带落角和时间约束的网络化导弹协同制导律

doi:10.3969/j.issn.1000-1093.2016.03.007

摘要/Abstract

摘要： 对网络化导弹的协同攻击问题进行了带命中落角约束和攻击时间约束的协同偏置比例导引律研究。对单枚导弹给出了带命中落角约束的偏置比例导引律，并推导出了对应的导弹剩余攻击时间的估算表达式。针对网络化导弹系统,根据各导弹的剩余攻击时间之差对偏置比例导引律中的比例系数进行调节，设计得到了同时满足命中落角和攻击时间约束的协同偏置比例导引律，进一步从理论上证明了该导引律能够使多枚导弹的攻击时间趋于一致。网络化导弹制导系统数学仿真实验结果表明，协同偏置比例导引律及剩余攻击时间估算方法是有效和正确的。

关键词: 控制科学与技术, 协同制导律, 命中落角约束, 攻击时间约束, 剩余攻击时间

Abstract: Cooperative biased proportional guidance law with impact angle and impact time constraints is presented for cooperative attack of networked missiles. The biased proportional guidance law with impact angle constraints is proposed, and the expression of time-to-go in this guidance law is deduced. The proportional coefficient is adjusted by the difference of the time-to-go of each missile in the network. And the cooperative biased proportional guidance law with impact angle and impact time constraints is presented. It is proved theoretically that the multiple missiles trend to have the same time-to-go by the guidance law. Finally, the mathematical simulation of guidance system of networked missiles illustrates the validity of the proposed guidance law and the expression of time-to-go.

Key words: control science and technology, cooperative guidance law, impact angle constraint, impact time constraint, time-to-go

中图分类号:

TJ765.3

张春妍，宋建梅，侯博，张民强. 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 Chun-yan, SONG Jian-mei, HOU Bo, ZHANG Min-qiang. Cooperative Guidance Law with Impact Angle and Impact Time Constraints for Networked Missiles[J]. Acta Armamentarii, 2016, 37(3): 431-438.

参考文献

［1］肖增博, 雷虎民, 滕江川, 等. 多导弹协同制导规律研究现状及展望［J］. 航空兵器, 2011(6): 18-22.
XIAO Zeng-bo, LEI Hu-min, TENG Jiang-chuan, et al. The present status and prospect of multi-missile cooperative guidance law［J］. Aero Weaponry, 2011(6): 18-22. (in Chinese)
［2］张克, 刘永才, 关世义. 本系作战条件下飞航导弹突防与协同攻击问题研究［J］. 战术导弹技术, 2005(2): 1-7.
ZHANG Ke, LIU Yong-cai, GUAN Shi-yi. An investigation into the issues of penetration and cooperative engagement for aerodynamic missile under the condition of systems coutermeasures［J］. Tactical Missile Technology, 2005 (2): 1-7. (in Chinese)
［3］蔡洪, 胡正东, 曹渊. 具有终端角度约束的导引律综述［J］. 宇航学报, 2010, 31(2): 315-323.
CAI Hong, HU Zheng-dong, CAO Yuan. A survey of guidance law with terminal impact angle constraints［J］. Journal of Astronautics, 2010, 31(2): 315-323. (in Chinese)
［4］ Erer K S, Ozgoren M K. Control of impact angle using biased proportional navigation［C］∥Guidance, Navigation, and Control and Co-located Conferences. Boston, MA, US: AIAA, 2013.
［5］高峰, 唐胜景, 师娇, 等. 一种基于落角约束的偏置比例导引律［J］. 北京理工大学学报, 2014, 34(3):277-282.
GAO Feng, TANG Sheng-jing, SHI Jiao, et al. A bias proportional navigation guidance law based on terminal impact angle constraint［J］. Transactions of Beijing Institute of Technology, 2014, 34(3): 277-282. (in Chinese)
［6］ Kim B S, Lee J G, Han H S. Biased PNG law for impact with angular constraint［J］. IEEE Transactions on Aerospace and Electronic Systems, 1998, 34(1):277-288.
［7］ Lee C H, Kim T H, Tahk M J. Interception angle control guidance using proportional navigation with error feedback［J］. Journal of Guidance Control and Dynamics, 2013, 36(5):1556-1561.
［8］ Ryoo C K, Cho H, Tahk M J. Optimal guidance laws with terminal impact angle constraint［J］. Journal of Guidance, Control, and Dynamics, 2005, 28(4): 724-732.
［9］ Lee C H, Tahk M J, Lee J I. Generalized formulation of weighted optimal guidance laws with impact angle constraint［J］. IEEE Transactions on Aerospace Electronic Systems, 2013, 49(2): 1317-1322.
［10］ Xing Q, Chen W C. Segmented optimal guidance with constraints on terminal angle of attack and impact angle［C］∥50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Nashville, Tennessee, US: AIAA, 2012.
［11］ Wang X, Wang J. Partial integrated guidance and control for missiles with three-dimensional impact angle constraints［J］. Journal of Guidance, Control, and Dynamics, 2014, 37(2): 644-657.
［12］ 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.
［13］张功, 李帆, 赵建辉, 等. 弹着时间可控的机动目标多弹协同制导律［J］. 指挥控制与仿真, 2010, 32(1): 52-55.
ZHANG Gong, LI Fan, ZHAO Jian-hui, et al. Impact-time-control guidance law for multi-missile cooperative model with mobility of the target considered［J］. Command Control & Simulation, 2010, 32(1): 52-55. (in Chinese)
［14］王晓芳，郑艺裕，林海. 导弹协同作战四维制导与控制一体化设计方法［J］. 系统工程与电子技术，2015，37（4）：874-881.
WANG Xiao-fang, ZHENG Yi-yu, LIN Hai. 4D intergrated guidance and control law for missiles cooperative engagement［J］. Systems Engineering and Electronics, 2015,37(4):874-881. (in Chinese)
［15］ Jeon I S, Lee J I, Tahk M J. Homing guidance law for cooperative attack of multiple missiles［J］. Journal of Guidance, Control, and Dynamics, 2010, 33(1): 275-280.
［16］马国欣, 张友根, 张友安. 领弹控制下的多导弹时间协同三维制导律［J］. 海军航空工程学院学报, 2013, 28(1): 11-16.
MA Guo-xin, ZHANG You-gen, ZHANG You-an. Leader-controlled three-dimensional guidance law for time-cooperative multi-missiles［J］. Journal of Naval Aeronautical and Astronautical, 2013, 28(1): 11-16. (in Chinese)
［17］ Zhao E J, Chao T, Wang S Y, et al. An adaptive parameter cooperative guidance law for multiple flight vehicles［C］∥Atmospheric Flight Mechanics Conference. Dallas, TX, US: AIAA, 2015: 1-10.
［18］赵世钰, 周锐. 基于协调变量的多导弹协同制导［J］. 航空学报, 2008, 29(6): 1605-1611.
ZHAO Shi-yu, ZHOU Rui. Multi-missile cooperative guidance using coordination variables［J］. Acta Aeronautica et Astronautica Sinica, 2008, 29(6): 1605-1611. (in Chinese)
［19］ Zhang Y, Ma G, Liu A. Guidance law with impact time and impact angle constraints［J］. Chinese Journal of Aeronautics, 2013, 26(4): 960-966.
［20］ Harl N, Balakrishnan S N. Impact time and angle guidance with sliding mode control［J］. IEEE Transactions on Control Systems Technology, 2012, 20(6):1436-1449.
［21］ Lee J I, Jeon I S, Tahk M J. Guidance law to control impact time and angle［J］.IEEE Transactions on Aerospace and Electronic Systems,2007, 43(1): 301-310.
［22］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, 2012, 24(2): 1-5.
WANG Xiao-fang, HONG Xin, LIN Hai. A method of controlling impact time and impact angle of multiple-missiles cooperative combat［J］. Journal of Ballistics, 2012, 24(2): 1-5. (in Chinese)

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