Different-level two-norm and infinity-norm minimization to remedy joint-torque instability/divergence for redundant robot manipulators

Authors:
Dongsheng Guo;Yunong Zhang
Affiliations:
School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China;School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China and Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen 518057, China
Venue:
Robotics and Autonomous Systems
Year:
2012

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Abstract

To remedy the joint-torque instability/divergence phenomenon arising in the conventional infinity-norm torque-minimization (INTM) scheme, and prevent the occurrence of high joint-velocity and joint-acceleration as well, a different-level bi-criteria minimization scheme is proposed and investigated in this paper for redundant robot manipulators with physical constraints (e.g., joint-angle limits, joint-velocity limits and joint-acceleration limits) considered. Such a scheme combines the minimum two-norm joint-velocity and infinity-norm joint-torque solutions via a weighting factor, which guarantees the final joint-velocity of the motion to be near zero (more acceptable for engineering application). In addition, the different-level scheme is reformulated as a general quadratic program (QP) and resolved at the joint-acceleration level. Computer-simulation results based on the PUMA560 robot manipulator further demonstrate the effectiveness and advantages of the proposed different-level bi-criteria minimization scheme for robotic redundancy resolution.