A new numerical method for Stewart platform forward kinematics

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Abstract

This article proposes a numerical method based on equivalent model (NEM) for 6-3 Stewart platform forward kinematics problem (FKP). The NEM translates the forward kinematics problem into a ternary nonlinear equations system. Newton method was then used to solve the equations system. Simulations were conducted with different trajectories and allowable errors to compare the performance of NEM with traditional Newton-Raphson method (TNR). It turns out that NEM saves 50% iteration times, and 85% operation time of TNR, making the computing frequency as high as 54KHz, which is significant in real time control process. A practical structure of 6-3 Stewart platform without partial freedom was also designed.

Original languageEnglish
Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
EditorsJie Chen, Qianchuan Zhao, Jie Chen
PublisherIEEE Computer Society
Pages6311-6316
Number of pages6
ISBN (Electronic)9789881563910
DOIs
StatePublished - 26 Aug 2016
Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
Duration: 27 Jul 201629 Jul 2016

Publication series

NameChinese Control Conference, CCC
Volume2016-August
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference35th Chinese Control Conference, CCC 2016
Country/TerritoryChina
CityChengdu
Period27/07/1629/07/16

Keywords

  • Stewart platform
  • equivalent model
  • forward kinematics
  • practical structure

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