Optimal trajectories for nonholonomic mobile robots

P Soueres, JD Boissonnat - Robot motion planning and control, 2005 - Springer
From a kinematic point of view, the main characteristic of wheeled robots is the
nonholonomic rolling without slipping constraint of the wheels on the floor, which forces the …

[图书][B] On nonholonomic mobile robots and optimal maneuvering

J Barraquand, JC Latombe - 1989 - robotics.stanford.edu
We consider the robot path planning problem in the presence of non-integrable kinematic
constraints, known as nonholonomic constraints [Greenwood, 1965]. Such constraints are …

Path optimization for nonholonomic systems: Application to reactive obstacle avoidance and path planning

F Lamiraux, D Bonnafous, C Van Geem - Control problems in robotics, 2003 - Springer
This paper presents a method of path optimization for nonholonomic systems. This method
consists in iteratively modifying a given feasible path in order to make a cost related to the …

New differential geometric methods in nonholonomic path finding

HJ Sussmann - Systems, models and feedback: theory and …, 1992 - Springer
We outline three approaches for nonholonomic path finding—nilpotent approximation,
highly oscillatory inputs and path deformation—that are based on the use of the techniques …

[引用][C] Robot motion planning with nonholonomic constraints

Z Li, J Canny, G Heinzinger - The fifth international symposium on …, 1991 - dl.acm.org
Robot motion planning with nonholonomic constraints | The fifth international symposium on
Robotics research skip to main content ACM Digital Library home ACM home Google, Inc. (search) …

Geometry of nonholonomic systems

A Bellaïche, F Jean, JJ Risler - Robot Motion Planning and Control, 2005 - Springer
Nonholonomic motion planning is best understood with some knowledge of the underlying
geometry. In this chapter, we first introduce in Section 1 the basic notions of the geometry …

Complexity of nonholonomic motion planning

F Jean - International Journal of Control, 2001 - Taylor & Francis
The complexity of motion planning amidst obstacles is a well modelled and understood
notion. What is the increase of the complexity when the problem is to plan the trajectories of …

Trajectory planning and motion control of mobile robots

JP Laumond, T Siméon, R Chatila, G Giralt - Dynamics of Controlled …, 1989 - Springer
This paper addresses two aspects of the navigation problem for a two dof mobile robot (non
holomic system): trajectory planning and motion control. Trajectory planning concerns the …

Shortest distance paths for wheeled mobile robots

JC Alexander, JH Maddocks… - IEEE Transactions on …, 1998 - ieeexplore.ieee.org
Minimal distance paths between prescribed initial and final configurations of a wheeled
mobile robot are calculated, both analytically and numerically, using methods of optimal …

Planning shortest bounded-curvature paths for a class of nonholonomic vehicles among obstacles

A Bicchi, G Casalino, C Santilli - Proceedings of 1995 IEEE …, 1995 - ieeexplore.ieee.org
This paper describes a technique for path planning in environments cluttered with obstacles
for mobile robots with nonholonomic kinematics and bounded trajectory curvature (ie, limited …