Abstract
In this paper, we address the cooperative towing of payloads by multiple mobile robots that move in the plane. Robots pull via cables attached to an object or a pallet carrying a payload and they coordinate their motion to manipulate the payload through a planar, warehouse-like environment.We formulate a quasi-static model for manipulation and derive equations of motion that yield the motion of the payload for a prescribed motion of the robots in the presence of dry friction and tension constraints. We derive conditions of stable equilibrium for one, two, and three or more robots towing the payload and propose abstractions for the task that lend themselves to simple algorithms for motion planning. We present simulation and experimental results that demonstrate the basic concepts.
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References
Anitescu, M., Potra, F.A.: A time-stepping method for stiff multibody dynamics with contact and friction. International Journal of Numerical Methods Engineering, 753–784 (July 2002)
Bosscher, P., Ebert-Uphoff, I.: Wrench based analysis of cable-driven robots. In: Proceedings of the IEEE International Conference on Robotics and Automation, April 2004, pp. 4950–4955 (2004)
Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)
Cheng, P., Fink, J., Kumar, V., Pang, J.S.: Cooperative towing with multiple robots. ASME Journal of Mechanism and Robotics (2008)
Cottle, R.W., Pang, J., Stone, R.E.: The Linear Complementarity Problem. Academic Press, London (1992)
Donald, B.R.: On information invariants in robotics. Artificial Intelligence Journal 72, 217–304 (1995)
Donald, B.R.: Information invariants for distributed manipulation. International Journal of Robotics Research 16 (1997)
Donald, B.R., Gariepy, L., Rus, D.: Distributed manipulation of multiple objects using ropes. In: Proceedings IEEE International Conference on Robotics & Automation (2000)
Facchinei, F., Pang, J.S.: Finite-dimensional Variational Inequalities and Complementarity Problems. Springer, New York (2003)
Goyal, S., Ruina, A., Papadopolous, J.: Limit surface and moment function descriptions of planar sliding. In: Proc. IEEE Intl. Conf. on Robotics and Automation, May 1989, pp. 794–799 (1989)
Lipkin, H., Duffy, J.: The elliptic polarity of screws. Journal of Mechanisms, Transmissions, Automation and Design 107, 377–387 (1985)
Mason, M.T.: Mechanics of robotic manipulation. MIT Press, Cambridge (2001)
Michael, N., Fink, J., Kumar, V.: Experimental testbed for large multi-robot teams: Verification and validation. IEEE Robotics and Automation Magazine (March 2008)
Oh, S., Agrawal, S.: Cable-suspended planar parallel robots with redundant cables: Controllers with positive cable tensions. In: Proc. of IEEE International Conference on Robotics and Automation, pp. 3023–3028 (2003)
Peshkin, M.A.: Planning Robotic Manipulation Strategies for Sliding Objects. PhD thesis, Carnegie Mellon University Department of Physics (November 1986)
Stump, E., Kumar, V.: Workspaces of cable-actuated parallel manipulators. ASME Journal of Mechanical Design 128 (January 2006)
Verhoeven, R.: Analysis of the workspace of tendon-based Stewart platforms. PhD thesis, University of Duisburg-Essen (2004)
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Cheng, P., Fink, J., Kim, S., Kumar, V. (2009). Cooperative Towing with Multiple Robots. In: Chirikjian, G.S., Choset, H., Morales, M., Murphey, T. (eds) Algorithmic Foundation of Robotics VIII. Springer Tracts in Advanced Robotics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00312-7_7
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DOI: https://doi.org/10.1007/978-3-642-00312-7_7
Publisher Name: Springer, Berlin, Heidelberg
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