English

An Optimal Engagement Zone Avoidance Scenario in 2-D

Optimization and Control 2021-11-18 v2

Abstract

In this paper, an optimal control problem is considered where a target vehicle aims to reach a desired location in minimum time while avoiding a dynamic engagement zone. Using simple motion, four potential approaches are considered. First, the min-time strategy which ignores the engagement zone is posed and solved. Second, the min-time strategy which avoids the engagement zone entirely is considered. Third, the min-time strategy which allows for some time in the engagement zone; but, still strives to stay away from the center of the engagement zone is posed. Lastly, a fixed final-time strategy is considered, wherein the target tries to avoid the engagement zone; but, is required to arrive at the desired location at a specific time. Using a nonlinear program solver, the optimal strategies are numerically solved. From the results of the numeric solutions, the optimal strategies are discussed and comparisons are drawn.

Keywords

Cite

@article{arxiv.2111.05904,
  title  = {An Optimal Engagement Zone Avoidance Scenario in 2-D},
  author = {Isaac E. Weintraub and Alexander Von Moll and Christian Carrizales and Nicholas Hanlon and Zachariah Fuchs},
  journal= {arXiv preprint arXiv:2111.05904},
  year   = {2021}
}
R2 v1 2026-06-24T07:34:16.564Z