This paper addresses the trajectory planning for multiple autonomous underwater vehicles (AUVs) in strong waves that can disturb the AUVs' trajectory tracking ability and cause obstacle and inter-vehicle collisions. A novel approach based on Hamilton-Jacobi differential game formulation and model predictive control is proposed to generate safety-guaranteed trajectories for AUV systems considering wave disturbance that is either time-varying state-independent or time-varying state-dependent. This approach plans safety-guaranteed trajectories for multiple AUVs and considers the shapes of AUVs, where nonlinear smooth collision avoidance constraints are obtained via strong duality.
@article{arxiv.2011.13505,
title = {Trajectory planning for multiple autonomous underwater vehicles with safety guarantees},
author = {Shuhao Zhang and Yujia Yang and Seth Siriya and Ye Pu},
journal= {arXiv preprint arXiv:2011.13505},
year = {2020}
}