Recently, the specific problems arising to mobile robots are the following: determining the position and orientation of the robot on the field, planning an optimal path of motion and stationary or moving objects avoidance. This paper realizes a computational analysis of the Cauchy problem associated to a mobile robot kinematics. The 'phase portrait' 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 two simulation cases for the initial conditions brings a good reliability of the analysis. © 2013 Coman and Ionescu.
CITATION STYLE
Coman, D., & Ionescu, A. (2013). Computational analysis of the Cauchy problem associated to the kinematic model of a mobile robot. Boundary Value Problems, 2013. https://doi.org/10.1186/1687-2770-2013-138
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