临近空间高超声速飞行器快时变机动模型及轨迹预报

doi:10.12305/j.issn.1001-506X.2025.01.25

Abstract

Abstract:

Regarding the trajectory tracking and trajectory prediction of near space hypersonic targets with fast time-varying maneuver properties, based on the existing motion model for slowly time-varying maneuvering targets, a state quantity describing the characteristics of fast time-varying maneuvers is introduced to establish a nonlinear model for maneuvering target tracking, firstly. It is proved that the nonlinear tracking filter system based on this model is observable. Secondly, aiming at this system, a hybrid continuous-discrete measurement interpolation fast convergence generalized Kalman filter is proposed. A target maneuvering pattern recognition method based on cluster analysis is also proposed, and a predictor based on target maneuvering pattern recognition is designed. Simulation results show that for near space hypersonic vehicle performing fast time-varying maneuvers, the maneuver model proposed can obtain good tracking and prediction results.

Key words: near space, hypersonic vehicle, fast time-varying maneuver model, cluster analysis, trajectory prediction

CLC Number:

V448.15

Jinzhao ZHU, Di ZHOU, Xiaobo CHEN, Mingchun CAI. Fast time-varying maneuver model and trajectory prediction of near space hypersonic vehicle[J]. Systems Engineering and Electronics, 2025, 47(1): 244-253.

Figures/Tables 10

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Table 1

Fig.9

References 30

1	李宏宇, 尹童, 敦晓彪. 临近空间高超声速武器发展概况与防御体系研究[J]. 现代防御技术, 2022, 50 (6): 1- 10.
	LI H Y , YIN T , DUN X B . Overview of hypersonic weapon development and defense system research in near space[J]. Modern Defense Technology, 2022, 50 (6): 1- 10.
2	赵良玉, 雍恩米, 王波兰. 反临近空间高超声速飞行器若干研究进展[J]. 宇航学报, 2020, 41 (10): 1239- 1250. doi: 10.3873/j.issn.1000-1328.2020.10.001
	ZHAO L Y , YONG E M , WANG B L . Some achievements on interception of near space hypersonic vehicles[J]. Journal of Astronautics, 2020, 41 (10): 1239- 1250. doi: 10.3873/j.issn.1000-1328.2020.10.001
3	YONG H P , SEO J H , LEE J G . Tracking using the variable-dimension filter with input estimation[J]. IEEE Trans.on Aero- space and Electronic Systems, 1995, 31 (1): 399- 408. doi: 10.1109/7.366321
4	PARK S T , LEE J G . Design of practical tracking algorithm with radar tracking[J]. IEEE Trans.on Aerospace and Electronic Systems, 1998, 34 (4): 1337- 1344. doi: 10.1109/7.722718
5	IZANLOO R, FAKOORIAN S A, YAZDI H S, et al. Kalman filtering based on the maximum correntropy criterion in the pre-sence of non-Gaussian noise[C]//Proc. of the Annual Confe-rence on Information Science and Systems, 2016: 500-505.
6	CHEN B D , LIU X , ZHAO H Q , et al. Maximum correntropy Kalman filter[J]. Automatica, 2017, 76, 70- 77. doi: 10.1016/j.automatica.2016.10.004
7	CHEN Y M , LI W , DU Y X . A novel robust adaptive Kalman filter with application to urban vehicle integrated navigation systems[J]. Measurement, 2024, 236, 114844. doi: 10.1016/j.measurement.2024.114844
8	LAN J , LI X R , MU C D . Best model augmentation for variable-structure multiple-model estimation[J]. IEEE Trans.on Aerospace and Electronic Systems, 2011, 47 (3): 2008- 2025. doi: 10.1109/TAES.2011.5937279
9	张君彪, 熊家军, 兰旭辉, 等. 基于自适应滤波的高超声速滑翔目标三维跟踪算法[J]. 系统工程与电子技术, 2022, 44 (2): 628- 636. doi: 10.12305/j.issn.1001-506X.2022.02.33
	ZHANG J B , XIONG J J , LAN X H , et al. 3D tracking algorithm of hypersonic gliding target based on adaptive filtering[J]. Systems Engineering and Electronics, 2022, 44 (2): 628- 636. doi: 10.12305/j.issn.1001-506X.2022.02.33
10	LI X R , JILKOV V P . Survey of maneuvering target tracking. Part Ⅰ: dynamic models[J]. IEEE Trans.on Aerospace and Electronic System, 2003, 39 (4): 1333- 1364. doi: 10.1109/TAES.2003.1261132
11	LI X R , JILKOV V P . Survey of maneuvering target tracking. Part Ⅱ: motion models of ballistic and space targets[J]. IEEE Trans.on Aerospace and Electronic System, 2010, 46 (1): 96- 119. doi: 10.1109/TAES.2010.5417150
12	HUANG J S, ZHANG H B, TANG G J. Radar tracking for hypersonic glide vehicle based on aerodynamic model[C]//Proc. of the 29th Chinese Control and Decision Conference, 2017: 1080-1084.
13	HU G G , NI L Q , GAO B , et al. Model predictive based unscented Kalman filter for hypersonic vehicle navigation with INS/GNSS integration[J]. IEEE Access, 2020, 8, 4814- 4823. doi: 10.1109/ACCESS.2019.2962832
14	DENG F , CHEN J , CHEN C . Adaptive unscented Kalman filter for parameter and state estimation of nonlinear high-speed objects[J]. Journal of Systems Engineering and Electronics, 2013, 24 (4): 655- 665. doi: 10.1109/JSEE.2013.00076
15	LUO Q H , LI S H , YAN X Z , et al. An improved two-phase robust distributed Kalman filter[J]. Signal Processing, 2024, 220, 109438. doi: 10.1016/j.sigpro.2024.109438
16	HU G G , XU L Y , GAO B B , et al. Robust unscented Kalman filter-based decentralized multisensor information fusion for INS/GNSS/CNS integration in hypersonic vehicle navigation[J]. IEEE Trans.on Instrumentation and Measurement, 2023, 72, 8504011.
17	HUANG J S , ZHANG H B , TANG G J . Robust UKF-based filtering for tracking a maneuvering hypersonic glide vehicle[J]. Journal of Aerospace Engineering, 2022, 236 (11): 2162- 2178.
18	KWON B K, HAN S. A robust extended Kalman filtering for linea- rization errors[C]//Proc. of the 15th International Conference on Control, Automation and Systems, 2015: 1485-1487.
19	ZORZI M . Robust Kalman filtering under model perturbations[J]. IEEE Trans.on Automatic Control, 2017, 62 (6): 2902- 2907. doi: 10.1109/TAC.2016.2601879
20	ZHANG K, GUO Z Y. Neural predictor-corrector guidance based on optimized trajectory[C]//Proc. of the IEEE Chinese Guidance, Navigation and Control Conference, 2014: 523-528.
21	ZENG K, ZHUANG X B, XIE Y F, et al. Hypersonic vehicle trajectory classification using improved CNN-LSTM model[C]//Proc. of the IEEE International Conference on Unmanned Systems, 2021: 691-696.
22	SUN L H, YANG B Q, MA J. A trajectory prediction algorithm for HFVs based on LSTM[C]//Proc. of the 40th Chinese Control Conference, 2021: 7927-7931.
23	郑天宇. 基于循环神经网络的临近空间高超声速目标航迹估计与预报[D]. 哈尔滨: 哈尔滨工业大学, 2020.
	ZHNEG T Y. Trajectory estimation and prediction for near space hypersonic targets via recurrent neural networks[D]. Harbin: Harbin Institute of Technology, 2020.
24	吉瑞萍, 张程祎, 梁彦, 等. 基于LSTM的弹道导弹主动段轨迹预报[J]. 系统工程与电子技术, 2022, 44 (6): 1968- 1976.
	JI R P , ZHANG C Y , LIANG Y , et al. Trajectory prediction of boost-phase ballistic based on LSTM[J]. Systems Engineering and Electronics, 2022, 44 (6): 1968- 1976.
25	BARTUSIAK E R, JACOBS M A, SPELLS C F, et al. Transfer learning for hypersonic vehicle trajectory prediction[C]//Proc. of the IEEE Aerospace Conference, 2023.
26	DARIO G L , GAETANO T , FRANCESCO C , et al. Long short-term memory-based neural networks for missile maneuvers trajectories prediction[J]. IEEE Access, 2023, 11, 30819- 30831. doi: 10.1109/ACCESS.2023.3262023
27	LI Y K , LOU J X , TAN X S , et al. Adaptive kernel learning Kalman filtering with application to model-free maneuvering target tracking[J]. IEEE Access, 2022, 10, 78088- 78101. doi: 10.1109/ACCESS.2022.3193101
28	ZHANG K, ZHUANG X B, XIE Y F. Hypersonic vehicle tra-jectory classification using improved CNN-LSTM mode[C]//Proc. of the IEEE International Conference on Unmanned Systems, 2021: 691-696.
29	张博伦, 周荻, 吴世凯. 临近空间高超声速飞行器机动模型及弹道预测[J]. 系统工程与电子技术, 2019, 41 (9): 2072- 2079.
	ZHANG B L , ZHOU D , WU S K . Maneuver model and trajectory prediction of near space hypersonic aircraft[J]. Systems Engineering and Electronics, 2019, 41 (9): 2072- 2079.
30	HERMANN R , KRENER A . Nonlinear controllability and observability[J]. IEEE Trans.on Automatic Control, 1977, 22 (5): 728- 740. doi: 10.1109/TAC.1977.1101601

算法	300次蒙特卡罗仿真预报误差均值/m	300次蒙特卡罗仿真预报方差/m²	跟踪算法计算时间/ms	预报算法计算时间/ms
9阶慢时变模型	4 479.96	2.5×10⁶	0.22	0.061
12阶快时变模型	5470.34	1.7×10⁷	0.28	0.051
12阶快时变机动模型且进行量测数据插值	2 439.91	2.4×10⁶	0.30	0.058
Singer	23 263.31	2.2×10⁷	0.17	0.146

[1]	Gang ZHONG, Jiangying ZHOU, Sen DU, Honghai ZHANG, Hao LIU. Short-time trajectory deviation detection method for UAV based on trajectory prediction [J]. Systems Engineering and Electronics, 2024, 46(8): 2696-2708.
[2]	Yuyu ZHAO, Chao SUO, Yuxiao WANG. Differential flatness-based tracking control method for hypersonic vehicle [J]. Systems Engineering and Electronics, 2024, 46(3): 1084-1092.
[3]	Zhenya YANG, Zhi ZHANG, Xiaobing SHANG, Zejun CAO, Zhexuan SUN. Vessel trajectory prediction based on improved multi-output support vector [J]. Systems Engineering and Electronics, 2024, 46(1): 173-181.
[4]	Wanyan HUANG, Wanhe DU, Shuzhen YANG, Tao YU. Trajectory prediction algorithm based on improved polynomial curve fitting [J]. Systems Engineering and Electronics, 2024, 46(1): 280-289.
[5]	Botao SONG, Guangliang XU. Missile trajectory prediction method based on LSTM and 1DCNN [J]. Systems Engineering and Electronics, 2023, 45(2): 504-512.
[6]	Mingjie LI, Chijun ZHOU, Humin LEI, Lei SHAO, Changxin LUO. An intelligent trajectory prediction algorithm of reentry glide target based on control parameter estimation [J]. Systems Engineering and Electronics, 2023, 45(1): 221-233.
[7]	Guan WANG, Haizhong RU, Dali ZHANG, Guangcheng MA, Hongwei XIA. Design of intelligent control system for flexible hypersonic vehicle [J]. Systems Engineering and Electronics, 2022, 44(7): 2276-2285.
[8]	Ruiping JI, Chengyi ZHANG, Yan LIANG, Yuedong WANG. Trajectory prediction of boost-phase ballistic missile based on LSTM [J]. Systems Engineering and Electronics, 2022, 44(6): 1968-1976.
[9]	Yajie XU, Yong XIAN, Bangjie LI, Leliang REN, Shaopeng LI, Weilin GUO. Method for improving the precision of hypersonic vehicle inertial navigation system based on neural network [J]. Systems Engineering and Electronics, 2022, 44(4): 1301-1309.
[10]	Junbao WEI, Haiyan LI, Jing LI. Novel backstepping control for hypersonic vehicle with angle of attack constraint [J]. Systems Engineering and Electronics, 2022, 44(4): 1310-1317.
[11]	Tong AN, Peng WANG, Jianhua WANG, Guojian TANG, Yulong PAN, Haishan CHEN. Integrated guidance and control schemes for dynamic surface of flexible hypersonic vehicles [J]. Systems Engineering and Electronics, 2022, 44(3): 956-966.
[12]	Junbiao ZHANG, Jiajun XIONG, Xuhui LAN, Fan LI, Wenjian LIU, Qiushi XI. 3D tracking algorithm of hypersonic gliding target based on adaptive filtering [J]. Systems Engineering and Electronics, 2022, 44(2): 628-636.
[13]	Caihong YUE, Shengjing TANG, Jie GUO, Xiao WANG, Haoqiang ZHANG. Reentry trajectory rapid optimization for hypersonic telescopic deformable vehicle [J]. Systems Engineering and Electronics, 2021, 43(8): 2232-2243.
[14]	Jianguo GUO, Yalu SU. Control system design of adaptive dynamic programming for hypersonic vehicle [J]. Systems Engineering and Electronics, 2021, 43(6): 1628-1635.
[15]	Lei XIE, Dali DING, Zhenglei WEI, Andi TANG, Peng ZHANG. Real time prediction of maneuver trajectory for AdaBoost-PSO-LSTM network [J]. Systems Engineering and Electronics, 2021, 43(6): 1651-1658.

Fast time-varying maneuver model and trajectory prediction of near space hypersonic vehicle

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 10

References 30

Related Articles 15

Recommended Articles

Metrics

Comments