English

Obstacle avoidance via B-spline parameterizations of flat trajectories

Systems and Control 2016-03-17 v1

Abstract

This paper considers the collision avoidance problem in a multi-agent multi-obstacle framework. The originality in solving this intensively studied problem resides in the proposed geometrical view combined with differential flatness for trajectory generation and B-splines for the flat output parametrization. Using some important properties of these theoretical tools we show that the constraints can be validated at all times. Exact and sub-optimal constructions of the collision avoidance optimization problem are provided. The results are validated through extensive simulations over standard autonomous aerial vehicle dynamics.

Keywords

Cite

@article{arxiv.1603.04911,
  title  = {Obstacle avoidance via B-spline parameterizations of flat trajectories},
  author = {Florin Stoican and Vlad-Mihai Ivanusca and Ionela Prodan},
  journal= {arXiv preprint arXiv:1603.04911},
  year   = {2016}
}

Comments

7 pages, 4 figure, submitted as regular conference paper to MED'16

R2 v1 2026-06-22T13:11:52.997Z