The Inverse Kinematics of Cooperative Transport With Multiple Aerial Robots
- 11 October 2012
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Robotics
- Vol. 29 (1), 136-145
- https://doi.org/10.1109/tro.2012.2218991
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.Keywords
This publication has 10 references indexed in Scilit:
- Determination and Stability Analysis of Equilibrium Configurations of Objects Suspended From Multiple Aerial RobotsJournal of Mechanisms and Robotics, 2012
- Planning and control for cooperative manipulation and transportation with aerial robotsThe International Journal of Robotics Research, 2010
- The Inverse Kinematics of 3-D TowingPublished by Springer Science and Business Media LLC ,2010
- Kinematics and Statics of Cooperative Multi-Robot Aerial Manipulation With CablesPublished by ASME International ,2009
- The Maximal Singularity-Free Workspace of the Gough–Stewart Platform for a Given OrientationJournal of Mechanical Design, 2008
- Workspaces of Cable-Actuated Parallel ManipulatorsJournal of Mechanical Design, 2005
- Wrench-based analysis of cable-driven robotsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2004
- The dynamics of an airborne towed target system with active controlProceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 1999
- Stability of a Towed BodyJournal of Aircraft, 1998
- Computations in KinematicsPublished by Springer Science and Business Media LLC ,1993