The Geometry of Confocal Curves for Passing Through a Door

被引:6
|
作者
Salaris, Paolo [1 ]
Vassallo, Christian [1 ]
Soueres, Philippe [1 ]
Laumond, Jean-Paul [1 ]
机构
[1] LAAS CNRS, F-31400 Toulouse, France
基金
欧洲研究理事会;
关键词
Motion control; nonholonomic motion planning; robots; visual servoing; wheeled; SERVO CONTROL; VEHICLES;
D O I
10.1109/TRO.2015.2473457
中图分类号
TP24 [机器人技术];
学科分类号
080202 ; 1405 ;
摘要
This paper presents a geometric approach to the problem of steering a robot subject to nonholonomic constraints through a door by using only visual measurements coming from a single fixed on-board monocular camera. The door is represented by two landmarks located on its vertical supports. After exploring the geometric structure that naturally emerges from the problem statement, e.g., bundle of hyperbolae, ellipses, and circles, we exploit this planar geometry to provide stabilizing feedback control laws to drive the vehicle through the middle of the door. Using visual servoing, we prove that this geometry can be directly measured in the camera image plane. Hence, we provide an image-based control scheme, avoiding the use of a state observer. Simulations in a realistic scenario and experiments are provided to show the effectiveness of the feedback control laws.
引用
收藏
页码:1180 / 1193
页数:14
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