Reliable Robust Path Planning with Application to Mobile Robots
By: Romain Pepy, Michel Kieffer and Eric Walter
Open Access
|Sep 2009References
- Ackermann, J., Barlett, A., Kaesbauer, D., Sienel, W. and Steinhauser, R. (1993)., Springer-Verlag, London.
- Alamo, T., Bravo, J., Camacho, E. and de Sevilla, U. (2003). Guaranteed state estimation by zonotopes,, pp. 1035-1043.
- Berger, M. (1987)., Springer-Verlag, Berlin.
- Bouilly, B., Simeon, T. and Alami, R. (1995). A numerical technique for planning motion strategies of a mobile robot in presence of uncertainty,, pp. 1327-1332.
- Collins, P. and Goldsztejn, A. (2008). The reach-and-evolve algorithm for reachability analysis of nonlinear dynamical systems,: 87-102.
- Fraichard, T. and Mermond, R. (1998). Path planning with uncertainty for car-like robots,, pp. 27-32.
- Francis, B. A. and Khargonekar, P. P. (Eds.) (1995)., IMA Volumes in Mathematics and Its Applications, Vol. 66, Springer-Verlag, New York, NY.
- Gonzalez, J. P. and Stentz, A. (2004). Planning with uncertainty in position: An optimal planner,, Robotics Institute, Carnegie Mellon University, Pittsburgh, PA.
- Gonzalez, J. P. and Stentz, A. (2005). Planning with uncertainty in position: An optimal and efficient planner,, pp. 2435-2442.
- Gonzalez, J. P. and Stentz, A. (2007). Planning with uncertainty in position using high-resolution maps,, pp. 1015-1022.
- Graham, R. L. (1972). An efficient algorithm for determining the convex hull of a finite planar set,(4): 132-133.
- Jaulin, L. (2001). Path planning using intervals and graphs,(1): 1-15.
- Jaulin, L. (2002). Nonlinear bounded-error state estimation of continuous-time systems,(6): 1079-1082.
- Jaulin, L., Kieffer, M., Didrit, O. and Walter, E. (2001)., Springer-Verlag, London.
- Jaulin, L. and Walter, E. (1996). Guaranteed tuning, with application to robust control and motion planning,(8): 1217-1221.
- Kieffer, M., Jaulin, L., Braems, I. and Walter, E. (2001). Guaranteed set computation with subpavings,W. Kraemer and J. W. von Gudenberg (Eds.),, Kluwer Academic/Plenum Publishers, New York, NY, pp. 167-178.
- Kieffer, M., Jaulin, L. and Walter, E. (2002). Guaranteed recursive nonlinear state bounding using interval analysis,(3): 193-218.
- Kieffer, M. and Walter, E. (2003). Nonlinear parameter and state estimation for cooperative systems in a bounded-error context,R. Alt, A. Frommer, R. B. Kearfott and W. Luther (Eds.),, Springer, New York, NY, pp. 107-123.
- Kieffer, M. and Walter, E. (2006). Guaranteed nonlinear state estimation for continuous-time dynamical models from discrete-time measurements,, (on CD-ROM).
- Kuffner, J. J. and LaValle, S. M. (2000). RRT-connect: An efficient approach to single-query path planning,, pp. 995-1001.
- Lambert, A. and Gruyer, D. (2003). Safe path planning in an uncertain-configuration space,, pp. 4185-4190.
- Latombe, J. C. (1991)., Kluwer Academic Publishers, Boston, MA.
- LaValle, S. M. (1998). Rapidly-exploring Random Trees: A new tool for path planning,, Iowa State University, Ames, IO.
- LaValle, S. M. (2006)., Cambridge University Press, Cambridge, Available at:
- LaValle, S. M. and Kuffner, J. J. (2001a). Randomized kinodynamic planning,(5): 378-400.
- LaValle, S. M. and Kuffner, J. J. (2001b). Rapidly-exploring random trees: Progress and Prospects,B. R. Donald, K. M. Lynch and D. Rus (Eds.),, A. K. Peters, Wellesley, MA, pp. 293-308.
- Lazanas, A. and Latombe, J. C. (1995). Motion planning with uncertainty: A landmark approach,(1-2): 287-317.
- Lohner, R. (1987). Enclosing the solutions of ordinary initial and boundary value problems,E. Kaucher, U. Kulisch and C. Ullrich (Eds.),, BG Teubner, Stuttgart, pp. 255-286.
- Luenberger, D. (1966). Observers for multivariable systems,(2): 190-197.
- Moore, R. E. (1966)., Prentice-Hall, Englewood Cliffs, NJ.
- Moore, R. E. (1979)., SIAM, Philadelphia, PA.
- Pepy, R. and Lambert, A. (2006). Safe path planning in an uncertain-configuration space using RRT,, pp. 5376-5381.
- Pepy, R., Lambert, A. and Mounier, H. (2006). Reducing navigation errors by planning with realistic vehicle model,, pp. 300-307.
- Raissi, T., Ramdani, N. and Candau, Y. (2004). Set membership state and parameter estimation for systems described by nonlinear differential equations,(10): 1771-1777.
- Ramdani, N., Meslem, N. and Candau, Y. (2008). Reachability analysis of uncertain nonlinear systems using guaranteed set integration,
- Schweppe, F. C. (1973)., Prentice-Hall, Englewood Cliffs, NJ.
- Yakey, J., LaValle, S. M. and Kavraki, L. E. (2001). Randomized path planning for linkages with closed kinematic chains,(6): 951-958.
Language: English
Page range: 413 - 424
Published on: Sep 24, 2009
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Related subjects:
© 2009 Romain Pepy, Michel Kieffer, Eric Walter, published by University of Zielona Góra
This work is licensed under the Creative Commons License.