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ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
13 years 9 months ago
Extremal Trajectories for Bounded Velocity Mobile Robots
Previous work [3, 6, 9, 8, 7, 1] has presented the time optimal trajectories for three classes of non-holonomic mobile robots: steered cars that can only go forwards, steered cars...
Devin J. Balkcom, Matthew T. Mason
ICRA
2000
IEEE
94views Robotics» more  ICRA 2000»
13 years 8 months ago
Extremal Trajectories for Bounded Velocity Differential Drive Robots
This paper applies Pontryagin’s Maximum Principle to the time optimal control of differential drive mobile robots with velocity bounds. The Maximum Principle gives necessary con...
Devin J. Balkcom, Matthew T. Mason
ICRA
2000
IEEE
92views Robotics» more  ICRA 2000»
13 years 8 months ago
Time Optimal Trajectories for Bounded Velocity Differential Drive Robots
A differential drive robot is perhaps the simplest type of mobile robot, and the bounded velocity model is perhaps the simplest useful model of the admissible controls. This paper...
Devin J. Balkcom, Matthew T. Mason
IJRR
2002
80views more  IJRR 2002»
13 years 4 months ago
Time Optimal Trajectories for Bounded Velocity Differential Drive Vehicles
This paper presents the time optimal trajectories for differential drive vehicles in the unobstructed plane. The wheel angular velocities are bounded, but may be discontinuous. Th...
Devin J. Balkcom, Matthew T. Mason
ICRA
1998
IEEE
144views Robotics» more  ICRA 1998»
13 years 8 months ago
Acquiring Mobile Robot Behaviors by Learning Trajectory Velocities with Multiple FAM Matrices
In this paper we describe an unsupervised robot learning method which is based on the robot learning a mapping between sensors and trajectory velocities. This enables the robot to...
Koren Ward, Alexander Zelinsky