Skip to main content

Notes on Forward Kinematics of Generalised Robotic Snakes Based on Compass Ruler Algebra

  • Conference paper
  • First Online:
Advanced Computational Applications of Geometric Algebra (ICACGA 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13771))

  • 91 Accesses

Abstract

We use conformal transformations in the kinematic chain of a specific planar mechanism. We present two possible ways to describe the configuration of a three link generalised snake robot using compass ruler algebra, which allows us to point out the nature of the generalised snake as an extension of the classic snake robot.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Dowling, K.J.: Limbless locomotion: learning to crawl with a snake robot. Ph.D. thesis, Carnegie Melon University, Pittsburgh, USA (1997)

    Google Scholar 

  2. Hildenbrand, D.: Foundations of Geometric Algebra Computing. Springer, Cham (2013)

    Book  Google Scholar 

  3. Hirose, S.: Biologically Inspired Robots (Snake-Like Locomotor and Manipulator). Oxford University Press, Oxford (1993)

    Google Scholar 

  4. Hildenbrand, D., Hrdina, J., Návrat, A., Vašík, P.: Local controllability of snake robots based on CRA, theory and practice. Adv. Appl. Clifford Algebras 30(1) (2020)

    Google Scholar 

  5. Hrdina, J., Návrat, A., Vašík, P.: Control of 3-link robotic snake based on conformal geometric algebra. Adv. Appl. Clifford Algebras 26(3), 1069–1080 (2015). https://doi.org/10.1007/s00006-015-0621-2

    Article  MathSciNet  Google Scholar 

  6. Ostrowski, J.: The mechanics of control of undulatory robotic locomotion. Ph.D. thesis, CIT (1995)

    Google Scholar 

  7. Hrdina, J., Návrat, A., Vašík, P., Matoušek, R.: CGA-based robotic snake control. Adv. Appl. Clifford Algebras 27(1), 621–632 (2017)

    Article  MathSciNet  Google Scholar 

  8. Chirikjian, G.S., Burdick, J.W.: An obstacle avoidance algorithm for hyper-redundant manipulators. In: Proceedings 1990 IEEE International Conference on Robotics and Automation, pp. 625–631 (1990)

    Google Scholar 

  9. Ishikawa, M.: Trident snake robot: locomotion analysis and control. NOLCOS. IFAC Symp. Nonlinear Control Syst. 6, 1169–1174 (2004). vol. 27 (2017) Trident Snake Robot via CGA 645

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roman Byrtus .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Byrtus, R., Frolík, S. (2024). Notes on Forward Kinematics of Generalised Robotic Snakes Based on Compass Ruler Algebra. In: Silva, D.W., Hitzer, E., Hildenbrand, D. (eds) Advanced Computational Applications of Geometric Algebra. ICACGA 2022. Lecture Notes in Computer Science, vol 13771. Springer, Cham. https://doi.org/10.1007/978-3-031-34031-4_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-34031-4_12

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34030-7

  • Online ISBN: 978-3-031-34031-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics