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» Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
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JNS
2008
76views more  JNS 2008»
13 years 5 months ago
Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to de...
David Iglesias, Juan C. Marrero, David Martí...
IROS
2007
IEEE
122views Robotics» more  IROS 2007»
13 years 11 months ago
Lagrangian dynamics of open multibody systems with generalized holonomic and nonholonomic joints
— Standard methods to model multibody systems are aimed at systems with configuration spaces isomorphic to Rn . This limitation leads to singularities and other artifacts in cas...
Vincent Duindam, Stefano Stramigioli
ICRA
2007
IEEE
144views Robotics» more  ICRA 2007»
13 years 11 months ago
Optimal Control Using Nonholonomic Integrators
Abstract— This paper addresses the optimal control of nonholonomic systems through provably correct discretization of the system dynamics. The essence of the approach lies in the...
Marin Kobilarov, Gaurav Sukhatme
HYBRID
2007
Springer
13 years 11 months ago
Groupoids in Control Systems and the Reachability Problem for a Class of Quantized Control Systems with Nonabelian Symmetries
The aim of this paper is twofold. On one hand we present an approach to the general problem of nonlinear control in the framework of (differentiable) groupoids, which, in our opin...
Alessandro Arsie, Emilio Frazzoli