This problem was to calculate the path a robot would take to navigate an obstacle field and get to its goal. Three obstacles were given as negative potential fields which the robot avoided, and a goal was given a positive potential field that attracted the robot. The robot decided each step based on its distance, angle, and influence from every object. After each step, the robot recalculated and determined its next step until it reached its goal. The robot's calculations and steps were simulated with Microsoft Excel.
"Robotics Potential Fields,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 3.
DOI: http://dx.doi.org/10.5038/2326-3618.104.22.168 Available at: http://scholarcommons.usf.edu/ujmm/vol2/iss1/3
Razvan Teodorescu, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering
Mayur Palankar, Computer Scientist