Time-cooperative guidance law for multiple missiles with spatial cooperation

LYU Teng; LYU Yueyong; LI Chuanjiang; GUO Yanning

doi:10.7527/S1000-6893.2018.22115

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2018 , Vol. 39 >Issue 10: 322115 - 322115

DOI: https://doi.org/10.7527/S1000-6893.2018.22115

Electronics and Electrical Engineering and Control

Time-cooperative guidance law for multiple missiles with spatial cooperation

LYU Teng ,
LYU Yueyong ,
LI Chuanjiang ,
GUO Yanning

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School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Received date: 2018-03-06

Revised date: 2018-06-29

Online published: 2018-07-09

Supported by

National Natural Science Foundation of China (61603114, 61673135)

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Abstract

In order that multiple missiles can hit a stationary target simultaneously in the desired relative direction of the missile-target Line-of-Sight(LOS) in the plane, a time-cooperative guidance law for multiple missiles with spatial cooperation is proposed. Based on in-plane missile-target relative motion equations, a time cooperative guidance model for multiple missiles with spatial cooperation is constructed. Based on the theory of multi-agent cooperative control, in LOS direction, a distributed time-cooperative guidance law is postulated, which can guarantee that all missiles' impact times reach consensus in a finite time. In the vertical direction of LOS, a distributed space-cooperative guidance law is postulated, which can guarantee that missiles' relative LOS angles converge to the desired values in a finite time. Numerical simulations demonstrate that the proposed cooperative guidance laws can ensure that multiple missiles hit the target simultaneously in the desired relative directions of the missile-target LOS.

Key words： spatial cooperation; time cooperation; multi-agent cooperative control; relative line-of-sight angle; finite time

Cite this article

LYU Teng , LYU Yueyong , LI Chuanjiang , GUO Yanning . Time-cooperative guidance law for multiple missiles with spatial cooperation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018 , 39(10) : 322115 -322115 . DOI: 10.7527/S1000-6893.2018.22115

References

[1] 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):1-13. ZHAO J B, YANG S X. Review of multi-missile cooperative guidance[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(1):1-13(in Chinese).
[2] 张民, 夏卫政, 黄坤, 等. 基于leader-follower编队的无人机协同跟踪地面目标制导律设计[J]. 航空学报, 2018, 39(2):321497. ZHANG M, XIA W Z, HUANG K, et al. Guidance law for cooperative tracking of a ground target based on leader-follower formation of UAVs[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(2):321497(in Chinese).
[3] 姚郁, 郑天宇, 贺风华, 等. 飞行器末制导中的几个热点问题与挑战[J]. 航空学报, 2015, 36(8):2696-2716. YAO Y, ZHENG T Y, HE F H, et al. Several hot issues and challenges in terminal guidance of flight vehicles[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(8):2696-2716(in Chinese).
[4] 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.
[5] 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).
[6] 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 heterogeneous missiles coordinated guidance strategy[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(7):2291-2300(in Chinese).
[7] WANG X H, LU X. Three-dimensional impact angle constrained distributed guidance law design for cooperative attacks[J]. ISA Transactions, 2018, 73:79-90.
[8] 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. 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 Armamentarii, 2018, 39(2):305-314(in Chinese).
[9] SHAFERMAN V, SHIMA T. Cooperative differential games guidance laws for imposing a relative intercept angle[J]. Journal of Guidance, Control, and Dynamics, 2017, 40(7):1-16.
[10] SHAFERMAN V, SHIMA T. Cooperative optimal guidance laws for imposing a relative intercept angle[J]. Journal of Guidance, Control, and Dynamics, 2015, 38(8):1395-1408.
[11] 孙雪娇, 周锐, 吴江, 等. 攻击机动目标的多导弹分布式协同制导律[J]. 北京航空航天大学学报, 2013, 39(10):1403-1407. SUN X J, ZHOU R, WU J, et al. Distributed cooperative guidance law for multiple missiles attacking maneuver target[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(10):1403-1407(in Chinese).
[12] 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).
[13] 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.
[14] ZHANG P, LIU H T, LI X B, et al. Fault tolerance of cooperative interception using multiple flight vehicles[J]. Journal of the Franklin Institute, 2013, 350(9):2373-2395.
[15] WANG X L, HONG Y G. Finite-time consensus for multi-agent networks with second-order agent dynamics[J]. IFAC Proceedings Volumes, 2008, 41(2):15185-15190.
[16] 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):2436-2444.
[17] ZHAO J, ZHOU R, DONG Z N. Three-dimensional cooperative guidance laws against stationary and maneuvering targets[J]. Chinese Journal of Aeronautics, 2015, 28(4):1104-1120.
[18] 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.
[19] 周锐, 孙雪娇, 吴江, 等. 多导弹分布式协同制导与反步滑模控制方法[J]. 控制与决策, 2014, 29(9):1617-1622. ZHOU R, SUN X J, WU J, et al. Multi-missile distributed cooperative guidance integrating backstepping sliding mode control[J]. Control and Decision, 2014, 29(9):1617-1622(in Chinese).
[20] ROSIER L. Homogeneous lyapunov function for homogeneous continuous vector field[J]. Systems & Control Letters, 1992, 19(6):467-473.
[21] BHAT S P, BERNSTEIN D S. Finite-time stability of homogeneous systems[C]//Proceedings of American Control Conference. Piscataway, NJ:IEEE Press, 1997:13-14.
[22] 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.

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