Skip to main content

Modeling of a Four-Legged Robot with Variable Center of Mass as a Cooperative Multirobot System

  • Conference paper
  • First Online:
Multibody Mechatronic Systems (MuSMe 2017)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 54))

Included in the following conference series:

Abstract

A multibody system, such as a multiple legged robot, can be modeled and controlled as a cooperative multirobot system (CMS), since it is expected that the several parts involved in the multibody to have a common purpose, in which they must cooperate in order to achieve success. This paper introduces the modeling of a four-legged robot as a set of five robot manipulators: four legs and one additional torso robot for center of mass change. The body’s trajectory is defined and the legs must move cooperatively in order to keep the movement as defined, and the cooperation factor is used again with the torso compensation. The task of the torso robot is to keep the center of mass inside the supporting polygon composed by (at least) three legs, so that the system can remain stable at all times, and, because of that, must act cooperatively with the legs’ movement. The kinematics are computed and simulated using the presented methodology, with screw theory, Assur virtual chains, graph theory and Davies method.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Hunt, K.H.: Dont cross-thread the screw. In: A Symposium Commemorating the Legacy, Works, and Life of Sir Robert Stawell Ball Upon the 100th Anniversary of A Treatise on the Theory of Screws, pp. 1–36 (2000)

    Google Scholar 

  2. Davies, T.H.: Kirchhoffs circulation law applied to multi-loop kinematic chains. Mech. Mach. Theor. 16, 171–183 (1981)

    Google Scholar 

  3. Rocha, C.R., Tonetto, C.P., Dias, A.: A comparison between the Denavit-Hartenberg and the screw-based methods used in kinematic modeling of robot manipulators. Robot. Comput. Integr. Manuf. 27, 723–728 (2011). In: Conference papers of Flexible Automation and Intelligent Manufacturing

    Google Scholar 

  4. Tsai, L.-W.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley, New York (1999)

    Google Scholar 

  5. Campos, A., Guenther, R., Martin, D.: Differential kinematics of serial manipulators using virtual chains. In: Brazilian Society of Mechanical Sciences and Engineering. ABCM, vol. XXVII, pp. 345–356 (2005)

    Google Scholar 

  6. Tonetto, C.P., Rocha, C.R., Simas, H., Dias, A.: Kinematics programming for cooperating robotic systems. In: Camarinha-Matos, L.M., Shahamatnia, E., Nunes, G. (eds.) 3rd Doctoral Conference on Computing, Electrical and Industrial Systems (DoCEIS), Portugal. IFIP Advances in Information and Communication Technology, AICT, vol. 372, pp. 189–198. Springer (2012)

    Google Scholar 

  7. Filho, A.B., Amaral, P.F.S., Miglio Pinto B.G.: A divide and conquer approach for obstacles surpassing of a legged robot. In: Tan, H. (ed.) Informatics in Control, Automation and Robotics. Lecture Notes in Electrical Engineering, vol 132. Springer, Heidelberg (2011)

    Google Scholar 

  8. Filho, A.B., de Andrade, R.M.: A divide and conquer approach for obstacles overcoming of a legged robot. Int. J. Emerg. Technol. Adv. Eng. 5(4), 56–68 (2015)

    Google Scholar 

  9. Tonetto, C.P., Rocha, C.R., Dias, A.: Kinematics programming for two cooperating robots performing tasks. In: ABCM Symposium Series in Mechatronics, vol. 6, pp. 578–587 (2014). PI.IV.10

    Google Scholar 

  10. Woodford, C.: Equine biomechanics and gait analysis. http://vipsvet.net/articles/biomechanics.pdf. Accessed 09 Mar 2017

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cristiane P. Tonetto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Tonetto, C.P., Bento Filho, A., Dias, A. (2018). Modeling of a Four-Legged Robot with Variable Center of Mass as a Cooperative Multirobot System. In: Carvalho, J., Martins, D., Simoni, R., Simas, H. (eds) Multibody Mechatronic Systems. MuSMe 2017. Mechanisms and Machine Science, vol 54. Springer, Cham. https://doi.org/10.1007/978-3-319-67567-1_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67567-1_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67566-4

  • Online ISBN: 978-3-319-67567-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics