Time-optimal paths for a Dubins airplane

@article{Chitsaz2007TimeoptimalPF,
  title={Time-optimal paths for a Dubins airplane},
  author={Hamid Reza Chitsaz and Steven M. LaValle},
  journal={2007 46th IEEE Conference on Decision and Control},
  year={2007},
  pages={2379-2384}
}
We consider finding a time-optimal trajectory for an airplane from some starting point and orientation to some final point and orientation. Our model extends the Dubins car by L.E. Dubins (1957) to have altitude, which leads to Dubins airplane. We assume that the system has independent bounded control over the altitude velocity as well as the turning rate in the plane. Through the use of the Pontryagin Maximum Principle, we characterize the time-optimal trajectories for the system. They are… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 152 CITATIONS

Time-Optimal Paths for a Dubins Car and Dubins Airplane with a Unidirectional Turning Constraint.

VIEW 11 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Emergency Landing Aware Surveillance Planning for Fixed-wing Planes

VIEW 4 EXCERPTS
CITES METHODS
HIGHLY INFLUENCED

Unsupervised learning-based flexible framework for surveillance planning with aerial vehicles

VIEW 4 EXCERPTS
CITES METHODS
HIGHLY INFLUENCED

Time Optimal Trajectories for a Mobile Robot Under Explicit Acceleration Constraints

VIEW 4 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Data collection planning with Dubins airplane model and limited travel budget

VIEW 5 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Toward Autonomous Aircraft Emergency Landing Planning

VIEW 6 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Path Planning for Fixed-Wing Unmanned Aerial Vehicles

VIEW 5 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Dynamic modeling and path planning of a hybrid autonomous underwater vehicle

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Implementing Dubins Airplane Paths on Fixed-wing UAVs

VIEW 13 EXCERPTS
CITES RESULTS, METHODS & BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

2008
2019

CITATION STATISTICS

  • 20 Highly Influenced Citations

  • Averaged 16 Citations per year from 2017 through 2019

References

Publications referenced by this paper.
SHOWING 1-10 OF 42 REFERENCES

The Mathematical Theory of Optimal Processes

  • L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko
  • John Wiley
  • 1962
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Optimal path planning on matrix Lie groups

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Minimum Wheel-Rotation Paths for Differential Drive Mobile Robots Among Piecewise Smooth Obstacles

VIEW 1 EXCERPT

Valet parking without a valet

VIEW 1 EXCERPT

Curvature-bounded traversals of narrow corridors

VIEW 1 EXCERPT