Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels

Abstract

The article discusses the issue of controlling a four-wheeled mobile robot with omnidirectional wheelsof the mecanum type. An analysis of the rotational motion of the omnidirectional mecanum wheel was carriedout, based on its kinematics. For a specific robot with certain overall parameters, a graph of changes in the radiusof the mecanum wheel depending on the angle of its rotation was constructed. Kinematic and dynamic modelsof a mobile four-wheeled robot have been compiled, taking into account its geometric characteristics. The presented expressions are a mathematical description of the behavior of a mobile robot in statics and dynamics. Basedon the obtained models, the principles of operation of the motion control system for a four-wheeled mobile roboton omnidirectional wheels of the mecanum type are formed.

Keywords

• mecanum wheel
• omnidirectional wheel
• mobile robot
• mathematical model
• kinematic model
• dynamic model
• inverse kinematics