A novel quantitative measure of redundancy for kinematically redundant manipulators

Min Hsiung Hung, Fan Tien Cheng, Jen Kuei Ting

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, a novel quantitative measure of redundancy, called Refined Redundancy Index (RRI), which is measured in the joint-rate level, is proposed. Based on the concept that a larger solution space of the inverse kinematics problem represents larger redundancy, the RRI is defined as the normalized magnitude of the solution spaces. The value of the RRI varies from 0 to 1, and larger RRI corresponds to larger redundancy. Unlike joint-angle-level approaches, our method does not have the annoying problem that different regions of joint angles correspond to the same primary task. The proposed RRI is computationally efficient and easy to apply for real-time applications. Simulation results show that with RRI the manipulator can reduce the execution time of a given task significantly, compared to the conventional approach. The results also illustrate that motion failures can be avoided with RRI. RRI is potentially useful. It is believed that RRI can be applied to a variety of applications of redundant rob ots in the future.

Original languageEnglish
Pages (from-to)4060-4065
Number of pages6
JournalProceedings - IEEE International Conference on Robotics and Automation
Publication statusPublished - 2001

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Artificial Intelligence
  • Electrical and Electronic Engineering


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