Title
Geometric Phases And Robotic Locomotion
Abstract
Robotic Locomotion is based in a variety of instances upon cyclic changes in the shape of a robot mechanism. Certain variations in shape exploit the constrained nature of a robot's interaction with its environment to generate net motion. This is true for legged robots, snakelike robots, and wheeled mobile robots undertaking maneuvers such as parallel parking. In this article we explore the use of tools from differential geometry to model and analyze this class of locomotion mechanisms in a unified way. In particular, we describe locomotion in terms of the geometric phase associated with a connection on a principal bundle, and address issues such as controllability and choice of gait. We also provide an introduction to the basic mathematical concepts that we require and apply the theory to numerous example systems. (C) 1995 John Wiley & Sons, Inc.
Year
DOI
Venue
1995
10.1002/rob.4620120607
JOURNAL OF ROBOTIC SYSTEMS
Keywords
Field
DocType
geometric phase
Controllability,Control theory,Parallel parking,Control engineering,Robot locomotion,Artificial intelligence,Bio-inspired robotics,Control system,Robot,Mathematics,Mobile robot,Robotics
Journal
Volume
Issue
ISSN
12
6.0
0741-2223
Citations 
PageRank 
References 
61
19.41
2
Authors
2
Name
Order
Citations
PageRank
Scott D. Kelly18124.35
Richard M. Murray2123221223.70