Compliant manipulators on graphs
Authors
S.S. Groothuis, S. Stramigioli, R. Carloni
Abstract
This paper proposes a modeling method for generic serial-chain compliant robotic manipulators. It is based on graph theory and port-Hamiltonian systems, which allows a modular approach to the interconnection of rigid bodies with compliant actuators by means of kinematic pairs. This modularity allows a very simple and straight-forward change in a manipulator’s actuator morphology. An example of a two degree of freedom planar manipulator shows that this modeling method is more suitable for modeling changes in actuator placement than traditional Euler-Lagrange models.
Citation
- Journal: 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
- Year: 2015
- Volume:
- Issue:
- Pages: 6536–6542
- Publisher: IEEE
- DOI: 10.1109/iros.2015.7354311
BibTeX
@inproceedings{Groothuis_2015,
title={{Compliant manipulators on graphs}},
DOI={10.1109/iros.2015.7354311},
booktitle={{2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)}},
publisher={IEEE},
author={Groothuis, S.S. and Stramigioli, S. and Carloni, R.},
year={2015},
pages={6536--6542}
}
References
- Baciu, G., Chou, J. C. K. & Kesavan, H. K. Constrained multibody systems: graph-theoretic Newton-Euler formulation. IEEE Trans. Syst., Man, Cybern. 20, 1025–1048 (1990) – 10.1109/21.59967
- MIN, H.-B., LIU, Z.-G., LIU, Y., WANG, S.-C. & YANG, Y.-L. Coordination Control of Networked Euler-Lagrange Systems with Possible Switching Topology. Acta Automatica Sinica 39, 1003–1010 (2013) – 10.1016/s1874-1029(13)60065-8
- Rahmani Hanzaki, A., Saha, S. K. & Rao, P. V. M. An improved dynamic modeling of a multibody system with spherical joints. Multibody Syst Dyn 21, 325–345 (2009) – 10.1007/s11044-008-9141-3
- McPhee, J. J. On the use of linear graph theory in multibody system dynamics. Nonlinear Dyn 9, 73–90 (1996) – 10.1007/bf01833294
- Cáceres, J. et al. Searching for geodetic boundary vertex sets. Electronic Notes in Discrete Mathematics 19, 25–31 (2005) – 10.1016/j.endm.2005.05.005
- Duindam, V., Macchelli, A., Stramigioli, S. & Bruyninckx, H. Modeling and Control of Complex Physical Systems. (Springer Berlin Heidelberg, 2009). doi:10.1007/978-3-642-03196-0 – 10.1007/978-3-642-03196-0
- stramigioli, Modeling and IPC control of interactive mechanical systems - A coordinate-free approach. (2001)
- van der Schaft, A. J. & Maschke, B. M. Port-Hamiltonian Systems on Graphs. SIAM J. Control Optim. 51, 906–937 (2013) – 10.1137/110840091
- van der schaft, Port-hamiltonian systems: an introductory survey. Proceedings of the International Congress of Mathematicians (2006)
- Visser, L. C., Carloni, R. & Stramigioli, S. Energy-Efficient Variable Stiffness Actuators. IEEE Trans. Robot. 27, 865–875 (2011) – 10.1109/tro.2011.2150430
- Groothuis, S. S., Stramigioli, S. & Carloni, R. Lending a helping hand: toward novel assistive robotic arms. IEEE Robot. Automat. Mag. 20, 20–29 (2013) – 10.1109/mra.2012.2225473
- Vanderborght, B. et al. Variable impedance actuators: A review. Robotics and Autonomous Systems 61, 1601–1614 (2013) – 10.1016/j.robot.2013.06.009
- spong, Robot Modeling and Control (2005)
- spong, Modeling and control of elastic joint robots. Journal of Dynamic Systems Measurement and Control (1986)
- Tonetti, S. & Masarati, P. Graph-Based Modeling of Nonhomogeneous One-Dimensional Multibody Systems With Arbitrary Topology. Journal of Computational and Nonlinear Dynamics 6, (2011) – 10.1115/1.4003030
- Groothuis, S. S., Stramigioli, S. & Carloni, R. Compliant robotic systems on graphs. 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems 3898–3903 (2014) doi:10.1109/iros.2014.6943110 – 10.1109/iros.2014.6943110
- de, Robots with flexible elements. (2008)
- Marconi, L. et al. The SHERPA project: Smart collaboration between humans and ground-aerial robots for improving rescuing activities in alpine environments. 2012 IEEE International Symposium on Safety, Security, and Rescue Robotics (SSRR) (2012) doi:10.1109/ssrr.2012.6523905 – 10.1109/ssrr.2012.6523905
- Lang, S. Y. T. & Kesavan, H. K. Graph theoretic modeling and analysis of multibody planar mechanical systems. IEEE Trans. Syst., Man, Cybern. A 31, 97–111 (2001) – 10.1109/3468.911367
- Macchelli, A., Melchiorri, C. & Stramigioli, S. Port-Based Modeling and Simulation of Mechanical Systems With Rigid and Flexible Links. IEEE Trans. Robot. 25, 1016–1029 (2009) – 10.1109/tro.2009.2026504