Abstract
In this paper a method to simply computations of singular configurations of redundant and nonredundant manipulators was presented. Theoretical and numerical aspects of the method were given. Illustrating examples were carried out on models of planar pendula. The method can be also applied to simplify computations of manipulators’ dynamics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Spong, M., Vidyasagar, M.: Robot Dynamics And Control. Wiley, London (1989)
McKerrow, P.J.: Introduction to Robotics. Electronic Systems Engineering Series. Addison-Wesley Publishing, Boston (1991)
Murray, R.M., Li, Z., Sastry, S.: A Mathematical Introduction to Robotic Manipulation. CRC Press, Boca Raton (1994)
Kircanski, M.: Robotic isotropy and optimal robot design of planar manipulators. In: Proceedings IEEE International Conferene on Robotics and Automation, vol. 2, pp. 1100–1105 (1998)
Duleba, I.: Structural properties of inertia matrix and gravity vector of dynamics of rigid manipulators. J. Field Robot. 19(11), 555–567 (2002)
Duleba, I., Karcz-Duleba, I.: Simplifying computations of singular configurations using features of manipulators’ models. In: Moreno-Diaz, R., Pichler, F.R., Quesada-Arencibia, A. (eds.) EUROCAST, Las Palmas, pp. 148–149 (2017). (extended abstract)
Tchon, K., Jakubiak, J.: Endogenous configuration space approach to mobile manipulators: a derivation and performance assessement of Jacobian inverse kinematics algorithms. Int. J. Control 26(14), 1387–1419 (2003)
Brady, M., Hollerbach, J.M., Johnson, T.L., Lozano-Perez, T., Mason, M.T. (eds.): Robot Motion. Planning and Control. Artificial Intelligence. MIT Press, Cambridge (1982)
Acknowledgments
The research was supported by WUST within grant no. 0401/0209/16.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Duleba, I., Karcz-Duleba, I. (2018). Simplifying Some Characteristics of Manipulators Based on Features of Their Models. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2017. EUROCAST 2017. Lecture Notes in Computer Science(), vol 10672. Springer, Cham. https://doi.org/10.1007/978-3-319-74727-9_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-74727-9_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74726-2
Online ISBN: 978-3-319-74727-9
eBook Packages: Computer ScienceComputer Science (R0)