Dynamic modeling and control of a tensegrity manipulator mimicking a bird neck
This paper studies a tensegrity manipulator mimicking a bird neck. This manipulator is built upon assembling several X-shape one-dof tensegrity mechanisms in series. A methodology is proposed to derive the dynamic model using Lagrange’s equations. The dynamic model is used to design a dynamic control law. This control law is applied to a backward-and-forward motion between an S-shape rest equilibrium configuration and a straight configuration of the neck manipulator. Simulation results show a much better tracking as compared with a classical PD control.
KeywordsTensegrity bird neck model dynamic control
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This work was conducted with the support of the French National Research Agency (AVINECK Project ANR-16-CE33-0025).
- 1.Motro, R. Tensegrity systems: the state of the art, Int. J. of Space Structures, 7 (2), pp 75–83, 1992Google Scholar
- 2.K. Snelson, 1965, Continuous Tension, Discontinuous Compression Structures, US Patent No. 3,169,611Google Scholar
- 3.R. B. Fuller, Tensile-integrity structures, United States Patent 3063521,1962Google Scholar
- 4.Skelton, R. and de Oliveira, M., Tensegrity Systems. Springer, 2009Google Scholar
- 5.M. Arsenault and C. M. Gosselin, Kinematic, static and dynamic analysis of a planar 2-dof tensegrity mechanism, Mech. and Mach. Theory, Vol. 41(9), 1072-1089, 2006Google Scholar
- 6.C. Crane et al., Kinematic analysis of a planar tensegrity mechanism with presstressed springs, in Advances in Robot Kinematics: analysis and design, pp 419-427, J. Lenarcic and P. Wenger (Eds), Springer (2008)Google Scholar
- 7.P. Wenger and D. Chablat, Kinetostatic Analysis and Solution Classification of a Planar Tensegrity Mechanism, proc. 7th. Int. Workshop on Comp. Kinematics, Springer, ISBN 978-3-319-60867-9, pp422-431, 2017.Google Scholar
- 8.Q. Boehler, M. Vedrines, S. Abdelaziz, P. Poignet, P. Renaud, Design and evaluation of a novel variable stiffness spherical joint with application to MR-compatible robot design. In Robotics and Automation (ICRA), 2016 IEEE International Conference on (pp. 661-667).Google Scholar
- 9.S. Levin, The tensegrity-truss as a model for spinal mechanics: biotensegrity, J. of Mechanics in Medicine and Biology, Vol. 2(3), 2002Google Scholar
- 10.G. Zweers, R. Bout, and J. Heidweiller, Perception and Motor Control in Birds: An Eco- logical Approach. Springer, 1994, ISBN: 978-3-642-75869-0.Google Scholar
- 11.Q. Boehler et al., Definition and computation of tensegrity mechanism workspace, ASME J. of Mechanisms and Robotics, Vol 7(4), 2015Google Scholar
- 12.A. Van Riesen et al, Dynamic Analysis and Control of an Antagonistically Actuated Tensegrity Mechanism, in Romansy 22 – Robot Design, Dynamics and Control, Spinger, ISBN: 978-3-319-78962-0, 2018Google Scholar
- 13.JB Aldrich and RE Skelton, Time-energy optimal control of hyper-actuated mechanical systems with geometric path constraints, in 44th IEEE Conference on Decision and Control, pp 8246-8253, 2005Google Scholar
- 14.S. Chen and M. Arsenault, Analytical Computation of the Actuator and Cartesian Workspace Boundaries for a Planar 2-Degree-of-Freedom Translational Tensegrity Mechanism, Journal of Mech. and Rob., Vol. 4, 2012Google Scholar
- 15.D. L Bakker et al., Design of an environmentally interactive continuum manipulator, Proc.14th IFToMM World Congress in Mechanisms and Machine Science, Taipei, Taiwan, 2015Google Scholar
- 16.A. Van Riesen et al, Optimal Design of Tensegrity Mechanisms Used in a Bird Neck Model, in EuCoMeS2018: Proceedings of the 7th European Conference on Mechanism Science, Springer, ISBN: 978-3-319-98019-95Google Scholar
- 17.M. Furet et al., Kinematic analysis of planar tensegrity 2-X manipulators, Proc. 16th International Symposium on Advances in Robot Kinematics, Bologna, Italia, 2018Google Scholar
- 18.M. Furet et al., Workspace and cuspidality analysis of a 2-X planar manipulator, Proc. 4th IFToMM Symposium on Mechanism Design for Robotics, Udine, Italia, 2018Google Scholar
- 19.W. Khalil and E. Dombre, Modeling, identification and control of robots. HPS, 2002Google Scholar