Kinematic modeling for a type of mobile robot using differential motion transformation

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Abstract

Kinematic modeling is a prerequisite for motion planning and the control of mobile robots. In this paper, we proposed a new method of kinematic modeling for a type of mobile robot based on differential motion transformation. The differential motion implies a small translation and rotation in three-dimensional space in a small time interval. Thus, transformation of the differential motion gives the velocity relationship, i.e., Jacobian between two coordinate frames. Since the theory of the differential motion transformation is well-developed, it is useful for the systematic velocity kinematic modeling of mobile robots. In order to show the validity for application of the differential motion transformation, we obtained velocity kinematic models for a type of exemplar mobile robot including spherical ballbots.

Original languageEnglish
Pages (from-to)1145-1151
Number of pages7
JournalJournal of Institute of Control, Robotics and Systems
Volume19
Issue number12
DOIs
StatePublished - 2013

Keywords

  • Ballbot
  • Coordinate transform
  • Differential motion transformation
  • Kinematics
  • Wheeled mobile robot

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