Mobile Robot Trajectory Analysis Using Computational Methods

Abstract

This paper presents some considerations regarding the trajectory analysis for a class of mobile robots, namely two-wheeled differential drive mobile robots, one of the most utilized mechanical structures now in mobile robotics practice. The paper is continuing the computational analysis of the Cauchy problem associated to a mobile robot kinematics. The phaseportrait graphical tool of the mathematical soft MAPLE11, points out the influence of the initial conditions the initial velocities of the driving (left and right) wheels of the robot on the robot trajectory. Considering a pair of few simulation cases for the initial conditions brings a good reliability of the analysis. The issue of repetitive phenomena is very important to notice in this context, as in the analysis it is repeated a specific allure of the trajectory. It brings important features, both from mathematical and robotic analysis standpoint. The further changes are due to the initial conditions variations. Repetitive phenomena can be collected in order to realize a global panel of random distributed events in the kinematics of two wheeled differential drive mobile robot and to use the statistical observations in the further analysis.