A Three-Dimensional Nonsingular Simulation of Rigid Manipulators

Abstract

Robot manipulators have been studied, using various approaches to obtain the kinematic and dynamic equations which describe their motion. Conventional body-oriented robot arm kinematic equations have the disadvantage that a singular condition occurs when two successive links of the manipulator are aligned. When this occurs, the jacobian matrix which relates the end effector motion to the joint angle variations becomes singular and is not invertible, resulting in motion that can not be simulated. This thesis extends the previous work done in the investigation of a nonsingular Newton Euler approach to forward dynamic equations interpreted in a global (inertia) fixed reference frame. Specifically, the previous results are extended into validation of the approach for three-dimensional motion, including gravitational effects. In addition, the comparison and verification of the motion of an actual robotic manipulator to the simulation is investigated. Keywords: Computer program verification, Pressure transducers, Mechanical engineering.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA201964

Entities

People

  • Robert M. Verbos

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Autonomy
  • Cyber
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computer Programs
  • Computer Science
  • Computers
  • Control Panels
  • Coordinate Systems
  • Engineering
  • Equations
  • Geometry
  • Measurement
  • Mechanical Engineering
  • Pressure Transducers
  • Simulations
  • Solenoid Valves
  • Three Dimensional
  • Transducers
  • Two Dimensional
  • Validation

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Robotics and Automation.

Technology Areas

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