lin, and I-Ming Chen. Self-calibration of a biologically inspired 7 dof cable-driven robotic arm. IEEE/ASME transactions on mechatronics, 13(1):66–75, 2008.Google Scholar
- 19.Julien Alexandre dit Sandretto, Gilles Trombettoni, David Daney, and Gilles Chabert. Certified calibration of a cable-driven robot using interval contractor programming. In Computational Kinematics, pages 209–217. Springer, 2014.Google Scholar
- 20.Philipp Miermeister, Werner Kraus, and Andreas Pott. Differential kinematics for calibration, system investigation, and force based forward kinematics of cable-driven parallel robots. In Cable-Driven Parallel Robots, pages 319–333. Springer, 2013.Google Scholar
- 21.Andreas Pott. Cable-Driven Parallel Robots: Theory and Application. Springer, 2018.Google Scholar