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Autores principales: Lu, Fangmin, Chen, Zheng, Wang, Kun
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2503.15362
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author Lu, Fangmin
Chen, Zheng
Wang, Kun
author_facet Lu, Fangmin
Chen, Zheng
Wang, Kun
contents An optimal guidance law for impact time control with field-of-view constraint is presented. The guidance law is derived by first converting the inequality-constrained nonlinear optimal control problem into an equality-constrained one through a saturation function. Based on Pontryagin's maximum principle, a parameterized system satisfying the necessary optimality conditions is established. By propagating this system, a large number of extremal trajectories can be efficiently generated. These trajectories are then used to train a neural network that maps the current state and time-to-go to the optimal guidance command. The trained neural network can generate optimal commands within 0.1 milliseconds while satisfying the field-of-view constraint. Numerical simulations demonstrate that the proposed guidance law outperforms existing methods and achieves nearly optimal performance in terms of control effort.
format Preprint
id arxiv_https___arxiv_org_abs_2503_15362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear Optimal Guidance for Impact Time Control with Field-of-View Constraint
Lu, Fangmin
Chen, Zheng
Wang, Kun
Optimization and Control
An optimal guidance law for impact time control with field-of-view constraint is presented. The guidance law is derived by first converting the inequality-constrained nonlinear optimal control problem into an equality-constrained one through a saturation function. Based on Pontryagin's maximum principle, a parameterized system satisfying the necessary optimality conditions is established. By propagating this system, a large number of extremal trajectories can be efficiently generated. These trajectories are then used to train a neural network that maps the current state and time-to-go to the optimal guidance command. The trained neural network can generate optimal commands within 0.1 milliseconds while satisfying the field-of-view constraint. Numerical simulations demonstrate that the proposed guidance law outperforms existing methods and achieves nearly optimal performance in terms of control effort.
title Nonlinear Optimal Guidance for Impact Time Control with Field-of-View Constraint
topic Optimization and Control
url https://arxiv.org/abs/2503.15362