有限过载的三维现实真比例导引的捕获区域

doi:10.12305/j.issn.1001-506X.2022.03.31

Abstract

Abstract:

In view of the transition state of intermediate and terminal guidance of interceptor, the capture region of interceptor under the condition of finite overload with realistic true proportional navigation and the influencing factors of the capture region are analyzed. Firstly, the rotation coordinate system of the line of sight is introduced, and the relative motion model of the interceptor and the target in the terminal guidance section is established. Secondly, it analyzes the performance of the three dimensional (3D) realistic true proportional guidance law is analyzed, and the Lyapunov stability of the line-of-sight rotation angular velocity is judged. Then, under the conditions of the 3D realistic true proportional guidance law, the interceptor with limited overload intercepts the 3D maneuvering target, and the capture area is deduced and proved to obtain the necessary conditions for successful capture. Finally, through simulation experiments in three situations, the effectiveness of the capture area in this paper is verified, and on this basis, the influencing factors of the capture area are analyzed.

Key words: capture area, realistic true proportional guidance law, Lyapunov stability, limited overload, three-dimensional maneuver

CLC Number:

TJ765

Jinlin ZHANG, Jiong LI, Humin LEI, Wanli LI, Xiao TANG. Capture region of 3D realistic true proportional navigation with finite overload[J]. Systems Engineering and Electronics, 2022, 44(3): 986-997.

Figures/Tables 23

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References 34

1	LI H Y , HE S M , WANG J , et al. Near-optimal midcourse gui-dance for velocity maximization with constrained arrival angle[J]. Journal of Guidance, Control, and Dynamics, 2021, 44 (1): 172- 180. doi: 10.2514/1.G005250
2	ANN S J , LEE S K , KIM Y D , et al. Midcourse guidance for exoatmospheric interception using response surface based trajectory shaping[J]. IEEE Trans.on Aerospace and Electronic Systems, 2020, 56 (5): 3655- 3673. doi: 10.1109/TAES.2020.2976084
3	NA H , LEE Y I , LEE J I . Midcourse guidance strategy for multistage interceptors with coasting phase[J]. Journal of Guidance, Control, and Dynamics, 2020, 43 (9): 1711- 1722. doi: 10.2514/1.G005059
4	ZHOU J , LEI H M , ZHANG D Y . Online optimal midcourse tra-jectory modification algorithm for hypersonic vehicle interceptions[J]. Aerospace Science and Technology, 2017, 63, 266- 277. doi: 10.1016/j.ast.2016.12.022
5	LEI H M , ZHOU J , ZHAI D L , et al. Optimal midcourse tra-jectory cluster generation and trajectory modification for hypersonic interceptions[J]. Journal of Systems Engineering and Electronics, 2017, 28 (6): 1162- 1173. doi: 10.21629/JSEE.2017.06.14
6	王华吉, 雷虎民, 张大元, 等. 反临近空间高超声速目标拦截弹中末制导交接班窗口[J]. 国防科技大学学报, 2018, 40 (5): 1- 8.
	WANG H J , LEI H M , ZHANG D Y , et al. Midcourse and terminal guidance handover window for interceptor against near space hypersonic target[J]. Journal of National University of Defense Technology, 2018, 40 (5): 1- 8.
7	LI L Y , FAN C L , XING Q H , et al. Optimal index shooting policy for layered missile defense system[J]. Journal of Systems Engineering and Electronics, 2020, 31 (1): 118- 129.
8	XIAO J Z , MING Y L , YANG L I . Impact angle control over composite guidance law based on feedback linearization and finite time control[J]. Journal of Systems Engineering and Electro-nics, 2018, 29 (5): 160- 169.
9	FU S N , LIU X D , ZHANG W J , et al. Multiconstraint adaptive three-dimensional guidance law using convex optimization[J]. Journal of Systems Engineering and Electronics, 2020, 31 (4): 791- 803. doi: 10.23919/JSEE.2020.000054
10	YAN P P , FAN Y H , LAN R F , et al. Distributed target-encirclement guidance law for cooperative attack of multiple missiles[J]. Journal of Advanced Robotic Systems, 2020, 17 (3): 172- 187.
11	CHEN Y W , CHEN K Y , FANG Y L . Aiming point guidance algorithm based on proportional navigation guidance scheme[J]. Journal of Control Engineering and Applied Informatics, 2021, 23 (1): 72- 81.
12	BECKER K . Closed-form solution of pure proportional navigation[J]. IEEE Trans.on Aerospace and Electronic Systems, 1990, 26 (3): 526- 533. doi: 10.1109/7.106131
13	OH J H , HA I J . Capturability of the 3-dimensional pure PNG law[J]. IEEE Trans.on Aerospace and Electronic Systems, 1999, 35 (2): 491- 503. doi: 10.1109/7.766931
14	GHAWGHAWE S N , GHOSE D . Pure proportional navigation against time-varying target manoeuvres[J]. IEEE Trans.on Aerospace and Electronic Systems, 1996, 32 (4): 1336- 1347. doi: 10.1109/7.543854
15	FENG T . Capture region of a 3D PPN guidance law for intercepting high-speed targets[J]. Asian Journal of Control, 2012, 14 (5): 1215- 1226. doi: 10.1002/asjc.396
16	周觐, 雷虎民, 侯峰, 等. 拦截高速目标的比例与反比例导引捕获区分析[J]. 宇航学报, 2018, 39 (9): 1002- 1011.
	ZHOU J , LEI H M , HOU F , et al. Capture region analysis of proportional navigation and retro-proportional navigation guidance for hypersonic target interception[J]. Journal of Astronautics, 2018, 39 (9): 1002- 1011.
17	LI K B , SHIN H S , TSOURDOS A , et al. Capturability of 3D PPN against lower-speed maneuvering target for homing phase[J]. IEEE Trans.on Aerospace and Electronic Systems, 2019, 56 (1): 711- 722.
18	廖选平, 黎克波, 刘远贺, 等. 纯比例导引律解析解与三维碰撞角约束制导[J]. 哈尔滨工业大学学报, 2021, 53 (12): 42- 50. doi: 10.11918/202012022
	LIAO X P , LI K B , LIU Y H , et al. Analytical solution of pure proportional navigation law and three-dimensional gui-dance with impact angle constraint[J]. Journal of Harbin Institute of Technology, 2021, 53 (12): 42- 50. doi: 10.11918/202012022
19	GHOSE D . True proportional navigation with maneuvering target[J]. IEEE Trans.on Aerospace and Electronic Systems, 1994, 30 (1): 229- 237. doi: 10.1109/7.250423
20	GUELMAN M . The closed-form solution of true proportional navigation[J]. IEEE Trans.on Aerospace and Electronic Systems, 1976, 12 (4): 472- 482.
21	YUAN P J , CHERN J S . Solutions of true proportional navigation for maneuvering and nonmaneuvering targets[J]. Journal of Guidance, Control, and Dynamics, 1992, 15 (1): 268- 271. doi: 10.2514/3.20828
22	YANG C D , YANG C C . Analytical solution of 3d true proportional navigation[J]. IEEE Trans.on Aerospace and Electronic Systems, 1996, 32 (4): 1509- 1522. doi: 10.1109/7.543873
23	LI K B , LIANG Y G , SU W S , et al. Performance of 3D TPN against true-arbitrarily maneuvering target for exoatmospheric interception[J]. Science China Technological Sciences, 2018, 61 (8): 1161- 1174. doi: 10.1007/s11431-018-9310-5
24	DHAR A , GHOSE D . Capture region for a realistic TPN gui-dance law[J]. IEEE Trans.on Aerospace and Electronic Systems, 1993, 29 (3): 995- 1003. doi: 10.1109/7.220946
25	YANG C D , YANG C C . Analytical solution of three-dimensional realistic true proportional navigation[J]. Journal of Guidance, Control, and Dynamics, 1996, 19 (3): 569- 577. doi: 10.2514/3.21659
26	周觐, 雷虎民. 真比例导引反高速目标拦截能力分析[J]. 系统工程与电子技术, 2018, 40 (10): 2296- 2304. doi: 10.3969/j.issn.1001-506X.2018.10.21
	ZHOU J , LEI H M . Interception capability analysis of the true proportional navigation guidance against hypersonic targets[J]. Systems Engineering and Electronics, 2018, 40 (10): 2296- 2304. doi: 10.3969/j.issn.1001-506X.2018.10.21
27	LI K B , SU W S , CHEN L . Performance analysis of realistic true proportional navigation against maneuvering targets using Lyapunov-like approach[J]. Aerospace Science and Technology, 2017, 69, 333- 341. doi: 10.1016/j.ast.2017.06.036
28	白志会, 黎克波, 苏文山, 等. 现实真比例导引拦截任意机动目标捕获区域[J]. 航空学报, 2020, 41 (8): 338- 348.
	BAI Z H , LI K B , SU W S , et al. Real proportion guidance and interception of any maneuverable target capture area[J]. Journal of Aeronautics, 2020, 41 (8): 338- 348.
29	TYAN F. The capture region of a general 3D TPN guidance law for missile and target with limited maneuverability[C]//Proc. of the American Control Conference, 2001: 512-517.
30	TYAN F . Unified approach to missile guidance laws: a 3d extension[J]. IEEE Trans.on Aerospace and Electronic Systems, 2005, 41 (4): 1178- 1199. doi: 10.1109/TAES.2005.1561882
31	YUAN P J , CHERN J S . Ideal proportional navigation[J]. Journal of Guidance, Control, and Dynamics, 1992, 15 (5): 1161- 1165. doi: 10.2514/3.20964
32	LI K B , ZHANG T T , CHEN L . Ideal proportional navigation for exoatmospheric interception[J]. Chinese Journal of Aeronautics, 2013, 26 (4): 976- 985. doi: 10.1016/j.cja.2013.06.007
33	TYAN F . Capture region of a gipn guidance law for missile and target with bounded maneuverability[J]. IEEE Trans.on Aero-space and Electronic Systems, 2011, 47 (1): 201- 213. doi: 10.1109/TAES.2011.5705670
34	李万礼, 李炯, 雷虎民, 等. 基于滑模变结构制导律的捕获区分析[J]. 系统工程与电子技术, 2021, 43 (11): 3321- 3329. doi: 10.12305/j.issn.1001-506X.2021.11.33
	LI W L , LI J , LEI H M , et al. Analysis of capture zone based on sliding mode variable structure guidance law[J]. Systems Enginee-ring and Electronics, 2021, 43 (11): 3321- 3329. doi: 10.12305/j.issn.1001-506X.2021.11.33

符号	物理意义	数值
r₀/km	拦截器捕获目标初始距离	100
v_{r_Imp}/(km·s^-1)	容许碰撞速度	-4
r_Miss/m	容许脱靶量	0.1
α_{m max}/g	拦截器饱和机动加速度	6
α_r/g	目标在e_r上的加速度上限	1
α_θ/g	目标在e_θ上的加速度上限	2

导航比N	终端脱靶量/m
2.7	62.753 1
4.1	0.011 65
5.5	0.019 66

导航比N	终端脱靶量/m
2.7	364.728 4
4.1	237.351 3
5.5	237.351 3

符号	数值
r₀/km	30
v_{r_Imp}/(km·s^-1)	-1.5

导航比N	终端脱靶量/m
2.7	53.904 3
3.9	0.081 18
5.1	0.089 26

Capture region of 3D realistic true proportional navigation with finite overload

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变量	数值
r₀/km	80	100	120
v_{r_Imp}/(km·s^-1)	3.5	4	4.50
r_Miss/m	0.1	0.2	0.25
α_{m max}/g	5	6	7
α_r/g	0	1	2
α_θ/g	0	1	2

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