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Motion planning of a nonholonomic multibody system using genetic algorithm

  • Xin Sheng Ge*
  • , Li Qun Chen
  • , Yan Zhu Liu
  • *Corresponding author for this work
  • Beijing Institute of Machinery
  • Shanghai University
  • Shanghai Jiao Tong University

Research output: Contribution to journalArticlepeer-review

Abstract

The motion planning of a nonholonomic multibody system is investigated. Nonholonomicity arises in many mechanical systems subject to nonintegrable velocity constraints or nonintegrable conservation laws. When the total angular momentum is zero, the control problem of system can be converted to the motion planning problem for a driftless control system. In this paper, an optimal control approach is proposed for the discussed problem. To connect the initial and final configurations and to generate a feasible trajectory for a nonholonomic system, the genetic algorithm is used to optimize the performance of motion planning. The feasible trajectory and its control inputs are searched through a genetic algorithm. The effectiveness of the genetic algorithm is demonstrated by numerical simulation.

Original languageEnglish
Pages (from-to)113-120
Number of pages8
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume6
Issue number2
DOIs
StatePublished - 2005
Externally publishedYes

Keywords

  • Genetic algorithm
  • Motion planning
  • Multibody system
  • Nonholonomic

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