Torque Optimizing Control with Singularity-Robustness for Kinematically Redundant Robots

  • Authors:
  • C. Y. Chung;B. H. Lee;M. S. Kim;C. W. Lee

  • Affiliations:
  • School of Electrical Engineering, Seoul National University, Shillim-dong, Kwanak-ku, Seoul 151-742, Korea;School of Electrical Engineering, Seoul National University, Shillim-dong, Kwanak-ku, Seoul 151-742, Korea/ e-mail: bhlee@asri.snu.ac.kr;Human Robot Research Center, Korea Institute of Science and Technology, Seoul 135-081, Korea;Human Robot Research Center, Korea Institute of Science and Technology, Seoul 135-081, Korea

  • Venue:
  • Journal of Intelligent and Robotic Systems
  • Year:
  • 2000

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Abstract

A new control method for kinematically redundant manipulators having the properties of torque-optimality and singularity-robustness is developed. A dynamic control equation, an equation of joint torques that should be satisfied to get the desired dynamic behavior of the end-effector, is formulated using the feedback linearization theory. The optimal control law is determined by locally optimizing an appropriate norm of joint torques using the weighted generalized inverses of the manipulator Jacobian-inertia product. In addition, the optimal control law is augmented with fictitious joint damping forces to stabilize the uncontrolled dynamics acting in the null-space of the Jacobian-inertia product. This paper also presents a new method for the robust handling of robot kinematic singularities in the context of joint torque optimization. Control of the end-effector motions in the neighborhood of a singular configuration is based on the use of the damped least-squares inverse of the Jacobian-inertia product. A damping factor as a function of the generalized dynamic manipulability measure is introduced to reduce the end-effector acceleration error caused by the damping. The proposed control method is applied to the numerical model of SNU-ERC 3-DOF planar direct-drive manipulator.