Investigating Task Prioritization and Holistic Coordination using Relative Jacobian for Combined 3-Arm Cooperating Parallel Manipulators . and Frank Ibikunle

Abstract—A new modular relative Jacobian formulation for single end-effector control of combined 3-arm cooperating parallel manipulators is derived. It is based on a previous method of derivation for dual-arm robots, with the same approach of modularity and single end-effector control for combined manipulators. This paper will present this new formulation, as well as investigate task prioritization scheme to verify the claim that a single end-effector controller of combined manipulators will indeed implement a strict task prioritization, by intentionally adding more tasks. In addition, this paper will investigate a claim that the holistic approach to control of combined manipulators affords easier control coordination of each of the stand-alone components. Switching control from an individual manipulator control in the null space to relative control in the tasks space is shown to investigate the smoothness of task execution during switching. Simulation results using Gazebo 2.2.5 running in Ubuntu 14.04 is shown. Index Terms—Task prioritization, holistic control coordination, 3-arm cooperating parallel manipulators, single endeffector control, relative Jacobian, modular kinematic