A Conditional Stop Capable Trajectory Planner for Cable-Driven Parallel Robots

  • Patrik Lemmen
  • Robin HeidelEmail author
  • Tobias Bruckmann
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 74)


This paper presents a new method for cable-driven parallel robots (CDPR) to generate point-to-point (PTP) trajectories with the consideration of CDPR workspace. Similar to existing trajectory planners that work on position level using a quintic or higher polynomial, here the complete acceleration process is planned referring to a double-S trajectory, but with quintic polynomial for acceleration. Due to workspace considerations, the method had to be extended for the opportunity to trigger well-defined stops. Adapted to practical use of CDPRs, the method allows to specify distance, maximum velocity and maximum acceleration while limiting jerk where the latter is indirectly influenced. A feasibility check for user-given parameters leads to a reduction of acceleration and/or velocity to ensure reaching the goal while limiting the jerk to reduce actuator wear. To decouple the dynamics of standard trajectories and conditional stops, the braking acceleration is separately defined.

The method has been tested on a cable robot prototype, called SEGESTA. The results show the capabilities of the new method especially for the real-time halt performance and the consideration of workspace boundaries.


cable-driven parallel robot trajectory dynamic limitation stop trajectory 


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This research received funding from the EFRE.NRW (2014-2020) Joint Research Funding Programme of the European Union (EFRE) and the Ministry of Economy, Energy, Industry, and Handicrafts of the German Federal State of North Rhine-Westphalia (NRW) under grant agreement EFRE-0800365 (ML-1-1-019B, LEAN)].


  1. 1.
    Gosselin, C.: Global Planning of Dynamically Feasible Trajectories for Three-DOF Spatial Cable-Suspended Parallel Robots. Conference Paper of CableCon2012 in: T. Bruckmann et al. (eds.), Cable-Driven Parallel Robots, Mechanism and Machine Science 12, Stuttgart 2012.Google Scholar
  2. 2.
    Kyriakopoulos, K. J., Saridis, G. N.: Minimum jerk path generation. In: Proc. IEEE Int. Conf. Robotics and Automation, 1988, pp. 364-369Google Scholar
  3. 3.
    Piazzi, A., Visioli, A.: Global minimum-jerk trajectory planning of robot manipulators. IEEE Trans. Ind. Electron., vol 47, pp. 140-149, Feb. 2000Google Scholar
  4. 4.
    Barnett, E., Gosselin, C.: Large-scale 3D printing with a cable-suspended robot. Elsevier B.V., Canada 2015.
  5. 5.
    Erkorkmaz, K., Altintas, Y.: High speed CNC system design. Part I: jerk limited trajectory generation and quintic spline interpolation. In: International Journal of Machine Tools & Manufacture 41, Elsevier, 2001.Google Scholar
  6. 6.
    Biagiotti, L., Melchiorri, C.: Trajectory Planning for Automatic Machines and Robots. Springer-Verlag Berlin Heidelberg 2008.Google Scholar
  7. 7.
    Reichert, C., Bruckmann, T.: Unified Contact Force Control Approach for Cabledriven Parallel Robots using an Impedance/Admittance Control Strategy. Conference Paper: International Federation for the Promotion of Mechanism and Machine Science World Congress, Taipei 2015.Google Scholar
  8. 8.
    Coxeter, H. S. M.: Regular Polytopes. Book published by Dover Publications, ISBN 978-0486614809, 3rd edition, 1973.Google Scholar
  9. 9.
    Müller, K., Reichert, C., Bruckmann, T.: Analysis of a Real-Time Capable Cable Force Computation Method. Conference Paper of CableCon2014 in: A. Pott et al. (eds.), Cable-Driven Parallel Robots, Mechanism and Machine Science 32, Duisburg 2014.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of Duisburg-EssenNorth Rhine WestfaliaWestfaliaGermany

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