A method of progressive constraints for nonholonomic motion planning | IEEE Conference Publication | IEEE Xplore

A method of progressive constraints for nonholonomic motion planning


Abstract:

Presents a general method for nonholonomic motion planning (NMP), that is able to solve problems for systems with high-dimensional configuration spaces. The original NMP ...Show More

Abstract:

Presents a general method for nonholonomic motion planning (NMP), that is able to solve problems for systems with high-dimensional configuration spaces. The original NMP problem is replaced by a series of progressively constrained ones that are solved successively, and whose solution path converges towards a solution of the original problem. The nonholonomic constraints are introduced progressively in an iterative algorithm. Each iteration consists of exploring a neighborhood of the path obtained from the previous iteration, searching for a path that satisfies more accurate constraints. The explorations proceed according to a dynamic programming procedure able to deal with optimization criteria.
Date of Conference: 22-28 April 1996
Date Added to IEEE Xplore: 06 August 2002
Print ISBN:0-7803-2988-0
Print ISSN: 1050-4729
Conference Location: Minneapolis, MN, USA
References is not available for this document.

Select All
1.
J. Barraquand and P. Ferbach, "Path Planning through Variational Dynamic Programming", IEEE ICRA, 1994.
2.
J. Barraquand and J.-C. Latombe, "Robot Motion Planning: A Distributed Representation Approach", International Journal of Robotics Research, vol. 10, no. 6, 1991.
3.
J. Barraquand and J.-C. Latombe, "Nonholonomic Multibody Mobile Robots: Controllability and Motion Planning in the Presence of Obstacles" in Algorithmica, Springer Verlag, vol. 10, pp. 121-155, 1993.
4.
L. G. Bushnell, D. M. Tilbury and S. S. Sastry, "Steering Three-Input Nonholonomic Systems: The Fire-Truck Example", International Journal of Robotics Research, vol. 14, no. 4, 1995.
5.
M. Cherif and C. Laugier, "Motion Planning of Autonomous Off-Road Vehicles under Physical Interaction Constraints", IEEE ICRA, 1995.
6.
B. R. Donald, P. G. Xavier, J. F. Canny and J. Reif, "Kino-dynamic Motion Planning", Journal of the ACM, vol. 40, no. 5, 1993.
7.
L. E. Dubins, "On Curves of Minimal Length with a Constraint on Average Curvature and with Prescribed Initial and Terminal Positions and Tangents", American Journal of Mathematics, vol. 79, 1957.
8.
P. Ferbach and J. Barraquand, "A Penalty Function Method for Constrained Motion Planning", IEEE ICRA, 1994.
9.
C. Fernandes, L. Gurvits and Z. X. Li, Foundations of Nonholonomic Motion Planning, 1991.
10.
R. Hermann and A. J. Krener, "Nonlinear Controllability and Observability", IEEE Transactions on Automatic Control, vol. 22, no. 5, 1977.
11.
L. Kavraki, P. Švestka, J.-C. Latombe and M. Overmars, Probabilistic Roadmaps for Path Planning in High-Dimensional Configuration Spaces, 1994.
12.
J.-C. Latombe, Robot Motion Planning, Boston:Kluwer Academic, 1991.
13.
J.-P. Laumond, P. E. Jacobs, M. Taix and R. M. Murray, "A Motion Planner for Nonholonomic Mobile Robots", IEEE Transactions on Robotics and Automation, vol. 10, no. 5, 1994.
14.
K. M. Lynch and M. T. Mason, "Stable Pushing: Mechanics Controllability and Planning", Workshop on the Algorithmic Foundations of Robotics, 1994.
15.
R. M. Murray and S. S. Sastry, "Steering Nonholonomic Systems Using Sinusoids", IEEE Conference on Decision and Control, 1990.
16.
J. A. Reeds and R. A. Shepp, "Optimal Paths for a Car that Goes both Forward and Backward", Pacific Journal of Mathematics, vol. 145, no. 2, 1990.
17.
G. Sahar and J. M. Hollerbach, "Planning of Minimum-Time Trajectories for Robot Arms", IEEE ICRA, 1985.
18.
Z. Shiller and S. Dubowsky, "Global Time Optimal Motions of Robotic Manipulators in the Presence of Obstacles", IEEE ICRA, 1988.
19.
P. Švestka and M. H. Overmars, "Coordinated Motion Planning for Multiple Car-Like Robots using Probabilistic Roadmaps", IEEE ICRA, 1995.
20.
P. Svestka and J. Vleugels, "Exact Motion Planning for Tractor-Trailer Robots", IEEE ICRA, 1995.
Contact IEEE to Subscribe

References

References is not available for this document.