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Optimal control of a nonholonomic motion planning for multibody systems

  • 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

Nonholonomicity arises in many mechanical systems subjected to nonintegrable velocity constraints or nonintegrable conservation laws. Due to nonholonomic constraints, the motion planning and control of a nonholonomic multibody system is much more difficult than that of a conventional system. Nonholonomic characteristic and controllable condition are investigated using the infinite dimension optimization and the control theory, regarding the system's dissipation energy as a target function and considering the nonholonomic characteristic, a numerical method for the nonholonmic motion planning without drift is proposed. The effectiveness of the numerical algorithm is demonstrated by numerical simulation.

Original languageEnglish
Pages (from-to)63-68
Number of pages6
JournalGongcheng Lixue/Engineering Mechanics
Volume23
Issue number3
StatePublished - Mar 2006
Externally publishedYes

Keywords

  • Motion planning
  • Multibody system
  • Nonholonomic constraint
  • Optimal control
  • Space manipulator

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