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Kinematics and Statics of Cooperative Multi-Robot Aerial Manipulation With Cables

[+] Author Affiliations
Nathan Michael, Soonkyum Kim, Jonathan Fink, Vijay Kumar

University of Pennsylvania, Philadelphia, PA

Paper No. DETC2009-87677, pp. 83-91; 9 pages
doi:10.1115/DETC2009-87677
From:
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 33rd Mechanisms and Robotics Conference, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4904-0 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME

abstract

This paper addresses the forward and inverse kinematics of payloads carried by aerial robots. We address the cases with one, two, and three aerial robots and derive the kinematics and conditions for stable static equilibrium. For the case with one or two robots, we can establish the maximum number of equilibrium positions. The three-robot case is seen to be much harder primarily because of the non-negative tension constraints. We restrict the set of possible solutions to the forward and inverse problems by considering the equations of static equilibrium and kinematic constraints. Analytic and numeric methods to determine equilibrium configurations and stability are presented.

Copyright © 2009 by ASME

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