Freeing the Serial Mechanism Designer from Inverse Kinematic Solvability Constraints

Abstract

This paper presents a fast numerical solution for the inverse kinematics of a serial manipulator. The method is implemented on the C-arm, a manipulator designed for use in robotic surgery. The inverse kinematics solution provides all possible solutions for any six degree-of-freedom serial manipulator, assuming that the forward kinematics are known and that it is possible to solve for the remaining joint angles if one joint angle’s value is known. With a fast numerical method and the current levels of computing power, designing a manipulator with closed-form inverse kinematics is no longer necessary. When designing the C-arm, we therefore chose to weigh other factors, such as actuator size and patient safety, more heavily than the ability to find a closed-form inverse kinematics solution.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2010
Source ID
10.1155/2010/605978

Entities

People

  • Blake Hannaford
  • Diana C. W. Friedman
  • Jacob Rosen
  • Radivoje Jovanovic
  • Tim Kowalewski

Organizations

  • United States Army
  • University of California, Santa Cruz
  • University of Washington

Tags

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Robotics and Automation.

Technology Areas

  • AI & ML
  • AI & ML - Autonomous Systems
  • AI & ML - Machine Learning Algorithms
  • Autonomy