基于可达区在线预测的GPI中制导协同拦截策略

王鹏; 赵石磊; 陈万春

doi:10.13700/j.bh.1001-5965.2022.0856

基于可达区在线预测的GPI中制导协同拦截策略

doi: 10.13700/j.bh.1001-5965.2022.0856

王鹏¹,
赵石磊^{1, 2},
陈万春^1, ,

1.
北京航空航天大学宇航学院，北京 100191
2.
北京控制与电子技术研究所，北京 100038

详细信息

通讯作者:
E-mail：wanchun_chen@buaa.edu.cn

中图分类号: V448.232；TJ765.3
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- 被引次数: 0
出版历程
- 收稿日期: 2022-10-30
- 录用日期: 2023-02-10
- 网络出版日期: 2023-03-15
- 整期出版日期: 2024-11-30

Cooperative interception strategy for midcourse guidance of GPI based on online prediction of reachable area

WANG Peng¹,
ZHAO Shilei^{1, 2},
CHEN Wanchun^{1
, ,}

1.
School of Astronautics，Beihang University，Beijing 100191，China
2.
Beijing Institute of Control and Electronic Technology，Beijing 100038，China

More Information

Corresponding author: E-mail：wanchun_chen@buaa.edu.cn

摘要

摘要:
针对临近空间高超声速滑翔目标防御中存在目标机动能力强、机动意图不明确的问题，提出一种基于可达区在线预测的滑翔段拦截器(GPI)中制导协同拦截策略。基于滑翔弹道解析解给出针对目标横程机动的可达区在线预测方法。利用多项式拟合和反向传播(BP)神经网络给出GPI标控弹道的纵程可达区在线预测方法，并利用弹道解析解进一步给出拦截弹的横程可达区在线预测方法。通过对目标和拦截弹可达区在线预测，引入多弹协同思想，实现拦截弹可达区对目标可达区的覆盖，完成协同拦截策略的设计。拦截仿真分析表明：所提协同拦截策略可有效应对目标的倾侧反转机动。
- 滑翔段拦截器 /
- 滑翔机动解析解 /
- 可达区在线预测 /
- 协同拦截策略 /
- 可达区覆盖
Abstract:
To address the challenges of intercepting a hypersonic glide target in near space with significant maneuverability but ambiguous maneuver intention, this paper proposes a cooperative interception strategy for the midcourse guidance phase of a gliding phase interceptor (GPI), based on online prediction of an accessible area. First, based on the analytical solution of gliding trajectory, the online estimation method of lateral reach area is given. Next, polynomial fitting and back propagation (BP) neural network are used to offer an online strategy for GPI that predicts the area of reachable range under normal effort. The analytical solution is used to estimate the lateral reachable area. Finally, the interception arc and firing data can be determined under the concept of cooperative interception. Interception simulation and analysis verify that the cooperative interception strategy can effectively deal with the reversal maneuver of a hypersonic gliding target.
- glide phase interceptor /
- analytical solution of gliding maneuver /
- online prediction of reachable area /
- cooperative interception strategy /
- reachable area coverage

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图 1 坐标系关系

Figure 1. Relationship between coordinate systems

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图 2 目标弹道曲线

Figure 2. Target trajectory

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图 3 东向再入弹道的横程机动可达区

Figure 3. Transverse range manoeuvre reachable area of east reentry trajectory

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图 4 GPI外形图

Figure 4. GPI outline drawing

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图 5 GPI推力示意图

Figure 5. Schematic diagram of GPI thrust

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图 6 ZEM与GNEM示意图

Figure 6. Schematic diagram of ZEM and GNEM

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图 7 标控弹道族

Figure 7. Trajectory cluster of normal effort

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图 8 纵程可达区

Figure 8. longitudinal reachable area

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图 9 纵向可达区拟合结果

Figure 9. Fitting result of longitudinal reachable area

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图 10 BP神经网络结构

Figure 10. Structure of BP neural network

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图 11 脉冲间隔时间及第2级关机弹道倾角的拟合结果

Figure 11. Fitting error results of pulse interval and flight angle of the second stage shutdown machine

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图 12 横程机动能力解析预测与数值仿真结果的对比

Figure 12. Comparison of analytical predictions and numerical simulation results of traverse maneuver

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图 13 基于目标横程机动可达区域覆盖的协同拦截示意图

Figure 13. Diagram of cooperative interception based on target's traverse maneuverable reachable area

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图 14 计算拦截弧段示意图

Figure 14. Calculate the schematic diagram of intercept arc

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图 15 拦截弧段计算流程

Figure 15. Flow of intercept arc calculation

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图 16 协同拦截策略流程

Figure 16. Flow of collaborative interception strategy

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图 17 目标和拦截弹的弹道（场景 1）

Figure 17. Target and interceptor trajectories (Case 1)

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图 18 目标和拦截弹速度曲线（场景 1）

Figure 18. Target and interceptor velocity (Case 1)

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图 19 目标和拦截弹的弹道（场景 2）

Figure 19. Target and interceptor trajectories (Case 2)

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图 20 目标和拦截弹速度曲线（场景 2）

Figure 20. Target and interceptor velocity (Case 2)

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图 21 目标和拦截弹的弹道（场景 3）

Figure 21. Target and interceptor trajectories (Case 3)

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图 22 拦截弹的攻角和侧滑角曲线（场景 3）

Figure 22. Interceptor AOA and sideslip angle (Case 3)

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图 23 拦截态势（场景 3）

Figure 23. Intercept situation (Case 3)

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图 24 目标和拦截弹的弹道（场景 4）

Figure 24. Target and interceptor trajectories (Case 4)

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图 25 拦截弹的攻角和侧滑角曲线（场景 4）

Figure 25. Interceptor AOA and sideslip angle (Case 4)

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图 26 拦截态势（场景 4）

Figure 26. Intercept situation (Case 4)

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表 1 目标飞行器再入初始参数

Table 1. Target vehicle reentry initial parameters

${\lambda _0}$/(°)	${H_0}$/km	${\gamma _0}$/(°)	${\alpha _0}$/(°)	${\phi _0}$/(°)	${V_0}$/(m·s⁻¹)	${\psi _0}$/(°)	${\sigma _0}$/(°)
0	80	0	10	40	6500	90,0,−90,−180	40

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表 2 GPI质量推力参数

Table 2. GPI mass and thrust parameters

级数	总质量/kg	燃料质量/kg	推力/kN	工作时间/s
1	2000	329.75	140	6
2	1600	180.0	60.059	8
2	1600	520.0	39.665	35
3	700	250.0	23.423	20
3	700	250.0	23.423	20

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表 3 控制变量的上下界

Table 3. Upper and lower bounds of control variables

变量范围	$ {\gamma _{2{\rm{f}}}} $/（°）	${t_{{\text{inter}}}}$/s	${t_{{\text{coast2}}}}$/s
下界	30	40	20
上界	40	200	150

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表 4 脉冲间隔时间及第2级关机弹道倾角的拟合误差统计

Table 4. Fitting error statistics of pulse interval and flight angle of the second stage shutdown machine

统计量	$ {\gamma _{2{\rm{f}}}} $/(°)	${t_{{\text{inter}}}}$/s
最大误差	0.0894	1.0902
平均误差	5.62×10⁻⁵	0.0076
误差的标准差	0.0213	0.1509

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表 5 单弹拦截仿真结果

Table 5. Simulation results of single interception

场景	倾侧反转时刻/s	发射时刻/s	脉冲间隔时间/s	第2脉冲点火时刻/s	拦截时刻/s	无末制导脱靶量/m
1		500/520	82.3/75.5	653.3/665.5	824.2/830.9	601.34/637.82
2	700	500	82.3	653.3	821.6	76142.7

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表 6 多弹协同拦截仿真结果

Table 6. Simulation results of multi-interceptor cooperative interception

场景	倾侧反转时刻/s	仿真结果
场景	倾侧反转时刻/s	拦截弹序号	发射时刻/s	脉冲间隔时间/s	第2脉冲点火时刻/s	拦截时刻/s	无末制导脱靶量/m
3	660	1	500.0	82.3	653.3	820.5	92935.430
		2	593.8	151.9	816.7	870.0	49289.68
		3	593.8	138.8	803.6	866.2	551.95
4	760	1	500.0	82.3	653.3	823.5	21183.95
		2	593.8	119.6	784.4	872.1	55.40
		3	593.8	137.8	802.6	871.7	113804.54

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