Dynamic Modeling and Control of Winch-Integrated Cable-Driven Parallel Robots Using Singular Perturbation Method

  • Conference paper
  • First Online:
Intelligent Robotics and Applications (ICIRA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14273))

Included in the following conference series:

  • 660 Accesses

Abstract

A winch-integrated cable-driven parallel robot (WICDPR) is a cable robot with winches mounted on the mobile platform. Such configuration leads to dynamic coupling effects between the winches and the mobile platform. The coupling effects, along with the elasticity of the cables, can cause unexpected vibrations in robot motion. In this paper, a controller design method for the WICDPRs considering cable elasticity and dynamic coupling effects is proposed based on the singular perturbation theory. Firstly, the elastic dynamic model of the WICDPRs is established by considering the cable as an axial spring. Using the singular perturbation method, the elastic system is decomposed into two subsystems: a reduced-order system and a boundary layer system, achieving decoupling between rigid dynamics and elastic behavior. Then, the stability conditions of the overall closed-loop system are given by using the Tikhonov’s theorem, and a composite controller comprising a rigid controller and an auxiliary controller is designed based on the stability conditions. Finally, the effectiveness of the proposed control scheme is verified through simulations.

Supported by the National Natural Science Foundation of China (Grant No. 51975044 and No. 51975307).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 69.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 89.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Pott, A.: Cable-Driven Parallel Robots: Theory and Application, Springer Tracts in Advanced Robotics, vol. 120. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-76138-1

  2. Yao, R., Tang, X., Wang, J., Huang, P.: Dimensional optimization design of the four-cable-driven parallel manipulator in FAST. IEEE/ASME Trans. Mechatron. 15(6), 932–941 (2010). https://doi.org/10.1109/TMECH.2009.2035922

    Article  Google Scholar 

  3. Li, C., et al.: Reconfigurable cable-driven parallel robot with adjustable workspace towards positioning in neurosurgery: a preliminary design. In: 2021 IEEE International Conference on Real-time Computing and Robotics (RCAR), pp. 51–56. IEEE, **ning, China, July 2021. https://doi.org/10.1109/RCAR52367.2021.9517400

  4. Gueners, D., Chanal, H., Bouzgarrou, B.C.: Design and implementation of a cable-driven parallel robot for additive manufacturing applications. Mechatronics 86, 102874 (2022). https://doi.org/10.1016/j.mechatronics.2022.102874

    Article  Google Scholar 

  5. Bruckmann, T., Boumann, R.: Simulation and optimization of automated masonry construction using cable robots. Adv. Eng. Inform. 50, 101388 (2021). https://doi.org/10.1016/j.aei.2021.101388

    Article  Google Scholar 

  6. An, H., Liu, H., Liu, X., Yuan, H.: An all-in-one cable-driven parallel robot with flexible workspace and its auto-calibration method. In: 2022 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 7345–7351. IEEE, Kyoto, Japan, October 2022. https://doi.org/10.1109/IROS47612.2022.9982214

  7. Perry D., C., Patrick L., S., Clark J., T.: Charlotte™ robot technology for space and terrestrial applications. In: International Conference on Environmental Systems, vol. SAE Technical Paper 951520. SAE, United States, July 1995

    Google Scholar 

  8. Capua, A., Shapiro, A., Shoval, S.: Motion analysis of an underconstrained cable suspended mobile robot. In: 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO), pp. 788–793. IEEE, Guilin, China, December 2009. https://doi.org/10.1109/ROBIO.2009.5420574

  9. Capua, A., Shapiro, A., Shoval, S.: Motion planning algorithm for a mobile robot suspended by seven cables. In: 2010 IEEE Conference on Robotics, Automation and Mechatronics, pp. 504–509. IEEE, Singapore (Jun 2010). https://doi.org/10.1109/RAMECH.2010.5513143

  10. Wang, D., et al.: Winch-integrated mobile end-effector for a cable-driven parallel robot with auto-installation. Int. J. Control Autom. Syst. 15(5), 2355–2363 (2017). https://doi.org/10.1007/s12555-016-0398-7

    Article  Google Scholar 

  11. Babaghasabha, R., Khosravi, M.A., Taghirad, H.D.: Adaptive robust control of fully constrained cable robots: Singular perturbation approach. Nonlinear Dyn. 85(1), 607–620 (2016). https://doi.org/10.1007/s11071-016-2710-8

    Article  MathSciNet  MATH  Google Scholar 

  12. Begey, J., Cuvillon, L., Lesellier, M., Gouttefarde, M., Gangloff, J.: Dynamic control of parallel robots driven by flexible cables and actuated by position-controlled winches. IEEE Trans. Rob. 35(1), 286–293 (2019). https://doi.org/10.1109/TRO.2018.2875415

    Article  Google Scholar 

  13. Khosravi, M.A., Taghirad, H.D.: Dynamic modeling and control of parallel robots with elastic cables: singular perturbation approach. IEEE Trans. Rob. 30(3), 694–704 (2014). https://doi.org/10.1109/TRO.2014.2298057

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to ** Yin

  • Rights and permissions

    Reprints and permissions

    Copyright information

    © 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

    About this paper

    Check for updates. Verify currency and authenticity via CrossMark

    Cite this paper

    Li, D., Hou, S., Wang, Y., Tang, X. (2023). Dynamic Modeling and Control of Winch-Integrated Cable-Driven Parallel Robots Using Singular Perturbation Method. In: Yang, H., et al. Intelligent Robotics and Applications. ICIRA 2023. Lecture Notes in Computer Science(), vol 14273. Springer, Singapore. https://doi.org/10.1007/978-981-99-6498-7_34

    Download citation

    • DOI: https://doi.org/10.1007/978-981-99-6498-7_34

    • Published:

    • Publisher Name: Springer, Singapore

    • Print ISBN: 978-981-99-6497-0

    • Online ISBN: 978-981-99-6498-7

    • eBook Packages: Computer ScienceComputer Science (R0)

    Publish with us

    Policies and ethics

    Navigation