攻击角度和时间精确控制的制导律设计

doi:10.7527/S1000-6893.2024.30787

Abstract

Abstract:

Spatial-temporal constrained guidance is a method that simultaneously meets impact angle and time constraints. To address the problem of missile terminal guidance， a spatial-temporal constrained guidance law with precise control capability is designed in this paper. First， based on the time-to-go estimation of the optimal impact angle constrained guidance law， a varying-gain impact angle constrained guidance law whose time-to-go can be precisely predicted is inversely derived without any small angle approximation. Second， an impact-time error feedback term is added to the above guidance law to obtain the singularity-free spatial-temporal guidance law for simultaneous precise control of impact angle and time. Third， by introducing the remaining trajectory length as an independent variable， the proposed spatial-temporal guidance law is extended to practical scenarios with missile speed variation. Finally， the effectiveness and advantages of the proposed guidance law are verified through several numerical simulations.

Key words: impact time constraint, impact angle constraint, spatial-temporal constrained guidance, time-to-go, missile speed variation

CLC Number:

V448.133

Wei DONG, Xin YI, Houjun ZHANG, Chunyan WANG, Fang DENG. Design of guidance law with precise impact angle and time control[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(4): 330787.

Figures/Tables 8

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Table 1

References 36

1	RATNOO A， GHOSE D. Impact angle constrained interception of stationary targets［J］. Journal of Guidance， Control， and Dynamics， 2008， 31（6）： 1817-1822.
2	SEO M G， LEE C H， TAHK M J. New design methodology for impact angle control guidance for various missile and target motions［J］. IEEE Transactions on Control Systems Technology， 2018， 26（6）： 2190-2197.
3	黎克波，廖选平，梁彦刚，等. 基于纯比例导引的拦截碰撞角约束制导策略［J］. 航空学报， 2020， 41（S2）： 724277.
	LI K B， LIAO X P， LIANG Y G， et al. Guidance strategy with impact angle constraint based on pure proportional navigation［J］. Acta Aeronautica et Astronautica Sinica， 2020， 41（S2）： 724277 （in Chinese）.
4	KIM J， CHO N， KIM Y. Field-of-view-constrained impact angle control guidance with error convergence before interception considering speed changes［J］. Proceedings of the Institution of Mechanical Engineers， Part G： Journal of Aerospace Engineering， 2021， 235（2）： 238-256.
5	刘子超，王江，何绍溟，等. 基于预测校正的落角约束计算制导方法［J］. 航空学报， 2022， 43（8）： 325443.
	LIU Z C， WANG J， HE S M， et al. A computational guidance algorithm for impact angle control based on predictor-corrector concept［J］. Acta Aeronautica et Astronautica Sinica， 2022， 43（8）： 325443 （in Chinese）.
6	HE S M， LEE C H. Optimality of error dynamics in missile guidance problems［J］. Journal of Guidance， Control， and Dynamics， 2018， 41（7）： 1624-1633.
7	李晨迪，王江，李斌，等. 过虚拟交班点的能量最优制导律［J］. 航空学报， 2019， 40（12）： 323249.
	LI C D， WANG J， LI B， et al. Energy-optimal guidance law with virtual hand-over point［J］. Acta Aeronautica et Astronautica Sinica， 2019， 40（12）： 323249 （in Chinese）.
8	JI H B， LIU X D， SONG Z Y， et al. Time-varying sliding mode guidance scheme for maneuvering target interception with impact angle constraint［J］. Journal of the Franklin Institute， 2018， 355（18）： 9192-9208.
9	盛永智，甘佳豪，张成新. 弹道可调的落角约束分数阶滑模制导律设计［J］. 航空学报， 2023， 44（7）： 327073.
	SHENG Y Z， GAN J H， ZHANG C X. Fractional order sliding mode guidance law design with trajectory adjustable and terminal angular constraint［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（7）： 327073 （in Chinese）.
10	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.
11	CHO N， KIM Y. Modified pure proportional navigation guidance law for impact time control［J］. Journal of Guidance， Control， and Dynamics， 2016， 39（4）： 852-872.
12	DONG W， WANG C Y， WANG J N， et al. Varying-gain proportional navigation guidance for precise impact time control［J］. Journal of Guidance， Control， and Dynamics， 2023， 46（3）： 535-552.
13	TEKIN R， ERER K S， HOLZAPFEL F. Impact time control with generalized-polynomial range formulation［J］. Journal of Guidance， Control， and Dynamics， 2018， 41（5）： 1190-1195.
14	刘远贺，黎克波，何绍溟，等. 基于最优误差动力学的变速导弹飞行路程控制制导律［J］. 航空学报， 2023， 44（7）： 326909.
	LIU Y H， LI K B， HE S M， et al. Flying range control guidance for varying-speed missiles based on optimal error dynamics［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（7）： 326909 （in Chinese）.
15	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.
16	ZHANG Y A， MA G X， LIU A L. Guidance law with impact time and impact angle constraints［J］. Chinese Journal of Aeronautics， 2013， 26（4）： 960-966.
17	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）.
18	CHEN X T， WANG J Z. Optimal control based guidance law to control both impact time and impact angle［J］. Aerospace Science and Technology， 2019， 84： 454-463.
19	SONG J H， SONG S M， XU S L. Three-dimensional cooperative guidance law for multiple missiles with finite-time convergence［J］. Aerospace Science and Technology， 2017， 67： 193-205.
20	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 Systems， 2021， 57（2）： 806-819.
21	YOU H， CHANG X L， ZHAO J F， et al. Three-dimensional impact-angle-constrained cooperative guidance strategy against maneuvering target［J］. ISA Transactions， 2023， 138： 262-280.
22	ZHOU C， YAN X D， BAN H H， et al. Generalized-newton-iteration-based MPSP method for terminal constrained guidance［J］. IEEE Transactions on Aerospace and Electronic Systems， 2023， 59（6）： 9438-9450.
23	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 Systems， 2024， 60（1）： 405-420.
24	WANG P Y， LEE C H， LIU Y H， et al. Nonlinear three-dimensional guidance for impact time and angle control with field-of-view constraint［J］. IEEE Transactions on Aerospace and Electronic Systems， 2024， 60（1）： 264-279.
25	WANG C Y， WANG W L， DONG W， et al. Multiple-stage spatial-temporal cooperative guidance without time-to-go estimation［J］. Chinese Journal of Aeronautics， 2024， 37（9）： 399-416.
26	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.
27	KANG S， TEKIN R， HOLZAPFEL F. Generalized impact time and angle control via look-angle shaping［J］. Journal of Guidance， Control， and Dynamics， 2018， 42（3）： 695-702.
28	KIM T H， LEE C H， JEON I S， et al. Augmented polynomial guidance with impact time and angle constraints［J］. IEEE Transactions on Aerospace and Electronic Systems， 2013， 49（4）： 2806-2817.
29	HOU L B， LUO H W， SHI H， et al. An optimal geometrical guidance law for impact time and angle control［J］. IEEE Transactions on Aerospace and Electronic Systems， 2023， 59（6）： 9821-9830.
30	HU Q L， HAN T， XIN M. New impact time and angle guidance strategy via virtual target approach［J］. Journal of Guidance， Control， and Dynamics， 2018， 41（8）： 1755-1765.
31	WANG C Y， YU H S， DONG W， et al. Three-dimensional impact angle and time control guidance law based on two-stage strategy［J］. IEEE Transactions on Aerospace and Electronic Systems， 2022， 58（6）： 5361-5372.
32	WANG C Y， DONG W， WANG J N， et al. Impact-angle-constrained cooperative guidance for salvo attack［J］. Journal of Guidance， Control， and Dynamics， 2022， 45（4）： 684-703.
33	TEKIN R. Augmented plane pursuit for impact-angle control in three dimensions［J］. Journal of Guidance， Control， and Dynamics， 2022， 45（9）： 1769-1775.
34	李斌，林德福，何绍溟，等. 基于最优误差动力学的时间角度控制制导律［J］. 航空学报， 2018， 39（11）： 322215.
	LI B， LIN D F， HE S M， et al. Time and angle control guidance law based on optimal error dynamics［J］. Acta Aeronautica et Astronautica Sinica， 2018， 39（11）： 322215 （in Chinese）.
35	CHEN Y， WU S F， WANG X L. Impact time and angle control optimal guidance with field-of-view constraint［J］. Journal of Guidance， Control， and Dynamics， 2022， 45（12）： 2369-2378.
36	CHEN X T， WANG J Z. Sliding-mode guidance for simultaneous control of impact time and angle［J］. Journal of Guidance， Control， and Dynamics， 2019， 42（2）： 394-401.

性能指标	OTACG		ITACG		SMG		STG
性能指标	t_d=60 s	t_d=90 s	t_d=60 s	t_d=90 s	t_d=60 s	t_d=90 s	t_d=60 s	t_d=90 s
时间误差/s	-5×10^-3	脱靶	-5×10^-3	脱靶	-3×10^-2	-3×10^-2	-6×10^-3	-5×10^-3
角度误差/（°）	-7×10^-2	脱靶	-3×10^-2	脱靶	4×10^-1	7×10^-1	-1×10^-7	-3×10^-8
控制能量/（10⁴ m²·s^-3）	2.77	脱靶	2.41	脱靶	1.75	2.41	1.62	4.18

[1]	Haowen LUO, Shaoming HE, Tianyu JIN, Zichao LIU. Impact-angle-constrained with time-minimum guidance algorithm based on transfer learning [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(19): 328400-328400.
[2]	LIU Zichao, WANG Jiang, HE Shaoming, LI Yufei. A computational guidance algorithm for impact angle control based on predictor-corrector concept [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 325433-325433.
[3]	LI Kebo, LIAO Xuanping, LIANG Yan'gang, LI Chaoyong, CHEN Lei. Guidance strategy with impact angle constraints based on pure proportional navigation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(S2): 724277-724277.
[4]	ZHANG Kuanqiao, YANG Suochang, LI Baochen, LIU Chang. Fixed-time convergent guidance law considering autopilot dynamics [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(11): 323227-323227.
[5]	LI Yuan, YAN Liang, ZHAO Jiguang, CHEN Jingpeng. Method of time-to-go estimation for head-pursuit interception mode [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(9): 3082-3091.
[6]	ZHAO Qilun, CHEN Jian, LI Qingdong, REN Zhang, LI Liang. Feasible region of hypersonic and ballistic missiles' cooperative attack strategy [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(7): 2291-2300.
[7]	ZHANG Youan, HUANG Jie, SUN Yangping. Generalized Weighted Optimal Guidance Laws with Impact Angle Constraints [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(3): 848-856.
[8]	HU Xijing, HUANG Xuemei. Three-dimensional Circular Guidance Law with Impact Angle Constraints [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, (3): 508-519.
[9]	Cui Naigang;Wei Changzhu;Guo Jifeng. Flight Time Margin of Missile Cooperative Engagement [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2010, 31(7): 1351-1359.

Design of guidance law with precise impact angle and time control

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