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飞行器集群协同制导新进展

吕金虎 于江龙 董希旺

吕金虎, 于江龙, 董希旺. 飞行器集群协同制导新进展. 自动化学报, 2025, 51(4): 1−17 doi: 10.16383/j.aas.c240499
引用本文: 吕金虎, 于江龙, 董希旺. 飞行器集群协同制导新进展. 自动化学报, 2025, 51(4): 1−17 doi: 10.16383/j.aas.c240499
Lv Jin-Hu, Yu Jiang-Long, Dong Xi-Wang. New progress in cooperative guidance for aircraft swarm system. Acta Automatica Sinica, 2025, 51(4): 1−17 doi: 10.16383/j.aas.c240499
Citation: Lv Jin-Hu, Yu Jiang-Long, Dong Xi-Wang. New progress in cooperative guidance for aircraft swarm system. Acta Automatica Sinica, 2025, 51(4): 1−17 doi: 10.16383/j.aas.c240499

飞行器集群协同制导新进展

doi: 10.16383/j.aas.c240499 cstr: 32138.14.j.aas.c240499
基金项目: 国家自然科学基金(62141604, U2241217, 62103016, 62473029)资助
详细信息
    作者简介:

    吕金虎:北京航空航天大学教授. 主要研究方向为复杂系统, 协同制导控制, 工业互联网, 大数据. 本文通信作者.E-mail: lvjinhu@buaa.edu.cn

    于江龙:北京航空航天大学副教授. 主要研究方向为飞行器集群, 协同制导. E-mail: sdjxyjl@buaa.edu.cn

    董希旺:北京航空航天大学教授. 主要研究方向为集群智能, 协同控制, 协同制导.E-mail: xwdong@buaa.edu.cn

New Progress in Cooperative Guidance for Aircraft Swarm System

Funds: Supported by National Natural Science Foundation of China (62141604, U2241217, 62103016, 62473029)
More Information
    Author Bio:

    LV Jin-Hu Professor at Beihang University. His research interest covers complex networks, cooperative guidance and control, industrial internet, and big data

    YU Jiang-Long Associate professor at Beihang University. His research interest covers aircraft swarm system and cooperative guidance

    DONG Xi-Wang Professor at Beihang University. His research interest covers swarm intelligence, cooperative control, and cooperative guidance

  • 摘要: 协同制导是飞行器集群遂行协同任务中最关键的环节之一, 也是飞行器制导控制领域近年来最重要的研究方向之一. 协同制导经历了从简单约束到复杂约束、单一任务到复杂任务的发展过程. 首先, 从协同制导的发展历程和任务级别角度进行分类, 将现有协同制导方法概括为打击时间/角度约束下的协同制导、编队构型约束下的协同制导、角色和任务互补下的协同制导、博弈对抗条件下的协同制导等四类协同制导方法; 其次, 总结国内外学者对相关领域理论成果的最新进展, 从研究方法层面综述相关成果的优缺点和适用范围; 最后, 对协同制导领域的技术挑战与难点进行深入分析, 并对协同制导技术的未来发展进行前瞻性展望.
  • 图  1  飞行器集群协同制导发展历程

    Fig.  1  Development of aircraft cluster cooperative guidance

    图  2  终端时空约束下的飞行器集群协同制导方法

    Fig.  2  Cooperative guidance method for vehicle clusters under terminal spatio-temporal constraints

    图  3  编队构型约束下的飞行器集群编队协同制导方法

    Fig.  3  A cooperative guidance method for vehicle cluster formation under formation configuration constraints

    图  4  角色和任务互补的飞行器集群协同制导方法

    Fig.  4  Role- and mission-complementary approach to cooperative guidance of clusters of vehicles

    图  5  对抗条件下的飞行器集群协同博弈制导方法

    Fig.  5  A cooperative game guidance method for clusters of vehicles under adversarial conditions

  • [1] Lv J H, Chen G R. A new chaotic attractor coined. International Journal of Bifurcation and Chaos, 2002, 12(3): 659−661 doi: 10.1142/S0218127402004620
    [2] Yu W W, Chen G R, Lv J H. On pinning synchronization of complex dynamical networks. Automatica, 2009, 45(2): 429−435 doi: 10.1016/j.automatica.2008.07.016
    [3] Lv J H, Chen G R. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Transactions on Automatic Control, 2005, 50(6): 841−846 doi: 10.1109/TAC.2005.849233
    [4] Zhou J, Lu J A, Lv J H. Adaptive synchronization of an uncertain complex dynamical network. IEEE Transactions on Automatic Control, 2006, 51(4): 652−656 doi: 10.1109/TAC.2006.872760
    [5] 向锦武, 董希旺, 丁文锐, 索津莉, 沈林成, 夏辉. 复杂环境下无人集群系统自主协同关键技术. 航空学报, 2022, 43(10): Article No. 527570

    Xiang Jin-Wu, Dong Xi-Wang, Ding Wen-Rui, Suo Jin-Li, Shen Lin-Cheng, Xia Hui. Key technologies for autonomous cooperation of unmanned swarm systems in complex environments. Acta Aeronautica et Astronautica Sinica, 2022, 43(10): Article No. 527570
    [6] Jeon I S, Lee J I, Tahk M J. Impact-time-control guidance law for anti-ship missiles. IEEE Transactions on Control Systems Technology, 2006, 14(2): 260−266 doi: 10.1109/TCST.2005.863655
    [7] 赵斌, 梁乐成, 蒋瑞民, 周军. 终端角度约束制导及制导控制一体化方法综述. 宇航学报, 2022, 43(5): 563−579

    Zhao Bin, Liang Le-Cheng, Jiang Rui-Min, Zhou Jun. Review of guidance and integrated guidance and control methods under terminal angle constraints. Journal of Astronautics, 2022, 43(5): 563−579
    [8] 温广辉, 周佳玲, 吕跃祖, 刘照辉, 吕金虎. 多导弹协同作战中的分布式协调控制问题. 指挥与控制学报, 2021, 7(2): 137−145 doi: 10.3969/j.issn.2096-0204.2021.02.0137

    Wen Guang-Hui, Zhou Jia-Ling, Lv Yue-Zu, Liu Zhao-Hui, Lv Jin-Hu. Distributed coordination control in multi-missile cooperative tasks. Journal of Command and Control, 2021, 7(2): 137−145 doi: 10.3969/j.issn.2096-0204.2021.02.0137
    [9] 赵建博, 杨树兴. 多导弹协同制导研究综述. 航空学报, 2017, 38(1): Article No. 020256

    Zhao Jian-Bo, Yang Shu-Xing. Review of multi-missile cooperative guidance. Acta Aeronautica et Astronautica Sinica, 2017, 38(1): Article No. 020256
    [10] Zhou J L, Wu X J, Lv Y Z, Li X D, Liu Z H. Recent progress on the study of multi-vehicle coordination in cooperative attack and defense: An overview. Asian Journal of Control, 2022, 24(2): 794−809 doi: 10.1002/asjc.2685
    [11] 唐钟南, 辛宏博, 王玉杰, 陈清阳, 王鹏, 杨希祥. 基于协调变量的多机协同打击制导方法与试验验证. 工程科学学报, 2022, 44(8): 1396−1405

    Tang Zhong-Nan, Xin Hong-Bo, Wang Yu-Jie, Chen Qing-Yang, Wang Peng, Yang Xi-Xiang. Coordinated variable-based guidance method and experimental verification for multi-UAVs. Chinese Journal of Engineering, 2022, 44(8): 1396−1405
    [12] 魏明英, 崔正达, 李运迁. 多弹协同拦截综述与展望. 航空学报, 2020, 41(S1): Article No. 723804

    Wei Ming-Ying, Cui Zheng-Da, Li Yun-Qian. Review and future development of multi-missile coordinated interception. Acta Aeronautica et Astronautica Sinica, 2020, 41(S1): Article No. 723804
    [13] Jeon I S, Lee J I, Tahk M J. Impact-time-control guidance law for anti-ship missiles. IEEE Transactions on Control Systems Technology, 2006, 14(2): 260−266 doi: 10.1109/TCST.2005.863655
    [14] Zhou J L, Yang J Y. Distributed guidance law design for cooperative simultaneous attacks with multiple missiles. Journal of Guidance, Control, and Dynamics, 2016, 39(10): 2439−2447 doi: 10.2514/1.G001609
    [15] 赵世钰, 周锐. 基于协调变量的多导弹协同制导. 航空学报, 2008, 29(6): 1605−1611

    Zhao Shi-Yu, Zhou Rui. Multi-missile cooperative guidance using coordination variables. Acta Aeronautica et Astronautica Sinica, 2008, 29(6): 1605−1611
    [16] Tang J C, Zuo Z Y. Cooperative circular guidance of multiple missiles: A practical prescribed-time consensus approach. Journal of Guidance, Control, and Dynamics, 2023, 46(9): 1799−1813 doi: 10.2514/1.G007431
    [17] Wang P Y, Guo Y N, Ma G F, Lee C H, Wie B. New look-angle tracking guidance strategy for impact time and angle control. Journal of Guidance, Control, and Dynamics, 2022, 45(3): 545−557 doi: 10.2514/1.G006229
    [18] 李斌, 林德福, 何绍溟, 白冰. 基于最优误差动力学的时间角度控制制导律. 航空学报, 2018, 39(11): Article No. 322215

    Li Bin, Lin De-Fu, He Shao-Ming, Bai Bing. Time and angle control guidance law based on optimal error dynamics. Acta Aeronautica et Astronautica Sinica, 2018, 39(11): Article No. 322215
    [19] Zhao Q L, Dong X W, Liang Z X, Bai C, Chen J, Ren Z. Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies. Chinese Journal of Aeronautics, 2017, 30(4): 1570−1581 doi: 10.1016/j.cja.2017.06.009
    [20] Kumar S R, Mukherjee D. Cooperative salvo guidance using finite-time consensus over directed cycles. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(2): 1504−1514 doi: 10.1109/TAES.2019.2934675
    [21] Kang S, Wang J N, Li G, Shan J Y, Petersen I R. Optimal cooperative guidance law for salvo attack: An MPC-based consensus perspective. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(5): 2397−2410 doi: 10.1109/TAES.2018.2816880
    [22] Erer K S, Tekin R. Impact time and angle control based on constrained optimal solutions. Journal of Guidance, Control, and Dynamics, 2016, 39(10): 2448−2454 doi: 10.2514/1.G000414
    [23] Kang S, Wang J N, Li G, Shan J Y, Petersen I R. Optimal cooperative guidance law for salvo attack: An MPC-based consensus perspective. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(5): 2397−2410 doi: 10.1109/TAES.2018.2816880
    [24] 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. 兵工学报, 2021, 42(8): 1638−1647 doi: 10.3969/j.issn.1000-1093.2021.08.008

    Chen Zhong-Yuan, Wei Wen-Shu, Chen Wan-Chun. Reinforcement learning-based intelligent guidance law for cooperative attack of multiple missiles. Acta Armamentarii, 2021, 42(8): 1638−1647 doi: 10.3969/j.issn.1000-1093.2021.08.008
    [25] 金泽宇, 刘凯, 尹中杰, 王龙. 基于神经网络剩余时间模型的协同制导律设计. 战术导弹技术, 2021(4): 103−109

    Jin Ze-Yu, Liu Kai, Yin Zhong-Jie, Wang Long. Impact time cooperation guidance law design based on time-to-go estimating model using neural network. Tactical Missile Technology, 2021(4): 103−109
    [26] Kim B S, Lee J G, Han H S. Biased PNG law for impact with angular constraint. IEEE Transactions on Aerospace and Electronic Systems, 1998, 34(1): 277−288 doi: 10.1109/7.640285
    [27] 张保峰. 带攻击角度约束的多导弹协同导引律设计 [硕士学位论文], 哈尔滨工业大学, 中国, 2013.

    Zhang Bao-Feng. Design of Multi-missile Cooperative Guidance Law With Attack Angle Constraint [Master thesis], Harbin Institute of Technology, China, 2013.
    [28] Jiang H, An Z, Yu Y N, Chen S S, Xiong F F. Cooperative guidance with multiple constraints using convex optimization. Aerospace Science and Technology, 2018, 79: 426−440 doi: 10.1016/j.ast.2018.06.001
    [29] 刘子超, 王江, 何绍溟, 李宇飞. 基于预测校正的落角约束计算制导方法. 航空学报, 2022, 43(8): Article No. 325433

    Liu Zi-Chao, Wang Jiang, He Shao-Ming, Li Yu-Fei. A computational guidance algorithm for impact angle control based on predictor-corrector concept. Acta Aeronautica et Astronautica Sinica, 2022, 43(8): Article No. 325433
    [30] 张友安, 梁勇, 刘京茂, 孙玉梅. 基于轨迹成型的攻击角度与时间控制. 航空学报, 2018, 39(9): Article No. 322009

    Zhang You-An, Liang Yong, Liu Jing-Mao, Sun Yu-Mei. Trajectory reshaping based impact angle and time control. Acta Aeronautica et Astronautica Sinica, 2018, 39(9): Article No. 322009
    [31] Chen Y D, Wang J N, Shan J Y, Xin M. Cooperative guidance for multiple powered missiles with constrained impact and bounded speed. Journal of Guidance, Control, and Dynamics, 2021, 44(4): 825−841 doi: 10.2514/1.G005578
    [32] Lyu T, Li C J, Guo Y N, Ma G F. Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements. Chinese Journal of Aeronautics, 2019, 32(5): 1294−1304 doi: 10.1016/j.cja.2018.12.005
    [33] 刘子超, 王江, 何绍溟. 基于深度学习的时间角度控制制导律. 系统工程与电子技术, 2023, 45(11): 3579−3587

    Liu Zi-Chao, Wang Jiang, He Shao-Ming. Time and angle control guidance law based on deep learning. Systems Engineering and Electronics, 2023, 45(11): 3579−3587
    [34] Sun J L, Long T. Event-triggered distributed zero-sum differential game for nonlinear multi-agent systems using adaptive dynamic programming. ISA Transactions, 2021, 110: 39−52 doi: 10.1016/j.isatra.2020.10.043
    [35] Long T, Cao Y, Sun J L, Xu G T. Adaptive event-triggered distributed optimal guidance design via adaptive dynamic programming. Chinese Journal of Aeronautics, 2022, 35(7): 113−127 doi: 10.1016/j.cja.2021.08.005
    [36] 任章, 于江龙. 多临近空间拦截器编队拦截自主协同制导控制技术研究. 导航定位与授时, 2018, 5(2): 1−6

    Ren Zhang, Yu Jiang-Long. Research on the autonomous cooperative guidance control for the formation interception of multiple near space interceptors. Navigation Positioning and Timing, 2018, 5(2): 1−6
    [37] Dong X W, Li Y F, Lu C, Hu G Q, Li Q D, Ren Z. Time-varying formation tracking for UAV swarm systems with switching directed topologies. IEEE Transactions on Neural Networks and Learning Systems, 2019, 30(12): 3674−3685 doi: 10.1109/TNNLS.2018.2873063
    [38] 阎宏磊, 陆远, 郭杰, 唐胜景, 李响. 欠驱动高超滑翔飞行器集群协同编队控制方法. 空天防御, 2024, 7(1): 56−62

    Yan Hong-Lei, Lu Yuan, Guo Jie, Tang Sheng-Jing, Li Xiang. Cluster cooperative formation control method for underactuated hypersonic vehicle. Air and Space Defense, 2024, 7(1): 56−62
    [39] 王利楠, 温广辉, 伊枭剑. 状态约束下的多飞行器有限时间姿态一致性控制. 现代防御技术, 2024, 52(2): 124−131

    Wang Li-Nan, Wen Guang-Hui, Yi Xiao-Jian. Finite-time attitude consensus control of multiple unmanned aerial vehicles under state constraints. Modern Defense Technology, 2024, 52(2): 124−131
    [40] 吴险峰, 陈宝文, 孙经广. 带有避障约束的分布式导弹编队饱和控制器设计. 航天控制, 2024, 42(2): 3−9 doi: 10.3969/j.issn.1006-3242.2024.02.001

    Wu Xian-Feng, Chen Bao-Wen, Sun Jing-Guang. Design of distributed missile formation saturation controller with obstacle avoidance constraints. Aerospace Control, 2024, 42(2): 3−9 doi: 10.3969/j.issn.1006-3242.2024.02.001
    [41] 喻煌超, 曹粟, 彭羽凡, 王祥科. 面向机动飞行的固定翼无人机位姿跟踪控制. 控制理论与应用, 2023, 40(12): 2217−2224

    Yu Huang-Chao, Cao Su, Peng Yu-Fan, Wang Xiang-Ke. Pose tracking control of fixed-wing unmanned aerial vehicle towards maneuvering flight. Control Theory and Applications, 2023, 40(12): 2217−2224
    [42] Yu J L, Dong X W, Li Q D, Lv J H, Ren Z. Distributed adaptive cooperative time-varying formation tracking guidance for multiple aerial vehicles system. Aerospace Science and Technology, 2021, 117: Article No. 106925 doi: 10.1016/j.ast.2021.106925
    [43] 王肖, 郭杰, 唐胜景, 祁帅. 基于解析剖面的时间协同再入制导. 航空学报, 2019, 40(3): Article No. 322565

    Wang Xiao, Guo Jie, Tang Sheng-Jing, Qi Shuai. Time-cooperative entry guidance based on analytical profile. Acta Aeronautica et Astronautica Sinica, 2019, 40(3): Article No. 322565
    [44] 王培臣, 闫循良, 南汶江, 李新国. 考虑时间约束的近解析滑翔轨迹快速规划方法. 兵工学报, 2024, 45(7): 2294−2305

    Wang Pei-Chen, Yan Xun-Liang, Nan Wen-Jiang, Li Xin-Guo. A rapid and near analytic planning method for gliding trajectory under time constraints. Acta Armamentarii, 2024, 45(7): 2294−2305
    [45] 沈馨, 李响, 张后军, 郭宇恒, 刘旭. 一种无动力条件下的再入滑翔飞行编队制导方法. 飞行力学, 2023, 41(4): 74−80

    Shen Xin, Li Xiang, Zhang Hou-Jun, Guo Yu-Heng, Liu Xu. A formation guidance method for reentry unpowered gliding flight. Flight Dynamics, 2023, 41(4): 74−80
    [46] 李惠峰, 李昭莹. 高超声速飞行器上升段最优制导间接法研究. 宇航学报, 2011, 32(2): 297−302

    Li Hui-Feng, Li Zhao-Ying. Indirect method of optimal ascent guidance for hypersonic vehicle. Journal of Astronautics, 2011, 32(2): 297−302
    [47] 刘冬责. 多导弹协同制导与控制技术研究 [硕士学位论文], 北京理工大学, 中国, 2016.

    Liu Dong-Ze. Research on Multi-missile Cooperative Guidance And Control Technology [Master thesis], Beijing Institute of Technology, China, 2016.
    [48] 王紫扬. 多约束协同制导及编队飞行方法研究 [硕士学位论文], 北京理工大学, 中国, 2018.

    Wang Zi-Yang. Research on Cooperative Guidance and Formation Flight With Multiple Constraints [Master thesis], Beijing Institute of Technology, China, 2018.
    [49] Hong H C, Maity A, Holzapfel F. Free final-time constrained sequential quadratic programming-based flight vehicle guidance. Journal of Guidance, Control, and Dynamics, 2021, 44(1): 181−189 doi: 10.2514/1.G004874
    [50] 江涌, 王林波, 王蒙一. “群对群”协同对抗的规划与制导问题研究. 中国科学: 技术科学, 2024, 54(3): 377−390

    Jiang Yong, Wang Lin-Bo, Wang Meng-Yi. Planning and guidance challenges in a “group-to-group” collaborative confrontation. Scientia Sinica Technologica, 2024, 54(3): 377−390
    [51] Yang L Y, Zhao G, Wu B B, Yan G R. Assembly sequence planning for aircraft component based on improved clashes matrix. Applied Mechanics and Materials, 2011, 88−89: 22−28 doi: 10.4028/www.scientific.net/AMM.88-89.22
    [52] Zhai J P, Yang J Y. An integrated cooperative guidance design for target assignment and simultaneous attack on multiple targets. International Journal of Control, 2024, 97(10): 2175−2188 doi: 10.1080/00207179.2023.2260006
    [53] 肖惟, 于江龙, 董希旺, 李清东, 任章. 过载约束下的大机动目标协同拦截. 航空学报, 2020, 41(S1): Article No. 723777

    Xiao Wei, Yu Jiang-Long, Dong Xi-Wang, Li Qing-Dong, Ren Zhang. Cooperative interception against highly maneuvering target with acceleration constraints. Acta Aeronautica et Astronautica Sinica, 2020, 41(S1): Article No. 723777
    [54] 王翰, 姜吉祥, 程林, 梁海朝. 基于覆盖控制的多机动目标合围拦截制导方法. 飞行力学, 2024, 42(5): 64−71

    Wang Han, Jiang Ji-Xiang, Cheng Lin, Liang Hai-Zhao. Cooperative encirclement guidance strategy for intercepting multiple maneuverable targets. Flight Dynamics, 2024, 42(5): 64−71
    [55] 王少博, 郭杨, 王仕成, 刘志国, 张帅. 带有引诱角色的多飞行器协同最优制导方法. 航空学报, 2020, 41(2): Article No. 323402

    Wang Shao-Bo, Guo Yang, Wang Shi-Cheng, Liu Zhi-Guo, Zhang Shuai. Cooperative optimal guidance method for multi-aircraft with luring role. Acta Aeronautica et Astronautica Sinica, 2020, 41(2): Article No. 323402
    [56] 张帅, 郭杨, 王仕成. 带有引诱角色的有限时间协同制导方法. 宇航学报, 2018, 39(3): 308−317

    Zhang Shuai, Guo Yang, Wang Shi-Cheng. Finite time cooperative guidance method with a lure role. Journal of Astronautics, 2018, 39(3): 308−317
    [57] 于江龙, 董希旺, 李清东, 吕金虎, 任章. 拦截机动目标的分布式协同围捕制导方法. 航空学报, 2022, 43(9): Article No. 325817

    Yu Jiang-Long, Dong Xi-Wang, Li Qing-Dong, Lv Jin-Hu, Ren Zhang. Distributed cooperative encirclement hunting guidance method for intercepting maneuvering target. Acta Aeronautica et Astronautica Sinica, 2022, 43(9): Article No. 325817
    [58] 江涌, 王林波, 王蒙一, 宋勋, 安鹏飞, 于江龙. 基于覆盖理论的高速强机动目标协同围捕策略. 工程科学学报, 2024, 46(7): 1169−1178

    Jiang Yong, Wang Lin-Bo, Wang Meng-Yi, Song Xun, An Peng-Fei, Yu Jiang-Long. Coverage-based cooperative encirclement strategy against high-speed and highly maneuvering targets. Chinese Journal of Engineering, 2024, 46(7): 1169−1178
    [59] Chen S W, Wang W, Fan J F. Three-dimensional piecewise cooperative guidance with smooth switching topology. Aerospace Science and Technology, 2024, 150: Article No. 109181 doi: 10.1016/j.ast.2024.109181
    [60] 葛云鹏, 梁卓, 吕瑞, 涂海峰, 严大卫. 一种基于主从模式的无动力飞行器协同制导方法. 中国惯性技术学报, 2023, 31(4): 418−424

    Ge Yun-Peng, Liang Zhuo, Lv Rui, Tu Hai-Feng, Yan Da-Wei. A cooperative guidance method for unpowered vehicle based on master-slave mode. Journal of Chinese Inertial Technology, 2023, 31(4): 418−424
    [61] Tan M H, Shen H. Three-dimensional cooperative game guidance law for a leader-follower system with impact angles constraint. IEEE Transactions on Aerospace and Electronic Systems, 2024, 60(1): 405−420 doi: 10.1109/TAES.2023.3325795
    [62] Yu J L, Dong X W, Li Q D, Lv J H, Ren Z. Task coupling based layered cooperative guidance: Theories and applications. Control Engineering Practice, 2022, 121: Article No. 105050 doi: 10.1016/j.conengprac.2021.105050
    [63] Zhao J B, Yang S X, Xiong F F. Cooperative guidance of seeker-less missile with two leaders. Aerospace Science and Technology, 2019, 88: 308−315 doi: 10.1016/j.ast.2019.03.036
    [64] 张邦楚, 伍勋, 胡森, 朱威禹. 体系保障下无导引头高超声速导弹网络化协同制导技术. 战术导弹技术, 2023(5): 114−123

    Zhang Bang-Chu, Wu Xun, Hu Sen, Zhu Wei-Yu. Networked collaborative guidance technology for hypersonic missiles without seeker under system support. Tactical Missile Technology, 2023(5): 114−123
    [65] 陈维义, 何凡, 李逸源, 董海迪. 三体对抗中的主动防御鲁棒最优预测制导律研究. 北京理工大学学报, 2024, 44(6): 645−654

    Chen Wei-Yi, He Fan, Li Yi-Yuan, Dong Hai-Di. Robust optimal predictive guidance law for active defense in three-body confrontation. Transactions of Beijing Institute of Technology, 2024, 44(6): 645−654
    [66] 李毅. 二对二攻防对抗协同制导律研究 [硕士学位论文], 哈尔滨工业大学, 中国, 2022.

    Li Yi. Cooperative Guidance Law for Two-on-two Attack-defense Confrontation [Master thesis], Harbin Institute of Technology, China, 2022.
    [67] Tan Z W, Fonod R, Shima T. Cooperative guidance law for target pair to lure two pursuers into collision. Journal of Guidance, Control, and Dynamics, 2018, 41(8): 1687−1699 doi: 10.2514/1.G003357
    [68] 杨广超, 周传睿, 邢文革. 海战场无人机集群与反舰导弹协同作战样式与反制策略研究. 战术导弹技术, 2024, 1(1): 141−149

    Yang Guang-Chao, Zhou Chuan-Rui, Xing Wen-Ge. Research on the collaborative combat mode and countermeasures of UAV swarm and anti-ship missile in naval battlefield. Tactical Missile Technology, 2024, 1(1): 141−149
    [69] 张龙, 傅学庆, 明晓. 空海一体化协同防空作战样式设计. 飞控与探测, 2024, 7(2): 51−56

    Zhang Long, Fu Xue-Qing, Ming Xiao. Design of air-sea integrated and coordinated air defense operation style. Flight Control and Detection, 2024, 7(2): 51−56
    [70] 徐胜利, 张迪, 赵宏宇. 基于体系对抗的多弹协同制导技术研究. 战术导弹技术, 2019, (1): 79−86

    Xu Sheng-Li, Zhang Di, Zhao Hong-Yu. Research on the multi-missile cooperative technology based on systemic confrontation. Tactical Missile Technology, 2019, (1): 79−86
    [71] 孙景亮, 刘春生. 基于自适应动态规划的导弹制导律研究综述. 自动化学报, 2017, 43(7): 1101−1113

    Sun Jing-Liang, Liu Chun-Sheng. An overview on the adaptive dynamic programming based missile guidance law. Acta Automatica Sinica, 2017, 43(7): 1101−1113
    [72] Ho Y, Bryson A, Baron S. Differential games and optimal pursuit-evasion strategies. IEEE Transactions on Automatic Control, 1965, 10(4): 385−389 doi: 10.1109/TAC.1965.1098197
    [73] 花文华, 张拥军, 张金鹏, 孟庆龄. 双导弹拦截角度协同的微分对策制导律. 中国惯性技术学报, 2016, 24(6): 838−844

    Hua Wen-Hua, Zhang Yong-Jun, Zhang Jin-Peng, Meng Qing-Ling. Differential game guidance law for double missiles with cooperative intercept angle. Journal of Chinese Inertial Technology, 2016, 24(6): 838−844
    [74] Bardhan R, Ghose D. Nonlinear differential games-based impact-angle-constrained guidance law. Journal of Guidance, Control, and Dynamics, 2015, 38(3): 384−402 doi: 10.2514/1.G000940
    [75] Taub I, Shima T. Intercept angle missile guidance under time varying acceleration bounds. Journal of Guidance, Control, and Dynamics, 2013, 36(3): 686−699 doi: 10.2514/1.59139
    [76] 郭志强, 周绍磊. 多弹协同微分对策制导律研究. 兵器装备工程学报, 2019, 40(5): 21−25

    Guo Zhi-Qiang, Zhou Shao-Lei. Research on cooperative differential game guidance law for multi-missile. Journal of Ordnance Equipment Engineering, 2019, 40(5): 21−25
    [77] Perelman T, Shima T, Rusnak T. Cooperative differential games strategies for active aircraft protection from a homing missile. Journal of Guidance, Control, and Dynamics, 2011, 34(3): 761−773 doi: 10.2514/1.51611
    [78] Shima T. Optimal cooperative pursuit and evasion strategies against a homing missile. Journal of Guidance, Control, and Dynamics, 2011, 34(2): 414−425 doi: 10.2514/1.51765
    [79] Rubinsky S, Gutman S. Three-player pursuit and evasion conflict. Journal of Guidance, Control, and Dynamics, 2014, 37(1): 98−110 doi: 10.2514/1.61832
    [80] Liu F, Dong X W, Li Q D, Ren Z. Cooperative differential games guidance laws for multiple attackers against an active defense target. Chinese Journal of Aeronautics, 2022, 35(5): 374−389 doi: 10.1016/j.cja.2021.07.033
    [81] Guo M C, De Persis C. Linear quadratic network games with dynamic players: Stabilization and output convergence to Nash equilibrium. Automatica, 2021, 130: Article No. 109711 doi: 10.1016/j.automatica.2021.109711
    [82] 刘飞, 董希旺, 化永朝, 于江龙, 任章. 基于多联盟非合作博弈纳什均衡搜索的集群对抗方法. 指挥与控制学报, 2023, 9(6): 673−682 doi: 10.3969/j.issn.2096-0204.2023.06.0673

    Liu Fei, Dong Xi-Wang, Hua Yong-Zhao, Yu Jiang-Long, Ren Zhang. Swarm confrontation method based on Nash equilibrium seeking in multi coalition non-cooperative games. Journal of Command and Control, 2023, 9(6): 673−682 doi: 10.3969/j.issn.2096-0204.2023.06.0673
    [83] 王鑫, 闫杰, 孟廷伟. 高速目标分阶段博弈拦截制导策略. 航空学报, 2022, 43(9): Article No. 325598 doi: 10.7527/j.issn.1000-6893.2022.9.hkxb202209038

    Wang Xin, Yan Jie, Meng Ting-Wei. High-speed target multi-stage interception scheme based on game theory. Acta Aeronautica et Astronautica Sinica, 2022, 43(9): Article No. 325598 doi: 10.7527/j.issn.1000-6893.2022.9.hkxb202209038
    [84] 肖增博, 雷虎民, 滕江川, 张旭, 陈治湘. 目标飞行器反拦截协同制导策略. 兵工学报, 2011, 32(12): 1486−1492

    Xiao Zeng-Bo, Lei Hu-Min, Teng Jiang-Chuan, Zhang Xu, Chen Zhi-Xiang. Cooperative guidance strategy in anti-interception for target aircrafts. Acta Armamentarii, 2011, 32(12): 1486−1492
    [85] 陈洁卿, 孙瑞胜, 陈伟. 超声速导弹群协同博弈突防制导研究. 无人系统技术, 2021, 4(6): 65−74

    Chen Jie-Qing, Sun Rui-Sheng, Chen Wei. Research on cooperative penetration game guidance of supersonic missile group. Unmanned Systems Technology, 2021, 4(6): 65−74
    [86] 陈仔荣. 无人机避障突防与协同搜索一体化规划方法研究 [硕士学位论文], 国防科技大学, 中国, 2017.

    Chen Zi-Rong. Research on Integrated Route Planning Method of UAV Obstacle-avoidance Penetration and Cooperative Search [Master thesis], National University of Defense Technology, China, 2017.
    [87] 李守义, 陈谋, 王玉惠, 吴庆宪, 贺建良. 非完备策略集下人机对抗空战决策方法. 中国科学: 信息科学, 2022, 52(12): 2239−2253 doi: 10.1360/SSI-2022-0222

    Li Shou-Yi, Chen Mou, Wang Yu-Hui, Wu Qing-Xian, He Jian-Liang. Human-computer gaming decision-making method in air combat under an incomplete strategy set. Scientia Sinica Informationis, 2022, 52(12): 2239−2253 doi: 10.1360/SSI-2022-0222
    [88] 倪炜霖, 王永海, 徐聪, 赤丰华, 梁海朝. 基于强化学习的高超飞行器协同博弈制导方法. 航空学报, 2023, 44(S2): Article No. 729400

    Ni Wei-Lin, Wang Yong-Hai, Xu Cong, Chi Feng-Hua, Liang Hai-Zhao. Cooperative game guidance method for hypersonic vehicles based on reinforcement learning. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): Article No. 729400
    [89] 郭明坤, 杨峰, 刘凯, 夏广庆, 杨竞楠. 高超声速飞行器协同制导技术研究进展. 空天技术, 2022(2): 75−84

    Guo Ming-Kun, Yang Feng, Liu Kai, Xia Guang-Qing, Yang Jing-Nan. Review on cooperative guidance technology for hypersonic flight vehicle. Aerospace Technology, 2022(2): 75−84
    [90] 王祥科, 刘志宏, 丛一睿, 李杰, 陈浩. 小型固定翼无人机集群综述和未来发展. 航空学报, 2020, 41(4): Article No. 023732

    Wang Xiang-Ke, Liu Zhi-Hong, Cong Yi-Rui, Li Jie, Chen Hao. Miniature fixed-wing UAV swarms: Review and outlook. Acta Aeronautica et Astronautica Sinica, 2020, 41(4): Article No. 023732
    [91] 王越, 赵凯, 刘学超, 杨维, 姚桐. 多防空武器平台一体化协同作战样式与关键技术探讨. 火炮发射与控制学报, 2022, 43(3): 91−95

    Wang Yue, Zhao Kai, Liu Xue-Chao, Yang Wei, Yao Tong. Combat modes and key technologies of a multi air defense weapon platform in integrated cooperative operations. Journal of Gun Launch and Control, 2022, 43(3): 91−95
    [92] 肖冰松, 方洋旺, 许蕴山, 曾宪伟, 胡诗国. 航空武器系统协同作战样式及关键技术. 火力与指挥控制, 2010, 35(4): 5−8

    Xiao Bing-Song, Fang Yang-Wang, Xu Yun-Shan, Zeng Xian-Wei, Hu Shi-Guo. Modes and critical technologies in cooperative engagement for aviation weapon system. Fire Control and Command Control, 2010, 35(4): 5−8
    [93] 张婷, 帅欢, 闫妍, 朱豪坤, 刘闯. 制导炸弹智能技术现状与发展思考. 导航与控制, 2022, 21(2): 21−29 doi: 10.3969/j.issn.1674-5558.2022.02.003

    Zhang Ting, Shuai Huan, Yan Yan, Zhu Hao-Kun, Liu Chuang. Present situation and development of intelligent technology for guided bomb. Navigation and Control, 2022, 21(2): 21−29 doi: 10.3969/j.issn.1674-5558.2022.02.003
    [94] 贾广新, 张品, 王永伟, 许静. 空面精确制导分布式智能协同的研究分析. 飞航导弹, 2021(5): 85−89

    Jia Guang-Xin, Zhang Pin, Wang Yong-Wei, Xu Jing. Research and analysis of distributed intelligent collaboration for air surface precision guidance. Aerodynamic Missile Journal, 2021(5): 85−89
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  • 收稿日期:  2024-07-12
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