Abstract
Direct kinematics (DK) of cable-driven parallel robots (CDPR) based only on cable lengths measurements is a complex issue even with ideal cables and consequently even harder for more realistic cable models. A natural way to simplify the DK solving is to add sensors. We consider here sensors that give a partial or complete measurement of the cable direction at the anchor points and spatial CDPR with 2/3 cables and we assume that these measurements are exact. We provide a solving procedure and maximal number of DK solutions for an extensive combination of sensors while considering two different cables models: ideal and linearly elastic without deformation.
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Abbasnejad, G., Carricato, M.: Real solutions of the direct geometrico-static problem of underconstrained cable-driven parallel robot with 3 cables: a numerical investigation. Meccanica 473(7), 1761–1773 (2012)
Abbasnejad, G., Carricato, M.: Direct geometrico-static problem of underconstrained cable-driven parallel robots with n cables. IEEE Trans. Robot. 31(2), 468–478 (2015)
dit Sandretto, J.A. et al.: Certified calibration of a cable-driven robot using interval contractor programming. In: Computational Kinematics, Barcelona, 12–15 May 2013 (2013)
Andreff, N., Dallej, T., Martinet, P.: Image-based visual servoing of a Gough-Stewart parallel manipulator using leg observations. Int. J. Robot. Res. 26(7), 677–688 (2007)
Berti, A., Merlet, J.-P., Carricato, M.: Solving the direct geometrico-static problem of underconstrained cable-driven parallel robots by interval analysis. Int. J. Robot. Res. 35(6), 723–739 (2016)
Berti, A., Merlet, J.-P., Carricato, M.: Solving the direct geometrico-static problem of the 3–3 cable-driven parallel robots by interval analysis: preliminary results. In: 1st International Conference on Cable-Driven Parallel Robots (CableCon), Stuttgart, 3–4 September 2012, pp. 251–268 (2012)
Bonev, I.A., et al.: A closed-form solution to the direct kinematics of nearly general parallel manipulators with optimally located three linear extra sensors. IEEE Trans. Robot. Autom. 17(2), 148–156 (2001)
Bruckman, T., et al.: Wire robot part I, kinematics, analysis and design. In: Parallel Manipulators, New Developments, pp. 109–132. ITECH, April 2008
Carricato, M., Abbasnejad, G.: Direct geometrico-static analysis of under-constrained cable-driven parallel robots with 4 cables. In: 1st International Conference on Cable-Driven Parallel Robots (CableCon), Stuttgart, 3–4 September 2012, pp. 269–286 (2012)
Carricato, M., Merlet, J.-P.: Stability analysis of underconstrained cable-driven parallel robots. IEEE Trans. Robot. 29(1), 288–296 (2013)
Carricato, M., Merlet, J.-P.: Direct geometrico-static problem of under-constrained cable-driven parallel robots with three cables. In: IEEE International Conference on Robotics and Automation, Shangai, 9–13 May 2011, pp. 3011–3017 (2011)
Han, K., Chung, W., Youm, Y.: New resolution scheme of the forward kinematics of parallel manipulators using extra sensor data. ASME J. Mech. Design 118(2), 214–219 (1996)
Krauss, W., et al.: System identification and cable force control for a cable-driven parallel robot with industrial servo drives. In: IEEE International Conference on Robotics and Automation, Hong-Kong, 31 May–7 June 2014, pp. 5921–5926 (2014)
Merlet, J.-P.: Closed-form resolution of the direct kinematics of parallel manipulators using extra sensors data. In: IEEE International Conference on Robotics and Automation, Atlanta, 2–7 May 1993, pp. 200–204 (1993)
Merlet, J.-P.: On the real-time calculation of the forward kinematics of suspended cable-driven parallel robots. In: 14th IFToMM World Congress on the Theory of Machines and Mechanisms, Taipei, 27–30 October 2015 (2015)
Miermeister, P., Pott, A.: Auto calibration method for cable-driven parallel robot using force sensors. In: ARK, Innsbruck, 25–28 June 2012, pp. 269–276 (2012)
Ottaviano, E., Ceccarelli, M., Palmucci, F.: Experimental identification of kinematic parameters and joint mobility of human limbs. In: 2nd International Congress, Design and Modelling of mechanical systems, Monastir, 19–21 March 2007 (2007)
Parenti-Castelli, V., Di Gregorio, R.: Real-time computation of the actual posture of the general geometry 6–6 fully parallel mechanism using only two extra rotary sensors. ASME J. Mech. Design 120(4), 549–554 (1998)
Pott, A.: An algorithm for real-time forward kinematics of cable-driven parallel robots. In: ARK, Piran, 28 June–1 July 2010, pp. 529–538 (2010)
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Merlet, JP. (2018). Direct Kinematics of CDPR with Extra Cable Orientation Sensors: The 2 and 3 Cables Case with Perfect Measurement and Ideal or Elastic Cables. In: Gosselin, C., Cardou, P., Bruckmann, T., Pott, A. (eds) Cable-Driven Parallel Robots. Mechanisms and Machine Science, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-319-61431-1_16
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DOI: https://doi.org/10.1007/978-3-319-61431-1_16
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