Title
Time-Optimal Multi-Stage Motion Planning With Guaranteed Collision Avoidance Via An Open-Loop Game Formulation
Abstract
We present an efficient algorithm which computes, for a kinematic point mass moving in the plane, a time-optimal path that visits a sequence of target sets while conservatively avoiding collision with moving obstacles, also modelled as kinematic point masses, but whose trajectories are unknown. The problem is formulated as a pursuit-evasion differential game, and the underlying construction is based on optimal control. The algorithm, which is a variant of the fast marching method for shortest path problems, can handle general dynamical constraints on the players and arbitrary domain geometry (e.g. obstacles, non-polygonal boundaries). Applications to a two-stage game, capture-the-flag, is presented.
Year
DOI
Venue
2012
10.1109/ICRA.2012.6225074
2012 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA)
Keywords
Field
DocType
optimal control,game theory,shortest path problem,trajectory,planning,boundary condition,open loop systems,boundary conditions,games,motion planning,fast marching method
Motion planning,Kinematics,Optimal control,Shortest path problem,Control theory,Fast marching method,Differential game,Game theory,Mathematics,Trajectory
Conference
Volume
Issue
ISSN
2012
1
1050-4729
Citations 
PageRank 
References 
12
0.93
20
Authors
4
Name
Order
Citations
PageRank
Ryo Takei1323.51
Haomiao Huang225821.62
Jerry Ding31419.61
Claire J. Tomlin41491158.05