Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance
Optimization and Control
2025-03-04 v1
Abstract
In this paper we consider an optimal control problem in large time horizon and solve it numerically. More precisely, we are interested in an aerial vehicle guidance problem: launched from a ground platform, the vehicle aims at reaching a ground/sea target under specified terminal conditions while minimizing a cost modelling some performance and constraint criteria. Our goal is to implement the indirect method based on the Pontryagin maximum principle (PMP) in order to solve such a problem. After modeling the problem, we implement continuations in order to ''connect'' a simple problem to the original one. Particularly, we exploit the turnpike property in order to enhance the efficiency of the shooting.
Keywords
Cite
@article{arxiv.2503.01480,
title = {Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance},
author = {Veljko Askovic and Emmanuel Trélat and Hasnaa Zidani},
journal= {arXiv preprint arXiv:2503.01480},
year = {2025}
}