DocumentCode :
1030860
Title :
Controllability of a multibody mobile robot
Author :
Laumond, Jean-Paul
Author_Institution :
CNRS, Toulouse, France
Volume :
9
Issue :
6
fYear :
1993
fDate :
12/1/1993 12:00:00 AM
Firstpage :
755
Lastpage :
763
Abstract :
This paper presents a proof of controllability for a multibody mobile robot (e.g., a car pulling and pushing trailers like a luggage carrier in an airport). Such systems appear as canonical systems to illustrate the tools from differential geometric control theory required by nonholonomic motion planning. Three modeling steps are considered: geometric, differential, and control steps. The author derives the kinematic equations for four distinct multibody mobile robot systems: a convoy driven by 1) a unicycle, 2) a two-driving wheels vehicle, 3) a real car and 4) the first two bodies. He shows that these four control systems correspond to the same differential model, which is then used to give the same proof of controllability. Previous work proved the controllability of two-body systems and three-body systems. The main result of this paper is prove the controllability for a general n-body system
Keywords :
controllability; kinematics; mobile robots; path planning; canonical systems; car; controllability; convoy; differential geometric control theory; differential model; kinematic equations; multibody mobile robot; nonholonomic motion planning; two-driving wheels vehicle; unicycle; Airports; Control theory; Controllability; Equations; Kinematics; Mobile robots; Motion planning; Solid modeling; Vehicle driving; Wheels;
fLanguage :
English
Journal_Title :
Robotics and Automation, IEEE Transactions on
Publisher :
ieee
ISSN :
1042-296X
Type :
jour
DOI :
10.1109/70.265919
Filename :
265919
Link To Document :
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