A Recursive Lagrangian Formulation of Manipulator Dynamics and a Comparative Study of Dynamics Formulation Complexity.

Abstract

A recursive formulation of manipulator dynamics based on the Lagrange equations has been developed. The efficiency of this formulation allows the dynamics to be computed in real time. The formulation is analogous to recently developed recursive Newton-Euler dynamics and shares the latter's efficiency. A comparison of the number of adds and multiplies required under different Lagrangian, Newtonian, and tabular formulations shows that recursive formulations based either on the Lagrange or on the Newton equations offer the overall best method of dynamics calculation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA078067

Entities

People

  • John M. Hollerbach

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Dynamics
  • Efficiency
  • Equations
  • Manipulators

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Robotics and Automation.
  • Theoretical Analysis.