Improved dialytic elimination algorithm for the forward kinematics of the general Stewart-Gough platform

Tae Young Lee, Jae Kyung Shim

Research output: Contribution to journalArticle

36 Citations (Scopus)


This paper presents the forward kinematics of the general Stewart-Gough platform using dialytic elimination. The proposed algorithm, when implemented in a computer language, provides all the solutions in fairly less computation time compared to the existing ones, mainly due to the fact that it directly leads to a 40th-degree univariate equation from a constructed 15 × 15 Sylvester's matrix which is relatively small in size. In addition, the ways to avoid ill-conditioned linear systems in the solution procedure are dealt with for the purpose of enhancing the accuracy of the computed poses. Numerical examples are given to demonstrate the developed algorithm.

Original languageEnglish
Pages (from-to)563-577
Number of pages15
JournalMechanism and Machine Theory
Issue number6
Publication statusPublished - 2003 Jun 1


ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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