Distributed Cooperative Guidance of Multiple Missiles with Heterogeneous Constraints of Field-of-view

doi:10.3969/j.issn.1000-1093.2019.03.008

Abstract

Abstract: Distributed cooperative guidance is proposed for the missiles with heterogeneous constraints of field-of-view. Communication among missiles is periodic, and only the information of range-to-go is exchanged among the neighboring missiles in the network to generate a consensus error. Based on the missile’s field-of-view and the lead angle, a saturation function is used, and a distributed consensus protocol is developed by the consensus error so that the coordination variables can reach consensus. Multiple missiles are disconnected to the communication network and are guided to a target independently when they approach a target and their coordination variables are consistent. Based on feedback linearization, graph and matrix theories, the sufficient conditions are established to make the multiple missiles realize the cooperative attack under the cooperative guidance law. Compared with the conventional cooperative guidance of multiple missiles, the proposed cooperative guidance law can satisfy each missile’s constraints of heterogeneous field-of-views, and the communication effort is easy. Simulated results show that the salvo attack of multiple missiles is achieved, and the target is locked on during each missile’s flight. Key

Key words: missile, cooperativeguidance, heterogeneousconstraintsoffield-of-views, distributed, saturationfunction

CLC Number:

TJ765.4⁺3

YE Pengpeng， ZHANG Jiao， LI Yinya， QI Guoqing， SHENG Andong. Distributed Cooperative Guidance of Multiple Missiles with Heterogeneous Constraints of Field-of-view[J]. Acta Armamentarii, 2019, 40(3): 506-515.

References

［1］滕克难. 网络化舰空导弹超视距协同反导的关键技术[J]. 电光与控制, 2012, 19(12): 1-5.
TENG K N. Key technologies of networked ship-to-air missile beyond-visual-range cooperative anti-missile system[J]. Electronics Optics & Control, 2012, 19(12):1-5.(in Chinese)
[2］关世义. 飞航导弹突防技术与战术导论[J]. 战术导弹技术, 2006 (4): 1-8.
GUAN S Y. Introduction to penetration technologies and tactics for aerodynamic missile[J]. Tactical Missile Technology, 2006(4):1-8. (in Chinese)
[3］曾家有, 王国卫, 钟建林, 等. 多平台舰舰导弹饱和攻击几个协同问题与模型[J]. 兵工学报, 2014, 35(2): 256-261.
ZENG J Y, WANG G W, ZHONG J L, et al. Research on cooperative saturation attack problems and models of ship-to-ship missiles from multi-ship platforms [J]. Acta Armamentarii, 2014, 35(2): 256-261. (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, 2017, 38(1): 17-29.
ZHAO J B, YANG S X. Review of multi-missile cooperative guidance[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(1): 17-29. (in Chinese)
[5］ JEON I S, LEE J I, TAHK M J. Impact-time-control guidance law for anti-ship missiles[J]. IEEE Transactions on Control Systems Technology, 2006, 14(2): 260-266.
[6］ HOU D L, WANG Q, SUN X J, et al. Finite-time cooperative guidance laws for multiple missiles with acceleration saturation constraints[J]. IET Control Theory & Applications, 2015, 9(10): 1525-1535.
[7］ ZHOU J L, YANG J Y. Distributed guidance law design for cooperative simultaneous attacks with multiple missiles[J]. Journal of Guidance, Control, and Dynamics, 2016, 39(10): 2439-2447.
[8］ ZHAO Q L, DONG X W, LIANG Z X, et al. Distributed group cooperative guidance for multiple missiles with fixed and switching directed communication topologies[J]. Nonlinear Dynamics, 2017, 90(4): 2507-2523.
[9］叶鹏鹏, 盛安冬, 张蛟, 等. 非持续连通通信拓扑下的多导弹协同制导[J]. 兵工学报, 2018, 39(3): 474-484.
YE P P, SHENG A D, ZHANG J, et al. Cooperative guidance of multi-missile with unsustainable connected communication topology[J]. Acta Armamentarii, 2018, 39(3): 474-484. (in Chinese)

[10］ LEE C H, Hyun C, LEE J G, et al. A hybrid guidance law for a strapdown seeker to maintain lock-on conditions against high speed targets[J]. Journal of Electrical Engineering & Technology, 2013, 8(1): 190-196.
[11］ ZHANG Y A, WANG X L, WU H L. Impact time control guidance law with field of view constraint[J]. Aerospace Science and Technology, 2014, 39: 361-369.
[12］ JEON I S, LEE J I. Impact-time-control guidance law with constraints on seeker look angle[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(5): 2621-2627.
[13］ CHEN X T, WANG J Z. Nonsingular sliding-mode control for field-of-view constrained impact time guidance[J]. Journal of Guidance Control & Dynamics, 2018, 41(3): 1-9.
[14］张春妍, 宋建梅, 侯博, 等. 带落角和时间约束的网络化导弹协同制导律[J]. 兵工学报, 2016, 37(3): 431-438.
ZHANG C Y, SONG J M, HOU B, et al. Cooperative guidance law with impact angle and impact time constraints for networked missiles[J]. Acta Armamentarii, 2016, 37(3): 431-438. (in Chinese)
[15］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, 2018, 39(2): 305-314.
L T, L Y Y, LI C J, et al. Finite time cooperative guidance law for multiple missiles with line-of-sight angle constraint[J]. Acta Armamentarii, 2018, 39(2): 305-314. (in Chinese)
[16］ ZHANG Y A, WANG X L, WU H L. A distributed cooperative guidance law for salvo attack of multiple anti-ship missiles[J]. Chinese Journal of Aeronautics, 2015, 28(5): 1438-1450.
[17］ WANG X L, ZHANG Y A, WU H L. Distributed cooperative guidance of multiple anti-ship missiles with arbitrary impact angle constraint[J]. Aerospace Science and Technology, 2015, 46: 299-311.
[18］赵启伦, 陈建, 李清东, 等. 高超武器与常规导弹协同攻击策略可行域研究[J]. 航空学报, 2015, 36(7): 2291-2300.
ZHAO Q L, CHEN J, LI Q D, et al. Feasible region of hypersonic and ballistic missiles' cooperative attack strategy[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(7): 2291-2300. (in Chinese)
[19］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, 2016, 37(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 Sinica, 2016,37(3):936-948. (in Chinese)
[20］张友安, 王星亮, 刘京茂, 等. 角度控制与时间控制导引律[M]. 北京：电子工业出版社，2017: 53.
ZHANG Y A, WANG X L, LIU J M, et, al. Guidance laws for impact angle and impact time control[M]. BeiJing: Publishing House of Electronics Industry, 2017: 53. (in Chinese)
[21］ LIN P, REN W, GAO H J. Distributed velocity-constrained consensus of discrete-time multi-agent systems with nonconvex constraints, switching topologies, and delays[J]. IEEE Transactions on Automatic Control, 2017, 62(11): 5788-5794.
[22］ WEI R, BEARD R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies[J]. IEEE Transactions on Automatic Control, 2005, 50(5): 655-661.
[23］ WOLFOWITZ J. Products of indecomposable, aperiodic, stochastic matrices[J]. Proceedings of American Mathematical Society, 1963, 14(5): 733-737.

第40卷
第3期2019 年3月兵工学报ACTA
ARMAMENTARIIVol.40No.3Mar.2019

[1]	LIU Zhifeng, ZHANG Xue, LI Ping, ZHANG Jihao, LI Siqi, WANG Weidong, GONG Peng. Research on the Transmission Scheme of Multi-aircraft Network Based on D2D Communication and Virtual MIMO [J]. Acta Armamentarii, 2024, 45(4): 1141-1147.
[2]	SU Di, WANG Shaobo, ZHANG Cheng, CHEN Zhisheng, LIU Chaoyue. Projectile-borne Image Deblurring Algorithm Based on Generative Adversarial Networks [J]. Acta Armamentarii, 2024, 45(3): 855-863.
[3]	WANG Yuchen, WANG Wei, LI Ning, ZHU Zejun, SHI Zhongjiao. A Control Method for Roll Stabilization of Guided Missile with Large Angle of Attack [J]. Acta Armamentarii, 2024, 45(3): 774-788.
[4]	XU Wenxu, LI Zhao, LU Fandong. Accurate Evaluation Method for Damage Effectiveness of Anti-tank Missile Based on State Space [J]. Acta Armamentarii, 2024, 45(3): 810-817.
[5]	LEI Juanmian, GAO Yi, YONG Zheng. Numerical Investigation of the Jet Interference Characteristics of a Lateral-jet-controlled Spinning Missile [J]. Acta Armamentarii, 2024, 45(1): 105-121.
[6]	LI Hao, LI Haojie, YUAN Hongwei, YUE Zhonghao, MA Haitao. Influence of Distributed Capacitance on Information Transmission Characteristics of Collinear Setting System of Fuze and Its Optimization [J]. Acta Armamentarii, 2024, 45(1): 319-327.
[7]	LIU Haobang, SHI Xianming, ZHAO Mei, ZHANG Jianjun. Bayesian Estimation of Surface-to-Air Missile Hit Probability Based on Normal-inverse Wishart Distribution [J]. Acta Armamentarii, 2024, 45(1): 339-348.
[8]	YU Jintao, XIAO Bing, CUI Yuzhu. Capability Evaluation of Air Defense and Anti-missile Early Warning System-of-systems Based on Node Importance and Improved Effectiveness Loop [J]. Acta Armamentarii, 2024, 45(1): 328-338.
[9]	ZHANG Jixiong, LI Zonggang, NING Xiaogang, CHEN Yinjuan. Fully Distributed Consensus Control of General Linear Multi-agent System Based on Dynamic Event-trigger [J]. Acta Armamentarii, 2023, 44(S2): 223-234.
[10]	WANG Yuchen, WANG Wei, LIN Shiyao, YANG Jing, WANG Shaolong, YIN Zhao. Three-dimensional Adaptive Sliding Mode Cooperative Guidance Law with Impact Time and Angle Constraints [J]. Acta Armamentarii, 2023, 44(9): 2778-2790.
[11]	CAO Yan, LONG Teng, SUN Jingliang, ZHOU Yuze. Distributed Task Allocation Algorithm for Multiple Unmanned Aerial Vehicle Based on Information Retransmission and Package Loss Compensation [J]. Acta Armamentarii, 2023, 44(9): 2697-2708.
[12]	LIU Xingyu, GUO Ronghua, REN Chengcai, YAN Chao, CHANG Yuan, ZHOU Han, XIANG Xiaojia. Distributed Target Assignment Method for UAV Swarms Using Identity Hungarian Algorithm [J]. Acta Armamentarii, 2023, 44(9): 2824-2835.
[13]	TONG Xin, LI Xu, LIU Yin. Design of Access Scheme for Detection Swarm for Satellites in HEO [J]. Acta Armamentarii, 2023, 44(8): 2354-2367.
[14]	SONG Jinchao, ZHAO Liangyu. Attitude Pursuit GuidanceLaw for Coning Motion Stability of Spinning Missiles [J]. Acta Armamentarii, 2023, 44(6): 1795-1808.
[15]	LIU Bing, CHENG Dong, LU Bingju, CHEN Xiaohan, LE Guigao. Modeling and Simulation of Transmedia Separation of Missile Ejected from Carrier with Adapter [J]. Acta Armamentarii, 2023, 44(5): 1237-1250.