Efficient closed-form task space manipulability for a 7-DOF serial robot

Gerold Huber, Dirk Wollherr

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

With the increasing demand for robots to react and adapt to unforeseen events, it is essential that a robot preserves agility at all times. While manipulability is a common measure to quantify agility at a given joint configuration, an efficient direct evaluation in task space is usually not possible with conventional methods, especially for redundant robots with an infinite number of Inverse Kinematic solutions. Yet, this is essential for global online optimization of a robot posture. In this work, we derive analytical expressions for a conventional 7-degrees of freedom (7-DOF) serial robot structure, which enable the direct evaluation of manipulability from a reduced task space parametrization. The resulting expressions allow array operation and thus achieve very high computational efficiency with vector-optimized programming languages. This direct and simultaneous calculation of the task space manipulability for large numbers of poses benefits many optimization problems in robotic applications. We show applications in global optimization of robot mounting poses, as well as redundancy resolution with global online optimization w.r.t. manipulability.

Original languageEnglish
Article number98
JournalRobotics
Volume8
Issue number4
DOIs
StatePublished - 1 Dec 2019

Keywords

  • 7-DOF
  • Inverse kinematics function
  • Kinematic optimization
  • Manipulability
  • Redundancy resolution
  • Redundant robot

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