Optimization of vehicles’ trajectories by means of interpolation and approximation methods
¹Matej Bel University, Faculty of Natural Sciences, Department of Technology, Tajovského 40, SK 974 01 Banská Bystrica, Slovakia
²Czech University of Life Sciences Prague, Faculty of Engineering, Department of Electrical Engineering and Automation, Kamýcká 129, CZ 16521 Prague 6, Czech Republic
The need to optimize the trajectory of vehicles is still highly topical, regardless weather the means of transport are robots, forklifts or road vehicles. It is not only important the safety by passing obstacles, but also the energy balance, i.e. the energy expended on the movement of the vehicle and on the change of its direction. This paper presents a mathematical approach to solving this problem through interpolation and approximation curves.