Title
The Inverse Kinematics of Cooperative Transport With Multiple Aerial Robots
Abstract
This paper addresses the kinematics of cooperative transport of payloads suspended by multiple aerial robots with cables. In such problems, it is important to determine the positions of the aerial robots to achieve a specified position and orientation of the payload. In general, this inverse kinematics problem has no solutions for the case with one or two robots and infinitely many solutions for three or more robots. However, in the case with three robots, when the tensions of the cables are also specified, this inverse kinematics problem is shown to have a finite number of solutions. In order to obtain all possible solutions, an efficient analytic algorithm based on dialytic elimination is presented in this paper. Case studies with an equilateral triangle payload and a general payload are used for demonstration. In addition, a numerical procedure is developed to determine the set of allowable tensions. Finally, an approach for stability analysis is developed, and the stability of all equilibrium configurations is analyzed.
Year
DOI
Venue
2013
10.1109/TRO.2012.2218991
IEEE Transactions on Robotics
Keywords
Field
DocType
Payloads,Kinematics,Equations,Robot kinematics,Stability analysis,Robot sensing systems
Equilateral triangle,Kinematics equations,Kinematics,Inverse kinematics,Control theory,Robot kinematics,Control engineering,Numerical analysis,Robot,Mathematics,Payload
Journal
Volume
Issue
ISSN
29
1
1552-3098
Citations 
PageRank 
References 
13
0.74
3
Authors
2
Name
Order
Citations
PageRank
Qimi Jiang1161.50
Vijay Kumar27086693.29