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arXiv · 2503.01480

Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance

Veljko Askovic·Emmanuel Trélat·Hasnaa Zidani
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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.

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Veljko Askovic, Emmanuel Trélat, Hasnaa Zidani. 2025-03-03. Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance. https://arxiv.org/abs/2503.01480

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