| 引用本文: | 宋晓程,黄书彦,陈鹏飞,薛文超,李陟.面向空间目标交汇的多拦截器最优部署算法[J].控制理论与应用,2023,40(10):1765~1773.[点击复制] |
| SONG Xiao-cheng,HUANG Shu-yan,CHEN Peng-fei,XUE Wen-chao,LI Zhi.On optimal deployment of multiple interceptors for spatial object intersection[J].Control Theory and Technology,2023,40(10):1765~1773.[点击复制] |
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| 面向空间目标交汇的多拦截器最优部署算法 |
| On optimal deployment of multiple interceptors for spatial object intersection |
| 摘要点击 1087 全文点击 301 投稿时间：2022-08-05 修订日期：2022-12-06 |
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| DOI编号 10.7641/CTA.2023.20698 |
| 2023,40(10):1765-1773 |
| 中文关键词 最优控制 目标交汇 最优位置部署 |
| 英文关键词 optimal control objects intersection optimal location |
| 基金项目 国家自然科学基金项目(62122083, 61973299), 中国科学院青年创新促进会项目 |
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| 中文摘要 |
| 对空间目标的交汇拦截是现代空天防御体系部署的关键环节, 而其核心优化控制问题为实现交汇次数的最大化. 本文针对一类多个拦截器与空间目标交汇的最优问题, 提出了同时优化拦截器初始部署位置和机动过程中加速度的最优控制策略. 首先, 建立了同时考虑了部署地域和动力学约束的交汇次数最大化的最优控制模型. 进一步, 给出了拦截器与目标可交汇的必要条件以及最优加速度输入设计, 进而使得将最优控制问题转为拦截器部署位置的优化问题. 最后, 严格给出了各个拦截器最优部署位置的具体计算过程. |
| 英文摘要 |
| The interception of spatial objects is a key part of space defense system deployment, where one of most important optimization problems is to maximize the number of interception. This paper presents an optimal control strategy for the intersection of multiple interceptors and spatial objects. Firstly, an optimal control model was established to maximize the number of conversions with considering both deployment region and dynamic constraints. Furthermore, the necessary conditions and optimal acceleration input design are given via transforming the optimal control problem into the optimization problem of the location of the intersection. Finally, the algorithm of the optimal deployment position for each intersection is proposed. |
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