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IJRR
2002
80views more  IJRR 2002»
13 years 11 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
2000
IEEE
94views Robotics» more  ICRA 2000»
14 years 3 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
2002
IEEE
98views Robotics» more  ICRA 2002»
14 years 4 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