基于目标分配的多弹协同分层拦截制导策略

doi:10.12305/j.issn.1001-506X.2025.05.29

摘要/Abstract

摘要：

针对面向高价值机动目标拦截问题, 为保证目标拦截成功率, 提出一种基于目标分配的多弹协同分层多点制导拦截方案, 并根据该方案分别设计出各拦截层的目标分配方案和多弹协同拦截制导律。首先, 引入目标重要性评估准则, 基于改进匈牙利算法提出一种目标分配方案, 并对该方案的可行性进行仿真。其次, 基于比例导引思想, 提出一种带有终端角度约束的多弹协同滑模制导律, 并通过数值仿真验证了所提制导律的有效性。仿真分析证明了该协同制导拦截方案的可行性和有效性。

关键词: 协同制导, 分层拦截, 目标分配, 制导律

Abstract:

Aiming at intercepting high-value maneuvering targets, in order to ensure the success rate of target interception, a multi-missile cooperative layered multipoint guidance interception scheme based on target assignment is proposed. Firstly, a target assignment scheme based on improved Hungarian algorithm is proposed by introducing the target importance evaluation criteria, and the feasibility of the scheme is simulated. Secondly, based on the idea of proportional guidance, a multi-missile cooperative sliding mode guidance law with terminal angle constraint is proposed, and the effectiveness of the guidance law is verified through numerical simulation. Simulation analysis proves the feasibility and effectiveness of the cooperative guidance interception scheme.

Key words: cooperative guidance, layered interception, target assignment, guidance law

中图分类号:

TJ765.3

赵在强, 杨召, 杨添琦. 基于目标分配的多弹协同分层拦截制导策略[J]. 系统工程与电子技术, 2025, 47(5): 1671-1679.

Zaiqiang HAO, Zhao YANG, Tianqi YANG. Multi-missile cooperative layered interception guidance scheme based on target assignment[J]. Systems Engineering and Electronics, 2025, 47(5): 1671-1679.

图/表 13

图1

图2

图3

图4

表1

表2

图5

表3

图6

表4

表5

表6

图7

参考文献 36

1	欧峤,贺筱媛,陶九阳.协同目标分配问题研究综述[J].系统仿真学报,2019,31(11):2216-2227.
	OUQ,HEX Y,TAOJ Y.Overview of cooperative target assignment[J].Journal of System Simulation,2019,31(11):2216-2227.
2	张进,郭浩,陈统.基于可适应匈牙利算法的武器-目标分配问题[J].兵工学报,2021,42(6):1339-1344. doi: 10.3969/j.issn.1000-1093.2021.06.025
	ZHANGJ,GUOH,CHENT.Weapon-target assignment based on adaptable Hungarian algorithm[J].Acta Armamentarii,2021,42(6):1339-1344. doi: 10.3969/j.issn.1000-1093.2021.06.025
3	KLINEA,AHNERD,HILLR.The weapon-target assignment problem[J].Computers & Operations Research,2019,105,226-236.
4	ZHOUJ L,YANGJ Y.Distributed guidance law design for coope-rative simultaneous attacks with multiple missiles[J].Journal of Guidance, Control, and Dynamics,2016,39(10):2439-2447. doi: 10.2514/1.G001609
5	ZHANGS,GUOY,LIUZ G,et al.Finite-time cooperative guidance strategy for impact angle and time control[J].IEEE Trans.on Aerospace and Electronic Systems,2021,57(2):806-819. doi: 10.1109/TAES.2020.3037958
6	CHENZ Y,YUJ L,DONGX W,et al.Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target[J].Chinese Journal of Aeronautics,2021,34(5):485-495. doi: 10.1016/j.cja.2020.12.014
7	DONGW,WANGC Y,LIUJ H,et al.Three-dimensional vector guidance law with impact time and angle constraints[J].Journal of the Franklin Institute,2023,360(2):693-718. doi: 10.1016/j.jfranklin.2022.11.035
8	CHOD,KIMH J,TAHKM J.Nonsingular sliding mode gui-dance for impact time control[J].Journal of Guidance, Control, and Dynamics,2016,39(1):1-8. doi: 10.2514/1.G000274
9	SONGJ H,SONGS M,XUS L.Three-dimensional cooperative guidance law for multiple missiles with finite-time convergence[J].Aerospace Science and Technology,2017,67,193-205. doi: 10.1016/j.ast.2017.04.007
10	LIH X,LIH J,CAIY L.Three-dimensional cooperative guidance law to control impact time and angle with fixed-time convergence[J].Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering,2022,236(8):1647-1666. doi: 10.1177/09544100211043093
11	ZHAOJ,ZHOUR.Unified approach to cooperative guidance laws against stationary and maneuvering targets[J].Nonlinear Dynamics,2015,81(4):1635-1647. doi: 10.1007/s11071-015-2096-z
12	JEONI S,LEEJ I.Impact-time-control guidance law with constraints on seeker look angle[J].IEEE Trans.on Aerospace and Electronic Systems,2017,53(5):2621-2627. doi: 10.1109/TAES.2017.2698837
13	温广辉,周佳玲,吕跃祖,等.多弹协同作战中的分布式协调控制问题[J].指挥与控制学报,2021,7(2):137-145.
	WENG H,ZHOUJ L,LYUY Z,et al.Distributed coordination control in multi-missile cooperative tasks[J].Journal Of Command and Control,2021,7(2):137-145.
14	ZHANGZ,DONGX W,YVJ L,et al.Distributed cooperative tracking and cooperative guidance against maneuvering ae-rial target[J].Aerospace Science and Technology,2024,144,108827. doi: 10.1016/j.ast.2023.108827
15	SHIP F,YUJ L,DONGX W,et al.Distributed adaptive coope-rative guidance against maneuvering targets with time-varying terminal angle constraint and overload saturation[J].Journal of the Franklin Institute,2023,360(16):11507-11528. doi: 10.1016/j.jfranklin.2023.08.041
16	DONGF,ZHANGX Y,TANP L.Non-singular terminal sliding mode cooperative guidance law under impact angle constraint[J].Journal of the Franklin Institute,2024,361(14):107079. doi: 10.1016/j.jfranklin.2024.107079
17	CHENZ Y,LIUX M,CHENW C.Three-dimensional event-triggered fixed-time cooperative guidance law against maneuvering target with the constraint of relative impact angles[J].Journal of the Franklin Institute,2023,360(6):3914-3966. doi: 10.1016/j.jfranklin.2023.02.027
18	ZHANGP,ZHANGX Y.Multiple missiles fixed-time coope-rative guidance without measuring radial velocity for maneuvering targets interception[J].ISA Transactions,2022,126(7):388-397.
19	CUIL,JINN,CHANGS P,et al.Prescribed-time guidance scheme design for missile salvo attack[J].Journal of the Franklin Institute,2022,359(13):6759-6782. doi: 10.1016/j.jfranklin.2022.07.008
20	YOUH,CHANGX L,ZHAOJ F,et al.Three-dimensional impact-angle-constrained cooperative guidance strategy against maneuvering target[J].ISA Transactions,2023,138(7):262-280.
21	YOUH,CHANGX L,ZHAOJ F,et al.Three-dimensional impact-angle-constrained fixed-time cooperative guidance algorithm with adjustable impact time[J].Aerospace Science and Technology,2023,141,108574. doi: 10.1016/j.ast.2023.108574
22	KANGH L,WANGP Y,SONGS M,et al.A generalized three-dimensional cooperative guidance law for various communication topologies with field-of-view constraint[J].Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering,2023,237(10):2353-2369. doi: 10.1177/09544100231153265
23	YUH,DAIK R,LIH J,et al.Three-dimensional adaptive fixed-time cooperative guidance law with impact time and angle constraints[J].Aerospace Science and Technology,2022,123,107450. doi: 10.1016/j.ast.2022.107450
24	ZHANGX Y,DONGF,ZHANGP.A new three-dimensional fixed time sliding mode guidance with terminal angle constraints[J].Aerospace Science and Technology,2022,121,107370. doi: 10.1016/j.ast.2022.107370
25	ZHANGY A,WANGX L,WUH L.Impact time control guidance law with field of view constraint[J].Aerospace Science and Technology,2014,39,361-369. doi: 10.1016/j.ast.2014.10.002
26	LYUT,LIC J,GUOY N,et al.Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements[J].Chinese Journal of Aeronautics,2019,32(5):1294-1304. doi: 10.1016/j.cja.2018.12.005
27	CHENX T,WANGJ Z.Nonsingular sliding-mode control for field-of-view constrained impact time guidance[J].Journal of Guidance, Control, and Dynamics,2018,41(5):1210-1218.
28	CHENS W,WANGW,FANJ F.Three-dimensional piecewise cooperative guidance with smooth switching topology[J].Aerospace Science and Technology,2024,150,109181.
29	TAOH,LIND F,SONGT,et al.Optimal spatial-temporal cooperative guidance against a maneuvering target[J].Journal of the Franklin Institute,2023,360(13):9886-9903.
30	ZHANY,LIS Y,ZHOUD.Time-to-go based three-dimensional multi-missile spatio-temporal cooperative guidance law: A novel approach for maneuvering target interception[J].ISA Transactions,2024,149(6):178-195.
31	景亮. 多拦截弹时间收敛协同制导律研究[D]. 哈尔滨: 哈尔滨工业大学, 2021.
	JING L. Research on time convergence cooperative guidance law for multiple interceptor[D]. Harbin: Harbin Institute of Technology, 2021.
32	CROUSEF D.On implementing 2D rectangular assignment algorithms[J].IEEE Trans.on Aerospace and Electronic Systems,2016,52(4):1679-1696.
33	杨海燕,韩城,张帅文.基于FDBN的空中目标威胁评估方法[J].火力与指挥控制,2019,44(1):29-33.
	YANGH Y,HANC,ZHANGS W.Research of aerial target threat assessment based on fuzzy dynamic Bayesian network[J].Fire Control & Command Control,2019,44(1):29-33.
34	周梦平,孟秀云,刘俊辉.大落角机动目标逆轨拦截最优滑模制导律设计[J].系统工程与电子技术,2022,44(9):2886-2893. doi: 10.12305/j.issn.1001-506X.2022.09.23
	ZHOUM P,MENGX Y,LIUJ H.Design of optimal sliding mode guidance law for head-on interception of maneuvering targets with large angle of fall[J].Systems Engineering and Electronics,2022,44(9):2886-2893. doi: 10.12305/j.issn.1001-506X.2022.09.23
35	赵斌,梁乐成,蒋瑞民,等.终端角度约束制导及制导控制一体化方法综述[J].宇航学报,2022,43(5):563-579.
	ZHAOB,LIANGL C,JIANGR M,et al.Review of gui-dance and integrated guidance and control methods under terminal angle constraints[J].Journal of Astronautics,2022,43(5):563-579.
36	王晓海,孟秀云,周峰,等.基于偏置比例导引的落角约束滑模制导律[J].系统工程与电子技术,2021,43(5):1295-1302. doi: 10.12305/j.issn.1001-506X.2021.05.17
	WANGX H,MENGX Y,ZHOUF,et al.Sliding mode gui-dance law with impact angle constraint based on bias proportional navigation[J].Systems Engineering and Electronic,2021,43(5):1295-1302. doi: 10.12305/j.issn.1001-506X.2021.05.17

拦截弹	目标
拦截弹	目标1	目标2	目标3
拦截弹1	0.4	0.5	0.7
拦截弹2	0.6	0.9	0.3
拦截弹3	0.8	0.3	0.5
拦截弹4	0.5	0.6	0.5
拦截弹5	0.7	0.5	0.7
拦截弹6	0.6	0.9	0.6
拦截弹7	0.8	0.6	0.5
拦截弹8	0.6	0.4	0.8
拦截弹9	0.5	0.5	0.7

参数	拦截弹1	拦截弹2	目标
位置/km	[-1, 0]	[0, 0]	^{[25, 8]}
速度/(m·s^-1)	540	500	340
弹道倾角/(°)	30	45	—
期望弹道倾角/(°)	15	30	—

拦截弹	目标
拦截弹	目标1	目标2
拦截弹1	0.7	0.5
拦截弹2	0.6	0.7
拦截弹3	0.8	0.5
拦截弹4	0.5	0.6

拦截弹及目标	位置/km	速度/(m·s^-1)	弹道倾角/(°)	期望弹道倾角/(°)
拦截弹1	[0, 0]	500	60	30
拦截弹2	[-2.5, 0]	510	60	30
拦截弹3	[-3.5, 0]	580	30	15
拦截弹4	[4, 0]	560	60	15
目标1	[30, 11]	330	—	—
目标2	[30, 12]	380	—	—

[1]	郭博, 铁鸣, 范文慧, 李传旭. 基于滑模控制的高升阻比飞行器协同制导方法[J]. 系统工程与电子技术, 2025, 47(2): 580-590.
[2]	何通, 卢青, 周军, 郭宗易. 带有神经网络干扰观测器的视线角约束制导[J]. 系统工程与电子技术, 2024, 46(4): 1372-1382.
[3]	隆雨佟, 陈爱国, 史红权, 曾黎. 基于改进差分进化算法的跨平台武器目标分配方法[J]. 系统工程与电子技术, 2024, 46(3): 953-962.
[4]	吕娜, 王茂桓, 钟元芾, 张英朝, 孙蕾. 二分图匹配模型下的武器目标分配问题[J]. 系统工程与电子技术, 2024, 46(2): 549-560.
[5]	张嘉辉, 蒙志君, 何家政, 王子琛, 林尤深. 基于改进能量谷优化的多无人机空战目标分配[J]. 系统工程与电子技术, 2024, 46(11): 3754-3763.
[6]	马悦, 吴琳, 许霄. 基于多智能体强化学习的协同目标分配[J]. 系统工程与电子技术, 2023, 45(9): 2793-2801.
[7]	郑多, 韩煜, 鲁天宇, 初治辰. 考虑避碰与任务分配的多飞行器协同制导技术[J]. 系统工程与电子技术, 2023, 45(9): 2873-2883.
[8]	游骏, 张科, 韩治国, 蔡天星, 张程. 带视线角约束的三维超螺旋滑模协同制导律[J]. 系统工程与电子技术, 2023, 45(7): 2138-2149.
[9]	赵石磊, 陈万春, 杨良, 冯卓. 大气层内助推段广义标控脱靶量解析制导律[J]. 系统工程与电子技术, 2023, 45(7): 2150-2157.
[10]	李梦杰, 常雪凝, 石建迈, 陈超, 黄金才, 刘忠. 武器目标分配问题研究进展: 模型、算法与应用[J]. 系统工程与电子技术, 2023, 45(4): 1049-1071.
[11]	赵蒙, 端军红, 王明宇, 殷双斌, 鲁娜. 基于零控脱靶量的大气层外拦截中制导方法研究[J]. 系统工程与电子技术, 2023, 45(2): 538-545.
[12]	常雪凝, 石建迈, 陈超, 黄金才. 基于匈牙利-模拟退火算法的多阶段武器目标分配方法[J]. 系统工程与电子技术, 2023, 45(11): 3516-3523.
[13]	朱晓雯, 范成礼, 卢盈齐, 朱文正, 吴暄. 基于改进BBO算法和模糊期望效果的反导武器目标分配建模与实现[J]. 系统工程与电子技术, 2023, 45(11): 3544-3554.
[14]	陆浩然, 郑伟, 常晓华. 基于鲁棒精确微分器的分数阶滑模制导律设计[J]. 系统工程与电子技术, 2023, 45(1): 175-183.
[15]	周梦平, 孟秀云, 刘俊辉. 大落角机动目标逆轨拦截最优滑模制导律设计[J]. 系统工程与电子技术, 2022, 44(9): 2886-2893.