Curvature bounded trajectories of desired lengths for a Dubins vehicle☆
Abstract
This paper deals with the generation of planar trajectories for a Dubins vehicle between any two given oriented points. It is useful in applications wherein a single or multiple autonomous vehicles are to maneuver between any two points in a time bound manner. A feasible trajectory is constructed by the concatenation of two tangential circles. Additionally, we propose to also include LL and RR paths composed of internally tangent circles as a part of the feasible trajectories. In this framework, we show the existence of infinitely many such trajectories of varying lengths between any two given points. Further, the bounds on the lengths of such trajectories are discussed which illustrate the reachability of any desired length. Thereafter, we incorporate the notion of curvature boundedness into such trajectories and also determine the conditions necessary for the existence of trajectories of desired lengths. Finally, the results of this paper are illustrated using numerical simulations. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.