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CDC
2008
IEEE
133views Control Systems» more  CDC 2008»
13 years 12 months ago
The pontryagin maximum principle applied to nonholonomic mechanics
— We introduce a method which allows one to recover the nonholonomic equations of motion of certain systems by instead finding a Hamiltonian via Pontryagin’s Maximum Principle...
Oscar E. Fernandez, Anthony M. Bloch, Tom Mestdag
ICRA
2007
IEEE
154views Robotics» more  ICRA 2007»
13 years 11 months ago
Minimum Wheel-Rotation Paths for Differential Drive Mobile Robots Among Piecewise Smooth Obstacles
— Computing optimal paths for mobile robots is an interesting and important problem. This paper presents a method to compute the shortest path for a differential-drive mobile rob...
Hamid Reza Chitsaz, Steven M. LaValle
ICRA
2000
IEEE
94views Robotics» more  ICRA 2000»
13 years 9 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»
13 years 10 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
RSS
2007
134views Robotics» more  RSS 2007»
13 years 6 months ago
A Discrete Geometric Optimal Control Framework for Systems with Symmetries
— This paper studies the optimal motion control of mechanical systems through a discrete geometric approach. At the core of our formulation is a discrete Lagrange-d’AlembertPon...
Marin Kobilarov, Mathieu Desbrun, Jerrold E. Marsd...