电子电气工程与控制

多飞行器协同制导技术研究综述与展望

  • 王蒙一 ,
  • 赵宇帆 ,
  • 孟子阳 ,
  • 王林波
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  • 1.中国长峰机电技术研究设计院,北京 100854
    2.北京电子工程总体研究所,北京 100854
    3.清华大学 精密仪器系,北京 100084
.E-mail: zhaoyufanjack@163.com

收稿日期: 2025-07-21

  修回日期: 2025-09-09

  录用日期: 2025-10-16

  网络出版日期: 2025-10-24

基金资助

国家自然科学基金(U2241217)

Review and prospects of multi-aircraft cooperative guidance technology

  • Mengyi WANG ,
  • Yufan ZHAO ,
  • Ziyang MENG ,
  • Linbo WANG
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  • 1.Changfeng Electromechanical Technology Design Academy,Beijing 100854,China
    2.Beijing Institute of Electronic System Engineering,Beijing 100854,China
    3.Department of Precision Instrument,Tsinghua University,Beijing 100084,China

Received date: 2025-07-21

  Revised date: 2025-09-09

  Accepted date: 2025-10-16

  Online published: 2025-10-24

Supported by

National Natural Science Foundation of China(U2241217)

摘要

针对多飞行器协同制导技术这一精确制导领域的当前研究热点和未来重要发展方向,系统阐述了多飞行器协同制导技术的研究进展并对未来研究方向进行了展望。首先,深入分析了近年来相关主题的国内外文献,进行了聚类标签优化分析;其次,根据分析结果对多飞行器协同制导技术的研究方向进行了分类,按照基于架构优化的多飞行器协同制导、考虑约束条件的多飞行器协同制导和基于微分博弈的多飞行器协同制导3个方向进行归纳综述,详细总结了各研究方向的研究脉络与技术路径;最后基于当前多飞行器协同制导技术的研究趋势,提炼了跨域多飞行器协同制导架构、多模复合协同制导和智能算法应用3个多飞行器协同制导技术的未来研究方向。

本文引用格式

王蒙一 , 赵宇帆 , 孟子阳 , 王林波 . 多飞行器协同制导技术研究综述与展望[J]. 航空学报, 2026 , 47(2) : 332603 -332603 . DOI: 10.7527/S1000-6893.2025.32603

Abstract

Multi-aircraft cooperative guidance technology currently represents a research hotspot and crucial development direction in the field of precision guidance. This paper systematically elaborates research progress and developmental trends in multi-aircraft cooperative guidance technology. First, recent domestic and international literature on related topics is analyzed in depth. A cluster label optimization analysis is conducted and a keyword clustering diagrams is generated. Subsequently, based on the keyword clustering results, the research directions of multi-aircraft cooperative guidance technology are categorized into three distinct approaches: architecture optimization-based cooperative guidance, constraint-based cooperative guidance, and differential game-based cooperative guidance. Each research direction is comprehensively reviewed through inductive synthesis, with detailed summaries of their research frameworks and technical pathways. Finally, considering the current research trends in multi-aircraft cooperative guidance technology, three prospective development directions are identified: heterogeneous multi-aircraft cooperative guidance architectures, multi-mode composite cooperative guidance, and application of intelligent algorithms. These proposed directions establish a foundation for advancing future research in this field.

参考文献

[1] 魏明英, 崔正达, 李运迁. 多弹协同拦截综述与展望[J]. 航空学报202041(S1): 723804.
  WEI M Y, CUI Z D, LI Y Q. Review and prospect of multi-missile cooperative interception[J]. Acta Aeronautica et Astronautica Sinica202041(S1): 723804.
[2] 施广慧, 赵瑞星, 田加林, 等. 多导弹协同制导方法分类综述[J]. 飞航导弹2017(1): 85-90.
  SHI G H, ZHAO R X, TIAN J L, et al. Classification and summary of multi-missile cooperative guidance methods[J]. Aerodynamic Missile Journal2017(1): 85-90 (in Chinese).
[3] 周敏, 王一鸣, 郭建国, 等. 多弹协同末制导方法综述[J]. 航空兵器202330(4): 17-25.
  ZHOU M, WANG Y M, GUO J G, et al. A survey of multi-missile cooperative terminal guidance[J]. Aero Weaponry202330(4): 17-25 (in Chinese).
[4] 赵建博, 杨树兴. 多导弹协同制导研究综述[J]. 航空学报201738(1): 020256.
  ZHAO J B, YANG S X. Review of multi-missile cooperative guidance[J]. Acta Aeronautica et Astronautica Sinica201738(1): 020256 (in Chinese).
[5] 姚禹正, 余文斌, 杨立军, 等. 多导弹协同制导技术综述[J]. 飞航导弹2021(6): 112-121.
  YAO Y Z, YU W B, YANG L J, et al. Summary of multi-missile cooperative guidance technology[J]. Aerodynamic Missile Journal2021(6): 112-121 (in Chinese).
[6] LIU S X, LIN Z H, HUANG W, et al. Technical development and future prospects of cooperative terminal guidance based on knowledge graph analysis: A review[J]. Journal of Zhejiang University: Science A202526(7): 605-634.
[7] ZHOU J L, WU X J, LV Y Z, et al. Recent progress on the study of multi-vehicle coordination in cooperative attack and defense: An overview[J]. Asian Journal of Control202224(2): 794-809.
[8] 吕金虎, 于江龙, 董希旺. 飞行器集群协同制导新进展[J]. 自动化学报202551(4): 727-743.
  Lü J H, YU J L, DONG X W. New progress in cooperative guidance for aircraft swarm system[J]. Acta Automatica Sinica202551(4): 727-743 (in Chinese).
[9] 董希旺, 于江龙, 化永朝, 等. 多飞行器攻击时间一致性协同制导进展综述与展望[J]. 北京航空航天大学学报202248(9): 1836-1844.
  DONG X W, YU J L, HUA Y Z, et al. Review and prospect of cooperative guidance with attack time consensus for multiple aerial vehicles[J]. Journal of Beijing University of Aeronautics and Astronautics202248(9): 1836-1844 (in Chinese).
[10] 周彬, 郑浩宇, 郝明瑞, 等. 多约束下的协同制导方法研究综述[J]. 无人系统技术20258(4): 1-24.
  ZHOU B, ZHENG H Y, HAO M R, et al. Review of cooperative guidance method under multiple constraints[J]. Unmanned Systems Technology20258(4): 1-24 (in Chinese).
[11] LIU X Y, HAO M R. Review of formation control and cooperative guidance technology of multiple unmanned aerial vehicles[C]∥Advances in Guidance, Navigation and Control. Singapore: Springer, 2023: 4445-4456.
[12] 胡砚洋, 王温, 白成超. 滑翔式高超声速飞行器时间协同与编队控制技术研究综述[J]. 中国科学: 物理学 力学 天文学202555(9): 20-33.
  HU Y Y, WANG W, BAI C C. Time coordination and formation control techniques for hypersonic gliding vehicles: a survey[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 202555(9): 20-33 (in Chinese).
[13] 马文卉, 刘双喜, 黄伟, 等. 基于收敛性能的多导弹网络化协同制导律综述[J]. 中国科学: 技术科学202555(4): 681-697.
  MA W H, LIU S X, HUANG W, et al. Research progress of convergence performance-based networked cooperative guidance laws: A review[J]. Scientia Sinica (Technologica)202555(4): 681-697 (in Chinese).
[14] LIU S X, YAN B B, HUANG W, et al. Current status and prospects of terminal guidance laws for intercepting hypersonic vehicles in near space: A review[J]. Journal of Zhejiang University: Science A202324(5): 387-403.
[15] 雷虎民, 骆长鑫, 周池军, 等. 临近空间防御作战拦截弹制导与控制关键技术综述[J]. 航空兵器202128(2): 1-10.
  LEI H M, LUO C X, ZHOU C J, et al. Summary of key technologies of interceptor guidance and control in near space defense operations[J]. Aero Weaponry202128(2): 1-10 (in Chinese).
[16] 杨剑影, 周佳玲, 魏小倩. 多导弹攻击高机动目标的分布式协同制导关键技术[J]. 航空兵器201724(3): 3-12.
  YANG J Y, ZHOU J L, WEI X Q. Key technologies of distributed cooperative guidance and control method for multiple missiles attacking the maneuvering target[J]. Aero Weaponry201724(3): 3-12 (in Chinese).
[17] 陈悦, 陈超美, 刘则渊, 等. CiteSpace知识图谱的方法论功能[J]. 科学学研究201533(2): 242-253.
  CHEN Y, CHEN C M, LIU Z Y, et al. The methodology function of Cite Space mapping knowledge domains[J]. Studies in Science of Science201533(2): 242-253 (in Chinese).
[18] 李杰, 陈超美. CiteSpace: 科技文本挖掘及可视化[M]. 北京: 首都经济贸易大学出版社, 2016: 149-152.
  LI J, CHEN C M. CiteSpace: Text mining and visualization in scientific literature[M]. Beijing: Capital University of Economics and Business Press, 2016: 149-152 (in Chinese).
[19] KANG H L, WANG P Y, SONG S M. 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 Engineering2023237(10): 2353-2369.
[20] 赵世钰, 周锐. 基于协调变量的多导弹协同制导[J]. 航空学报200829(6): 1605-1611.
  ZHAO S Y, ZHOU R. Multi-missile cooperative guidance using coordination variables[J]. Acta Aeronautica et Astronautica Sinica200829(6): 1605-1611 (in Chinese).
[21] 邹丽, 周锐, 赵世钰, 等. 多导弹编队齐射攻击分散化协同制导方法[J]. 航空学报201132(2): 281-290.
  ZOU L, ZHOU R, ZHAO S Y, et al. Decentralized cooperative guidance for multiple missile groups in salvo attack[J]. Acta Aeronautica et Astronautica Sinica201132(2): 281-290 (in Chinese).
[22] ZHAO J, ZHOU R, DONG Z N. Three-dimensional cooperative guidance laws against stationary and maneuvering targets[J]. Chinese Journal of Aeronautics201528(4): 1104-1120.
[23] WANG W, HU Y Y, BAI C C. Time coordination guidance law for underactuated high-speed vehicles[C]∥ 2024 IEEE International Conference on Unmanned Systems (ICUS). Piscataway: IEEE Press, 2024: 1763-1768.
[24] 张友安, 马国欣, 王兴平. 多导弹时间协同制导: 一种领弹-被领弹策略[J]. 航空学报200930(6): 1109-1118.
  ZHANG Y A, MA G X, WANG X P. Time-cooperative guidance for multi-missiles: A leader-follower strategy[J]. Acta Aeronautica et Astronautica Sinica200930(6): 1109-1118 (in Chinese).
[25] 张达, 刘克新, 李国飞. 多约束条件下的协同制导研究进展[J]. 南京信息工程大学学报(自然科学版)202012(5): 530-539.
  ZHANG D, LIU K X, LI G F. Recent advances of cooperative guidance under multiple constraints[J]. Journal of Nanjing University of Information Science & Technology (Natural Science Edition)202012(5): 530-539 (in Chinese).
[26] 张振林, 张科, 郭正玉, 等. 一种新型领从式多弹协同制导律设计[J]. 航空兵器202027(5): 33-38.
  ZHANG Z L, ZHANG K, GUO Z Y, et al. Design of a new guidance law for guided multiple missiles[J]. Aero Weaponry202027(5): 33-38 (in Chinese).
[27] 王天宁, 张世隆, 葛航. 考虑目标观测度的领从式协同制导研究[J]. 飞行力学202139(5): 56-62.
  WANG T N, ZHANG S L, GE H. Research of leader-follower cooperative guidance considering the target observability[J]. Flight Dynamics202139(5): 56-62 (in Chinese).
[28] 马泽远, 卢宝刚, 李墨吟, 等. 基于动态逆的多弹协同作战三维制导律研究[J]. 弹箭与制导学报202141(3): 43-47.
  MA Z Y, LU B G, LI M Y, et al. Research on three-dimensional guidance law for cooperative attack of multiple missiles based on dynamic inversion[J]. Journal of Projectiles, Rockets, Missiles and Guidance202141(3): 43-47 (in Chinese).
[29] ZHAO J B, CHEN Y D, LIANG X, et al. Cooperative guidance for seeker-less missile based on leader-follower framework[C]∥2021 IEEE International Conference on Unmanned Systems (ICUS). Piscataway: IEEE Press, 2021: 134-139.
[30] YUAN K S, TANG D G, PU Y H, et al. A collaborative guidance method based on state regulator for multiple missiles with a leader-follower architecture[C]∥ 2024 43rd Chinese Control Conference (CCC). Piscataway: IEEE Press, 2024: 4129-4135.
[31] TAN M H, SHEN H. Three-dimensional cooperative game guidance law for a leader–follower system with impact angles constraint[J]. IEEE Transactions on Aerospace and Electronic Systems202460(1): 405-420.
[32] 王晓芳, 洪鑫, 林海. 一种控制多弹协同攻击时间和攻击角度的方法[J]. 弹道学报201224(2): 1-5, 24.
  WANG X F, HONG X, LIN H. A method of controlling impact time and impact angle of multiple-missiles cooperative combat[J]. Journal of Ballistics201224(2): 1-5, 24 (in Chinese).
[33] ZHAO S Y, ZHOU R, WEI C, et al. Design of time-constrained guidance laws via virtual leader approach[J]. Chinese Journal of Aeronautics201023(1): 103-108.
[34] CHEN K, WANG S C, GUO Y, et al. Impact time control guidance law using virtual leader and dynamic inversion[C]∥2016 Chinese Control and Decision Conference (CCDC). Piscataway: IEEE Press, 2016: 1709-1714.
[35] 赵恩娇, 孙明玮. 多飞行器协同作战关键技术研究综述[J]. 战术导弹技术2020(4): 175-182.
  ZHAO E J, SUN M W. Review on the key technology of cooperative engagement for multiple flight vehicles[J]. Tactical Missile Technology2020(4): 175-182 (in Chinese).
[36] LI W, WEN Q Q, HE L, et al. Three-dimensional impact angle constrained distributed cooperative guidance law for anti-ship missiles[J]. Journal of Systems Engineering and Electronics202132(2): 447-459.
[37] ZHANG T T, YANG J Y. Cooperative guidance for simultaneous attack: A fully distributed, adaptive, and optimal approach[J]. International Journal of Control202093(8): 1765-1774.
[38] CHEN Y D, WANG J N, SHAN J Y, et al. Cooperative guidance for multiple powered missiles with constrained impact and bounded speed[J]. Journal of Guidance, Control, and Dynamics202144(4): 825-841.
[39] LI K, WANG J N, LEE C H, et al. Distributed cooperative guidance for multivehicle simultaneous arrival without numerical singularities[J]. Journal of Guidance, Control, and Dynamics202043(7): 1365-1373.
[40] 董晓飞, 任章, 池庆玺, 等. 有向拓扑条件下针对机动目标的分布式协同制导律设计[J]. 航空学报202041(S1): 723762.
  DONG X F, REN Z, CHI Q X, et al. Design of distributed cooperative guidance law for maneuvering targets under directed topology[J]. Acta Aeronautica et Astronautica Sinica202041(S1): 723762 (in Chinese).
[41] SONG L, ZHANG Y A, HUANG D, et al. Cooperative simultaneous attack of multi-missiles under unreliable and noisy communication network: a consensus scheme of impact time[J]. Aerospace Science and Technology201547: 31-41.
[42] WEI X, WANG Y J, DONG S, et al. A three-dimensional cooperative guidance law of multimissile system[J]. International Journal of Aerospace Engineering20152015(1): 479427.
[43] 金泽宇, 刘凯, 尹中杰, 等. 基于神经网络剩余时间模型的协同制导律设计[J]. 战术导弹技术2021(4): 103-109, 116.
  JIN Z Y, LIU K, YIN Z J, et al. Impact time cooperation guidance law design based on time-to-go estimating model using neural network[J]. Tactical Missile Technology2021(4): 103-109, 116 (in Chinese).
[44] 赵军民, 王荣刚, 李新国, 等. 基于落角和时间约束的巡飞弹末端协同打击策略[J]. 西北工业大学学报202442(3): 386-395.
  ZHAO J M, WANG R G, LI X G, et al. Cooperative attack strategy during the terminal guidance phase for loitering munitions based on impact angle and impact time constraints[J]. Journal of Northwestern Polytechnical University202442(3): 386-395 (in Chinese).
[45] 尤浩, 常新龙, 赵久奋, 等. 带攻击角度约束的三维领弹-从弹时间协同制导律[J]. 兵工学报202344(11): 3369-3381.
  YOU H, CHANG X L, ZHAO J F, et al. Three-dimensional leader-follower cooperative guidance law with impact angle constraints[J]. Acta Armamentarii202344(11): 3369-3381 (in Chinese).
[46] SINHA A, KUMAR S R. Supertwisting control-based cooperative salvo guidance using leader-follower approach[J]. IEEE Transactions on Aerospace and Electronic Systems202056(5): 3556-3565.
[47] ZHANG S, GUO Y, LIU Z G, et al. Finite-time cooperative guidance strategy for impact angle and time control[J]. IEEE Transactions on Aerospace and Electronic Systems202157(2): 806-819.
[48] WANG X, CAI Y L, DENG Y F, et al. Predefined-time spatial-temporal cooperative guidance law with leader-follower strategy[J]. IEEE Transactions on Aerospace and Electronic Systems (2024-12-30) [2025-07-21]. .
[49] LI G F, TANG Q P, ZUO Z Y, et al. Resilient cooperative guidance for leader-follower flight vehicles against maneuvering target[J]. IEEE Transactions on Aerospace and Electronic Systems (2025-01-08)[2025-07-21]. .
[50] 赵启伦, 陈建, 董希旺, 等. 拦截高超声速目标的异类导弹协同制导律[J]. 航空学报201637(3): 936-948.
  ZHAO Q L, CHEN J, DONG X W, et al. Cooperative guidance law for heterogeneous missiles intercepting hypersonic weapon[J]. Acta Aeronautica et Astronautica Sinica201637(3): 936-948 (in Chinese).
[51] 商玮宸, 马翔, 郑技平, 等. 抗通信时延的分布式固定时间收敛协同制导律[J]. 国防科技大学学报202446(3): 158-166.
  SHANG W C, MA X, ZHENG J P, et al. Distributed fixed-time convergence cooperative guidance law against communication delay[J]. Journal of National University of Defense Technology202446(3): 158-166 (in Chinese).
[52] WANG Z K, FU Z M, WU Z H, et al. Three-dimensional cooperative guidance law against maneuvering target with time-varying communication delays[J]. International Journal of Aeronautical and Space Sciences202425(2): 605-621.
[53] 李国飞, 朱国梁, 吕金虎, 等. 主-从多飞行器三维分布式协同制导方法[J]. 航空学报202142(11): 524926.
  LI G F, ZHU G L, LYU J H, et al. Three-dimensional distributed cooperative guidance law for multiple leader-follower flight vehicles[J]. Acta Aeronautica et Astronautica Sinica202142(11): 524926 (in Chinese).
[54] 林德福, 何绍溟, 王江, 等. 基于虚拟领弹-从弹的集群分布式协同制导技术研究[J]. 中国科学: 技术科学202050(5): 506-515.
  LIN D F, HE S M, WANG J, et al. On virtual leader-follower-based distributed cooperative swarm guidance strategy[J]. Scientia Sinica (Technologica)202050(5): 506-515 (in Chinese).
[55] CONG M Y, CHENG X H, ZHAO Z Q, et al. Studies on multi-constraints cooperative guidance method based on distributed MPC for multi-missiles[J]. Applied Sciences202111(22): 10857.
[56] 孙雪娇, 周锐, 吴江, 等. 多导弹分布式协同制导与控制方法[J]. 北京航空航天大学学报201440(1): 120-124.
  SUN X J, ZHOU R, WU J, et al. Distributed cooperative guidance and control for multiple missiles[J]. Journal of Beijing University of Aeronautics and Astronautics201440(1): 120-124 (in Chinese).
[57] 后德龙, 陈彬, 王青, 等. 碰撞自规避多弹分布式协同制导与控制[J]. 控制理论与应用201431(9): 1133-1142.
  HOU D L, CHEN B, WANG Q, et al. Collision avoidance multi-missile distributed cooperative guidance and control[J]. Control Theory & Applications201431(9): 1133-1142 (in Chinese).
[58] 刘翔. 临近空间多拦截弹协同制导控制设计研究[D]. 西安: 西北工业大学, 2019: 1-9.
  LIU X. Research on cooperative guidance and control design for multiple-interceptor in near space[D]. Xi’an: Northwestern Polytechnical University, 2019: 1-9. (in Chinese).
[59] JEON I S, LEE J I, TAHK M J. Impact-time-control guidance law for anti-ship missiles[J]. IEEE Transactions on Control Systems Technology200614(2): 260-266.
[60] 刘子超, 王江, 王鹏, 等. 时间约束多导弹协同制导律[J]. 航空学报202445(S1): 730607.
  LIU Z C, WANG J, WANG P, et al. Time-constrained multi-missile cooperative guidance law[J]. Acta Aeronautica et Astronautica Sinica202445(S1): 730607 (in Chinese).
[61] XU Q Q, GE J Q, YANG T. Multiple missiles cooperative guidance based on proportional navigation guidance[C]∥2020 Chinese Control and Decision Conference (CCDC). Piscataway: IEEE Press, 2020: 4423-4430.
[62] JIANG Z Y, GE J Q, XU Q Q, et al. Impact time control cooperative guidance law design based on modified proportional navigation[J]. Aerospace20218(8): 231.
[63] CHEN Y D, WANG J N, WANG C Y, et al. A modified cooperative proportional navigation guidance law[J]. Journal of the Franklin Institute2019356(11): 5692-5705.
[64] YU J L, SHI Z X, DONG X W, et al. Impact time consensus cooperative guidance against the maneuvering target: theory and experiment[J]. IEEE Transactions on Aerospace and Electronic Systems202359(4): 4590-4603.
[65] WANG C Y, DING X J, WANG J N, et al. A robust three-dimensional cooperative guidance law against maneuvering target[J]. Journal of the Franklin Institute2020357(10): 5735-5752.
[66] 马萌晨, 宋申民. 拦截机动目标的多导弹协同制导律[J]. 航空兵器202128(6): 19-27.
  MA M C, SONG S M. Multi-missile cooperative guidance law for intercepting maneuvering target[J]. Aero Weaponry202128(6): 19-27 (in Chinese).
[67] 李晓静, 马建伟, 高计委. 基于固定时间一致的攻击时间协同制导律[J]. 电光与控制202330(6): 30-35.
  LI X J, MA J W, GAO J W. Attack time cooperative guidance law based on fixed time consensus[J]. Electronics Optics & Control202330(6): 30-35 (in Chinese).
[68] SINHA A, KUMAR S R. Super-twisting control based impact time constrained guidance[C]∥AIAA Scitech 2020 Forum. Reston: AIAA, 2020: 0610.
[69] 王金强, 刘玉祥, 任韦, 等. 拦截机动目标的自适应Super-Twisting协同制导律[J]. 飞行力学202240(2): 74-80.
  WANG J Q, LIU Y X, REN W, et al. Adaptive Super-Twisting cooperative guidance law for intercepting maneuvering target[J]. Flight Dynamics202240(2): 74-80 (in Chinese).
[70] LI G F, WU Y J, XU P Y. Fixed-time cooperative guidance law with input delay for simultaneous arrival[J]. International Journal of Control202194(6): 1664-1673.
[71] GU Z Z, WANG X G, WANG Z Y. Cooperative guidance law design for multiple-vehicle under distributed event-triggered mechanism[J]. Journal of Physics: Conference Series20242891(13): 132027.
[72] KIM M, GRIDER K. Terminal guidance for impact attitude angle constrained flight trajectories[J]. IEEE Transactions on Aerospace and Electronic Systems1973, AES-9(6): 852-859.
[73] LEE J I, JEON I S, TAHK M J. Guidance law to control impact time and angle[J]. IEEE Transactions on Aerospace and Electronic Systems200743(1): 301-310.
[74] 花文涛, 刘沛文, 贾晓洪, 等. 一种多弹协同制导策略[J]. 兵器装备工程学报202142(2): 180-183, 228.
  HUA W T, LIU P W, JIA X H, et al. Multi-missile cooperative attacking strategy[J]. Journal of Sichuan Ordnance202142(2): 180-183, 228 (in Chinese).
[75] 李东旭, 王晓芳, 林海. 多高超声速导弹协同末制导律及可行初始位置域研究[J]. 弹道学报201931(4): 1-7.
  LI D X, WANG X F, LIN H. Research on cooperative terminal guidance law and feasible initial position domain for multi-hypersonic missiles[J]. Journal of Ballistics201931(4): 1-7 (in Chinese).
[76] CHEN X T, WANG J Z. Optimal control based guidance law to control both impact time and impact angle[J]. Aerospace Science and Technology201984: 454-463.
[77] TAO H, LIN D F, SONG T, et al. Optimal spatial-temporal cooperative guidance against a maneuvering target[J]. Journal of the Franklin Institute2023360(13): 9886-9903.
[78] 吕腾, 吕跃勇, 李传江, 等. 带视线角约束的多导弹有限时间协同制导律[J]. 兵工学报201839(2): 305-314.
  LYU T, LYU Y Y, LI C J, et al. Finite time cooperative guidance law for multiple missiles with line-of-sight angle constraint[J]. Acta Armamentarii201839(2): 305-314 (in Chinese).
[79] 赵久奋, 史绍琨, 崇阳, 等. 带落角约束的多导弹分布式协同制导律[J]. 中国惯性技术学报201826(4): 546-553.
  ZHAO J F, SHI S K, CHONG Y, et al. Distributed cooperative guidance law for multiple missiles with impact angle constraint[J]. Journal of Chinese Inertial Technology201826(4): 546-553 (in Chinese).
[80] CHEN Z Y, CHEN W C, LIU X M, et al. Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint[J]. Aerospace Science and Technology2021110: 106523.
[81] 王雨辰, 王伟, 林时尧, 等. 考虑攻击时间及空间角度约束的三维自适应滑模协同制导律设计[J]. 兵工学报202344(9): 2778-2790.
  WANG Y C, WANG W, LIN S Y, et al. Three-dimensional adaptive sliding mode cooperative guidance law with impact time and angle constraints[J]. Acta Armamentarii202344(9): 2778-2790 (in Chinese).
[82] DONG W, WANG C Y, WANG J N, et al. Fixed-time terminal angle-constrained cooperative guidance law against maneuvering target[J]. IEEE Transactions on Aerospace and Electronic Systems202258(2): 1352-1366.
[83] 李鹤宇, 王建斌, 张锐, 等. 针对机动目标的航天器固定时间协同制导律[J/OL]. 控制理论与应用2024: 1-9. (2024-09-02)[2025-07-21]. .
  LI H Y, WANG J B, ZHANG R, et al. Fixed time convergence spacecraft cooperative guidance law for maneuvering target[J/OL]. Control Theory & Applications2024: 1-9. (2024-09-02)[2025-07-21]. .
[84] ZHANG D Y, YU H, DAI K R, et al. Three-dimensional event-triggered predefined-time cooperative guidance law[J]. Aerospace202411(12): 999.
[85] 池海红, 丁栖航, 张国良. 预定时间多导弹三维协同制导律[J]. 宇航学报202344(8): 1238-1250.
  CHI H H, DING X H, ZHANG G L. Three-dimensional cooperative guidance law for multiple missiles with predefined-time convergence[J]. Journal of Astronautics202344(8): 1238-1250 (in Chinese).
[86] LIU S X, YAN B B, ZHANG T, et al. Three-dimensional coverage-based cooperative guidance law with overload constraints to intercept a hypersonic vehicle[J]. Aerospace Science and Technology2022130: 107908.
[87] LEE Y I, RYOO C K, KIM E. Optimal guidance with constraints on impact angle and terminal acceleration[C]∥AIAA Guidance, Navigation, and Control Conference and Exhibit. Reston: AIAA, 2003: 5795.
[88] SHI P F, YU J L, DONG X W, et al. Distributed adaptive cooperative guidance against maneuvering targets with time-varying terminal angle constraint and overload saturation[J]. Journal of the Franklin Institute2023360(16): 11507-11528.
[89] WANG Z K, FANG Y W, FU W X, et al. Prescribed-time cooperative guidance law against manoeuvring target with input saturation[J]. International Journal of Control202396(5): 1177-1189.
[90] RAMANA M V, KOTHARI M. Pursuit strategy to capture high-speed evaders using multiple pursuers[J]. Journal of Guidance, Control, and Dynamics201640(1): 139-149.
[91] SU W S, SHIN H S, CHEN L, et al. Cooperative interception strategy for multiple inferior missiles against one highly maneuvering target[J]. Aerospace Science and Technology201880: 91-100.
[92] SU W S, LI K B, CHEN L. Coverage-based three-dimensional cooperative guidance strategy against highly maneuvering target[J]. Aerospace Science and Technology201985: 556-566.
[93] 肖惟, 于江龙, 董希旺, 等. 过载约束下的大机动目标协同拦截[J]. 航空学报202041(S1): 723777.
  XIAO W, YU J L, DONG X W, et al. Cooperative interception against highly maneuvering tar-get with acceleration constraints[J]. Acta Aeronautica et Astronautica Sinica202041(S1): 723777 (in Chinese).
[94] CHEN Z Y, YU J L, DONG X W, et al. Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target[J]. Chinese Journal of Aeronautics202134(5): 485-495.
[95] 江涌, 王林波, 王蒙一. 基于覆盖理论的高速强机动目标集群协同围捕[J]. 自动化学报202551(5): 917-930.
  JIANG Y, WANG L B, WANG M Y. Coverage-based cluster cooperative encirclement of high-speed and highly maneuverable targets[J]. Acta Automatica Sinica202551(5): 917-930 (in Chinese).
[96] 江涌, 王林波, 王蒙一, 等. 基于覆盖理论的高速强机动目标协同围捕策略[J]. 工程科学学报202446(7): 1169-1178.
  JIANG Y, WANG L B, WANG M Y, et al. Coverage-based cooperative encirclement strategy against high-speed and highly maneuvering targets[J]. Chinese Journal of Engineering202446(7): 1169-1178 (in Chinese).
[97] ZHANG B L, ZHOU D, LI J L, et al. Coverage-based cooperative guidance strategy by controlling flight path angle[J]. Journal of Guidance, Control, and Dynamics202245(5): 972-981.
[98] 何智川, 王江, 范世鹏, 等. 事件触发机制下具有视场约束的三维协同制导[J]. 航空学报202445(3): 328687.
  HE Z C, WANG J, FAN S P, et al. Three-dimensional cooperative guidance with field-of-view constraints based on event-triggered mechanism[J]. Acta Aeronautica et Astronautica Sinica202445(3): 328687 (in Chinese).
[99] WANG J N, ZHANG H F, DONG W, et al. Nonsingular distributed cooperative guidance law withField-of-view limits[C]∥Advances in Guidance, Navigation and Control. Singapore: Springer, 2023: 5629-5638.
[100] ZHANG D, LIU G X, LIU K X. Prescribed impact time cooperative guidance law with seeker’s field of view constraint[C]∥2022 34th Chinese Control and Decision Conference (CCDC). Piscataway: IEEE Press, 2022: 376-381.
[101] CHEN Y D, WANG J N, WANG C Y, et al. Three-dimensional cooperative homing guidance law with field-of-view constraint[J]. Journal of Guidance, Control, and Dynamics201943(2): 389-397.
[102] AI X L, WANG L L, YU J Q, et al. Field-of-view constrained two-stage guidance law design for three-dimensional salvo attack of multiple missiles via an optimal control approach[J]. Aerospace Science and Technology201985: 334-346.
[103] YANG X Y, ZHANG Y C, SONG S M. Two-stage cooperative guidance strategy with impact-angle and field-of-view constraints[J]. Journal of Guidance, Control, and Dynamics202246(3): 590-599.
[104] TANG J C, ZUO Z Y. Control-barrier-function-based cooperative guidance with nonuniform field of view and input constraints[J]. Journal of Guidance, Control, and Dynamics202447(11): 2444-2452.
[105] MUKHERJEE D, KUMAR S R. Field-of-view constrained impact time guidance against stationary targets[J]. IEEE Transactions on Aerospace and Electronic Systems202157(5): 3296-3306.
[106] 黄晓阳, 赵斌, 周军. 变体飞行器视场约束协同制导方法[J]. 兵器装备工程学报202344(10): 112-119.
  HUANG X Y, ZHAO B, ZHOU J. Variant flight vehicle field-of-view constrained cooperative guidance law[J]. Journal of Ordnance Equipment Engineering202344(10): 112-119 (in Chinese).
[107] HUANG X Y, ZHAO B, ZHOU J, et al. Integrated cooperative guidance and control of strapdown missiles[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering2025239(6): 528-556.
[108] LI W, ZHAO Q L, SHANG T, et al. Cooperative guidance with collision avoidance based on artificial potential field method[C]∥2024 43rd Chinese Control Conference (CCC). Piscataway: IEEE Press, 2024: 4006-4011.
[109] 杨知沐, 张绍杰, 张朝原, 等. 基于微分博弈的导弹避撞协同制导律设计[J]. 系统工程与电子技术202547(8): 2667-2675.
  YANG Z M, ZHANG S J, ZHANG C Y, et al. Design of missile anti-collision cooperative guidance law based on differential game[J]. Systems Engineering and Electronics202547(8): 2667-2675 (in Chinese).
[110] YU J L, SHI Z X, DONG X W, et al. Secure cooperative guidance strategy for multimissile system with collision avoidance[J]. IEEE Transactions on Aerospace and Electronic Systems202561(1): 1034-1047.
[111] JHA B, TSALIK R, WEISS M, et al. Cooperative guidance and collision avoidance for multiple pursuers[J]. Journal of Guidance, Control, and Dynamics201942(7): 1506-1518.
[112] CHEN S, MA D Y, YAO Y H, et al. Cooperative polynomial guidance law with collision avoidance and flight path angle coordination[J]. Aerospace Science and Technology2022130: 107809.
[113] LI G F, Lü J H, ZHU G L, et al. Distributed observer-based cooperative guidance with appointed impact time and collision avoidance[J]. Journal of the Franklin Institute2021358(14): 6976-6993.
[114] WU Y J, AN X M, HUA Y Y, et al. Prescribed-time cooperative guidance law with seeker-less followers against multiple targets[J]. ISA Transactions2025164: 75-90.
[115] TAN M H, SHEN H. The differential game cooperative guidance law for the single target[C]∥Advances in Guidance, Navigation and Control. Singapore: Springer, 2023: 1924-1932.
[116] 孙启龙, 齐乃明, 赵钧, 等. 攻击主动防御飞行器的微分对策制导律[J]. 国防科技大学学报201840(3): 7-14.
  SUN Q L, QI N M, ZHAO J, et al. Differential game guidance laws against active defense aircraft[J]. Journal of National University of Defense Technology201840(3): 7-14 (in Chinese).
[117] 胡艳艳, 张莉, 夏辉, 等. 不完全信息下基于微分对策的机动目标协同捕获[J]. 航空学报202243(S1): 726905.
  HU Y Y, ZHANG L, XIA H, et al. Cooperative capture of maneuvering targets with incom-plete information based on differential game[J]. Acta Aeronautica et Astronautica Sinica202243(S1): 726905 (in Chinese).
[118] 郭志强, 周绍磊. 多弹协同微分对策制导律研究[J]. 兵器装备工程学报201940(5): 21-25.
  GUO Z Q, ZHOU S L. Research on cooperative differential game guidance law for multi-missile[J]. Journal of Ordnance Equipment Engineering201940(5): 21-25 (in Chinese).
[119] SHAFERMAN V, SHIMA T. Cooperative differential games guidance laws for imposing a relative intercept angle[J]. Journal of Guidance, Control, and Dynamics201740(10): 2465-2480.
[120] KANG Y R, YU J L, DONG X W, et al. Cooperative differential games guidance laws forMultiple missiles against anActive defense target withMultiple defenders[C]∥Advances in Guidance, Navigation and Control. Singapore: Springer, 2023: 4601-4610.
[121] BARDHAN R, GHOSE D. Nonlinear differential games-based impact-angle-constrained guidance law[J]. Journal of Guidance, Control, and Dynamics201538(3): 384-402.
[122] 于江龙, 董希旺, 李清东, 等. 基于微分对策的拦截机动目标协同制导方法[J]. 指挥与控制学报20206(3): 217-222.
  YU J L, DONG X W, LI Q D, et al. Cooperative differential game guidance method for intercepting maneuvering target[J]. Journal of Command and Control20206(3): 217-222 (in Chinese).
[123] LIU F, DONG X W, LI Q D, et al. Cooperative differential games guidance laws for multiple attackers against an active defense target[J]. Chinese Journal of Aeronautics202235(5): 374-389.
[124] CHEN W X, HU Y D, GAO C S, et al. Luring cooperative capture guidance strategy for the pursuit: evasion game under incomplete target information[J]. Astrodynamics20248(4): 675-688.
[125] 袁桐生, 罗雪娇, 刘鑫宇, 等. 无人作战系统跨域协同发展与应用浅析[C]∥第十三届中国指挥控制大会论文集(下册). 2025: 152-157.
  YUAN T S, LUO X J, LIU X Y, et al. A breif analysis of cross-domain collaborative development and application of unmanned combat system[C]∥The 13th China conference on command and control. Beijing: The Publishing House of Ordnance Industry, 2025: 152-157 (in Chinese).
[126] LI G F, ZHONG Q L, ZUO Z Y, et al. Performance prescribed cooperative guidance against maneuvering target under malicious attacks[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202454(12): 7770-7782.
[127] AN X M, WU Y J, LI G F, et al. Adaptive cooperative guidance with resilience to communication link faults[J]. Journal of the Franklin Institute2025362(6): 107577.
[128] KONG X R, ZHOU Y T, LI Z, et al. Multi-UAV simultaneous target assignment and path planning based on deep reinforcement learning in dynamic multiple obstacles environments[J]. Frontiers in Neurorobotics202317: 1302898.
[129] 董希旺, 于江龙, 化永朝, 等. 集群系统智能协同IOODA技术体系架构与关键技术[J]. 航空学报202546(4): 030911.
  DONG X W, YU J L, HUA Y Z, et al. Architecture and key technologies of intelligent cooperative IOODA technology system for swarm systems[J]. Acta Aeronautica et Astronautica Sinica202546(4): 030911 (in Chinese).
[130] 魏政, 杜勇, 刘辉, 等. 多模复合制导技术的发展现状与分析[J]. 航空兵器202229(6): 26-33.
  WEI Z, DU Y, LIU H, et al. Development status and analysis of multi-mode compo-site guidance technology [J]. Aero Weaponry202229(6): 26-33 (in Chinese).
[131] 刘书信, 吴辉, 王代华, 等. 数据驱动的多模复合制导信息融合及其试验验证[J]. 光学 精密工程202533(4): 512-520.
  LIU S X, WU H, WANG D H, et al. Multimode composite guidance data fusion method and its experimental validation[J]. Optics and Precision Engineering202533(4): 512-520 (in Chinese).
[132] ZHAO S Y, LIU S X, WANG D H, et al. Multi-mode composite guidance data fusion algorithm based on optimized convex combination theory[C]∥Proceedings of 2023 7th Chinese Conference on Swarm Intelligence and Cooperative Control. Singapore: Springer, 2024: 37-51.
[133] 王龙飞, 袁冉慧, 韦邦国, 等. 飞行器自主集群时间校准算法[J]. 上海航天(中英文)202542(1): 180-185.
  WANG L F, YUAN R H, WEI B G, et al. Autonomous cluster time calibration algorithm for aircrafts[J]. Aerospace Shanghai (Chinese & English)202542(1): 180-185 (in Chinese).
[134] JIN X, KE S, AN J P, et al. A novel consensus-based distributed time synchronization algorithm in high-dynamic multi-UAV networks[J]. IEEE Transactions on Wireless Communications202423(12): 18916-18928.
[135] 王蒙一, 王晓东, 宋勋, 等. 无人飞行器集群智能与协同控制[M]. 北京: 科学出版社, 2024: 71-84.
  WANG M Y, WANG X D, SONG X. Intelligent and cooperative control of unmanned aerial vehicle swarms [M]. Beijing: Science Press, 2024: 71-84 (in Chinese).
[136] 陈中原, 韦文书, 陈万春. 基于强化学习的多发导弹协同攻击智能制导律[J]. 兵工学报202142(8): 1638-1647.
  CHEN Z Y, WEI W S, CHEN W C. Reinforcement learning-based intelligent guidance law for cooperative attack of multiple missiles[J]. Acta Armamentarii202142(8): 1638-1647 (in Chinese).
[137] GU Z, ZHANG Z Q, KANG H L, et al. Reinforcement learning-based three-dimensional cooperative guidance law[C]∥2024 3rd Conference on Fully Actuated System Theory and Applications (FASTA). Piscataway: IEEE Press, 2024: 1418-1423.
[138] WANG N Y, WANG X G, CUI N G, et al. Deep reinforcement learning-based impact time control guidance law with constraints on the field-of-view[J]. Aerospace Science and Technology2022128: 107765.
[139] LI C X, CHENG H Y, WANG J R, et al. Multi-missile cooperative guidance law based on deep reinforcement learning[C]∥Proceedings of 3rd 2023 International Conference on Autonomous Unmanned Systems (3rd ICAUS 2023). Singapore: Springer, 2024: 370-379.
[140] 王存灿, 王晓芳, 林海. 一种元学习和强化学习结合的多飞行器协同制导律[J]. 兵工学报202546(7): 201-215.
  WANG C C, WANG X F, LIN H. A cooperative guidance law based on meta-learning and reinforcement learning for multiple aerial vehicles[J]. Acta Armamentarii202546(7): 201-215 (in Chinese).
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