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Conference Paper

The Minimum-Time Crashing Problem for the Dubins' Car

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons84174

Robuffo Giordano,  P
Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Citation

Robuffo Giordano, P. (2006). The Minimum-Time Crashing Problem for the Dubins' Car. In 8th International IFAC Symposium on Robot Control (SYROCO 2006) (pp. 1-7).


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-D055-A
Abstract
This paper determines the time-optimal trajectories bringing a car-like robot, whose driving velocity is constrained to be strictly positive (Dubins’ car), in collision with the obstacles in its workspace. Both the robot and the obstacles are assumed to have polygonal shape. Based on these trajectories, a distance function is defined and computed that takes into account the nonholonomic constraints and captures the non-symmetric nature of the system.