Solving the forward kinematics problem of a parallel kinematic machine using the neural network method

Dan Zhang, Qi Shi, Jianhe Lei

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

In this paper, the forward kinematic problem of a 3-DOF asymmetrical parallel kinematic machine has been solved using multi-layered neural network method. The mathematical expression of the multi-layered feed forward neural networks with back-propagation is introduced. Neural network of the 3-DOF parallel manipulator was trained based on the data generated from the closed-form inverse kinematic solution. Levenberg-Marquardt algorithm is applied to train the moderate-sized feed forward neural network, which leads to the fastest convergence of the network. After the learning stage, the network was tested on a random selected data and the simulation results showed that the neural network configuration can receive the expected accuracy of the parallel manipulator. The optimal artificial neural network model of the 3-DOF parallel manipulator has been found with tan-sigmoid transfer function for the middle hidden layer. The trained neural network model of the forward kinematics of the 3-DOF parallel manipulator can be used for real-time control purpose.

Original languageEnglish
Title of host publicationTransactions of the North American Manufacturing Research Institution of SME 2010, NAMRI/SME
Pages727-733
Number of pages7
Publication statusPublished - 2010
Externally publishedYes
Event38th Annual North American Manufacturing Research Conference, NAMRC 38 - Kingston, ON, Canada
Duration: 25 May 201028 May 2010

Publication series

NameTransactions of the North American Manufacturing Research Institution of SME
Volume38
ISSN (Print)1047-3025

Conference

Conference38th Annual North American Manufacturing Research Conference, NAMRC 38
Country/TerritoryCanada
CityKingston, ON
Period25/05/1028/05/10

Keywords

  • Back-propagation
  • Forward/inverse kinematics
  • Multilayer perceptron (MLP)
  • Neural network
  • Parallel kinematic machine

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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