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2023 | OriginalPaper | Chapter

The Closed-Form Equations of Motion of a Snake Robot with Coulomb Friction Force

Authors : Huang Qingmin, Huang Jin, Li Xingyu

Published in: Proceedings of China SAE Congress 2021: Selected Papers

Publisher: Springer Nature Singapore

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Abstract

A complete formulation of the equations of motion of snake robot locomotion is presented. The equation is in closed-form (i.e., analytic form) which explicitly describes the input-output relationships in terms of independent variables. It includes the dynamics of the unconstrained motion, the constraints, and the Coulomb friction forces induced by the constraints. The salient feature of the equations of motion is that it is only based on the physical variables which configure the motion. No auxiliary variables such as Lagrange multipliers or pseudo-generalized speeds are needed. Therefore, the equations of motion are most suitable for control design and generic dynamic analysis.

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Literature
1.
Andruska, A.M., Peterson, K.S.: Control of a snake-like robot in an elastically deformable channel. IEEE/ASME Trans. Mechatron. 13(2), 219–227 (2008)CrossRef
2.
3.
Date, H., Sampei, M., Nakaura, S.: Control of a snake robot in consideration of constraint force (2001)
4.
Gray, J.: The mechanism of locomotion in snakes. J. Exp. Biol. 23(2), 101–120 (1946)CrossRef
5.
Hirose, S.: Biologically Inspired Robots: Snake-Like Locomotors and Manipulators. Oxford University Press, Oxford, New York (1993)
6.
Ishikawa, M., Minami, Y., Sugie, T.: Development and control experiment of the trident snake robot. IEEE/ASME Trans. Mechatron. 15(1), 9–16 (2010)CrossRef
7.
Lijeback, P., Pettersen, K.Y., Stavdahl, O., et al.: Snake robot locomotion in environments with obstacles. IEEE/ASME Trans. Mechatron. 17(6), 1158–1169 (2012)CrossRef
8.
Sato, M., Fukaya, M., Iwasakis, T.: Serpentine locomotion with robotic snakes. IEEE Control Syst. Mag. 22(1), 64–81 (2002)CrossRef
9.
Udwadia, F.E., Kalaba, R.E.: Analytical Dynamics: A New Approach. Cambridge University Press, Cambridge, UK (1996)CrossRefMATH
10.
Udwadia, F.E., Phohomsiri, P.: Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics. Proc. Roy. Soc. A: Math. Phys. Eng. Sci. 462, 2097–2117 (2006)MathSciNetCrossRefMATH
11.
Jinquan, X., Yutao, D., Ye-hwa, C., et al.: Adaptive robust constrained state control for nonlinear maglev vehicle with guaranteed bounded airgap. IET Control Theory Appl. 12(11), 1573–1583 (2018)MathSciNetCrossRef
12.
Craig, J.J.: Introduction to Robotics: Mechanics and Control. Addison-Wesley Longman Publishing Co., Inc, Boston, MA, USA (1989)MATH
13.
Lewis, F.L., Dawson, D.M., Abdallah, C.T.: Robot Manipulator Control: Theory and Practice. CRC Press, Boca Raton (2004)
14.
15.
Yin, H., Chen, Y.H., Huang, J., et al.: Tackling mismatched uncertainty in robust constraint-following control of underactuated systems. Inf. Sci. 520, 337–352 (2020)MathSciNetCrossRefMATH
16.
Udwadia, F.E., Kalaba, R.E., Fan, Y.: Is analytical dynamics a theoretical or an experimental science? Nonlinear Anal. Theory Methods Appl. 63(5), 692–698 (2005)MathSciNetCrossRefMATH
17.
18.
Anh, L.X.: Dynamics of Mechanical Systems with Coulomb Friction. Springer-Verlag, Berlin Heidelberg, New York (2003)CrossRefMATH
Metadata
Title
The Closed-Form Equations of Motion of a Snake Robot with Coulomb Friction Force
Authors
Huang Qingmin
Huang Jin
Li Xingyu
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Proceedings of China SAE Congress 2021: Selected Papers

Print ISBN: 978-981-19-3841-2

Electronic ISBN: 978-981-19-3842-9

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-3842-9_19

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