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兵工学报 ›› 2023, Vol. 44 ›› Issue (8): 2233-2244.doi: 10.12382/bgxb.2022.0326

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空地多目标攻击武器-目标分配与制导序列优化

张安, 徐双飞, 毕文豪*(), 徐晗   

  1. 西北工业大学 航空学院, 西安 陕西 710072
  • 收稿日期:2022-04-29 上线日期:2023-08-30
  • 通讯作者:
  • 基金资助:
    国家自然科学基金项目(62073267); 国家自然科学基金项目(61903305); 航空科学基金项目(201905053001); 西北工业大学博士论文创新基金项目(CX2022019)

Weapon-target Assignment and Guidance Sequence Optimization in Air-to-Ground Multi-target Attack

ZHANG An, XU Shuangfei, BI Wenhao*(), XU Han   

  1. School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
  • Received:2022-04-29 Online:2023-08-30

摘要:

武器-目标分配(WTA)与空地导弹的接力制导规划是远距离空地多目标攻击中亟需解决的难题,具有参数复杂、约束多、非线性强等特点。为此,建立多目标、多约束武器-目标分配与制导序列优化模型,优化目标为目标综合生存概率最小和总用弹量最少,约束条件涉及攻击机导弹配置、导弹毁伤能力、目标毁伤要求、制导站性能。对带精英策略的非支配排序遗传算法(NSGA-Ⅱ)进行改进,提出基于双序列编码的多种群NSGA-Ⅱ(DSMPNSGA-Ⅱ),通过优化WTA序列和制导站序列,实现WTA方案及各导弹制导序列的优化。在DSMPNSGA-Ⅱ中,使用深度优先搜索-Dijkstra算法搜索空地导弹制导序列,改进交叉和变异操作,以减少非可行解的产生,引入多种群策略提升算法性能。仿真结果表明,DSMPNSGA-Ⅱ能够获得有效的WTA与空地导弹接力制导方案,并且求解质量优于单种群NSGA-Ⅱ和多目标粒子群优化算法。

关键词: 武器-目标分配, 接力制导, 多目标优化, 遗传算法

Abstract:

Weapon-target assignment (WTA) and relay guidance of air-to-ground missiles are difficult problems to be solved urgently in long-range air-to-ground multi-target attack, and are characterized by complex parameters, multiple constraints, and strong nonlinearity. A multi-target and multi-constraint optimization model of WTA and guidance sequence is established, in which the objective includes the minimum comprehensive survival probability of targets and the minimum number of used missiles, and the constraints involve missile configuration of the attack aircraft, damage capability of the missiles, damage requirements of the targets, performance of the guidance stations, etc. A double sequence coding multi-population non-dominated sorting genetic algorithm Ⅱ (DSMPNSGA-Ⅱ) is proposed by improving NSGA-Ⅱ, which optimizes the scheme of WTA and every missile’s guidance sequence through optimizing the WTA sequence and guidance stations sequence. In DSMPNSGA-Ⅱ, the depth-first search Dijkstra (DFS-DJ) algorithm is used to search for missiles’ guidance sequences and improve crossover and mutation operations so as to reduce the production of infeasible solutions, and the multi-population strategy is introduced to improve the performance of DSMPNSGA-Ⅱ. The simulation results show that the DSMPNSGA-Ⅱ can obtain effective schemes of WTA and air-to-ground missile relay guidance, and that its solution quality is better than that of the single-population NSGA-Ⅱ and the multi-objective discrete particle swarm optimization (MODPSO) algorithm.

Key words: weapon-target assignment, relay guidance, multi-objective optimization, genetic algorithm

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