On-line trajectory generation of midcourse cooperative guidance for multiple interceptors

doi:10.23919/JSEE.2022.000020

Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (1): 197-209.doi: 10.23919/JSEE.2022.000020

收稿日期:2020-06-23 出版日期:2022-01-18 发布日期:2022-02-22

On-line trajectory generation of midcourse cooperative guidance for multiple interceptors

Wenyu CHEN*(), Lei SHAO, Humin LEI()

¹ Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China

Received:2020-06-23 Online:2022-01-18 Published:2022-02-22
Contact: Wenyu CHEN E-mail:lorilouto_cwy@163.com;hmleinet@21cn.com
About author:|CHEN Wenyu was born in 1996. He is a docto-ral degree candidate in the Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His research interests are hyperso-nic vehicle controller design and hypersonic interception strategy. E-mail: lorilouto_cwy@163.com||SHAO Lei was born in 1982. He is now an associate professor in the Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His current research interests include advanced guidance law design, hypersonic vehicle controller design and hypersonic interception strategy. E-mail: shaolei_zj@163.com||LEI Humin was born in 1960. He received his M.S. and Ph.D. degrees from Northwestern Polytechnical University, in 1989 and 1999 respectively. He is now a professor and a supervisor of doctors in the Air and Missile Defense College, Air Force Engineering University, Xi’an, China. His current research interests include advanced guidance law design, hypersonic vehicle controller design and hypersonic interception strategy. E-mail: hmleinet@21cn.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61873278)

摘要/Abstract

Abstract:

The cooperative interception trajectories generation of multiple interceptors to hypersonic targets is studied. First, to solve the problem of on-line trajectory generation of the single interceptor, a generation method based on neighborhood optimal control is adopted. Then, when intercepting the strong maneuvering targets, the single interceptor is insufficient in maneuverability, therefore, an on-line multiple trajectories generation algorithm is proposed, which uses the multiple interceptors intercept area (IIA) to cover the target’s predicted intercept area (PIA) cooperatively. Through optimizing the interceptors’ zero control terminal location, the trajectories are generated on-line by using the neighborhood optimal control method, these trajectories could make the IIA maximally cover the PIA. The simulation results show that the proposed method can greatly improve the interception probability, which provides a reference for the collaborative interception of multiple interceptors.

Key words: cooperative interception, trajectories generation, near space

. [J]. Journal of Systems Engineering and Electronics, 2022, 33(1): 197-209.

Wenyu CHEN, Lei SHAO, Humin LEI. On-line trajectory generation of midcourse cooperative guidance for multiple interceptors[J]. Journal of Systems Engineering and Electronics, 2022, 33(1): 197-209.

图/表 20

参考文献 30

1	DWIVEDI P N, BHATTACHARYA A, PADHI R Suboptimal midcourse guidance of interceptors for high-speed targets with alignment angle constraint. Journal of Guidance, Control, and Dynamics, 2011, 34 (3): 860- 877. doi: 10.2514/1.50821
2	HALBE O, RAJA R, PADHI R G Robust reentry guidance of a reusable launch vehicle using model predictive static programming. Journal of Guidance, Control, and Dynamics, 2014, 37 (1): 134- 148. doi: 10.2514/1.61615
3	INDIG N, BEN-ASHER J Z, FARBER N Near optimal spatial midcourse guidance law with angular constraint. Journal of Guidance, Control, and Dynamics, 2014, 37 (1): 214- 223. doi: 10.2514/1.60356
4	INDIG N, BEN-ASHER J Z, SIGAL E Near-optimal minimum time guidance under a spatial angular constraint in atmospheric flight. Proc. of the AIAA Guidance, Navigation, and Control Conference, 2015, 5- 9.
5	PONTANI M, CECCHETTI G, TEOFILATTO P Variable-time-domain neighboring optimal guidance, Part 1: algorithm structure. Journal of Optimal Theory Application, 2015, 166, 76- 92.
6	PONTANI M, CECCHETTI G, TEOFILATTO P Variable-time-domain neighboring optimal guidance, Part 2: application to lunar decent and soft landing. Journal of Optimal Theory Application, 2015, 166, 93- 114.
7	PONTANI M, CECCHETTI G, TEOFILATTO P Variable-time-domain neighboring optimal guidance applied to space trajectories. Acta Astronautica, 2015, 115, 102- 120.
8	HUI Y, FAHROO F, ROSS M I. Real-time computation of neighboring optimal control laws. Proc. of the AIAA Guidance, Navigation, and Control Conference and Exhibit, 2002: 1−7.
9	TIAN B L, ZONG Q Optimal guidance law for reentry vehicles based on indirect Legendre pseudospectral method. Acta Astronautica, 2011, 68 (7/8): 1176- 1184.
10	WILLIAMS P Application of pseudospectral methods for receding horizon control. Journal of Guidance, Engineering Notes, 2004, 27 (2): 310- 314. doi: 10.2514/1.5118
11	WU X Z. Guidance and control method of glider reentry. Beijing: Beijing University of Technology, 2015. (in Chinese)
12	YANG L, ZHOU H, CHEN W C Application of linear Gauss pseudospectral method in model predictive control. Acta Astronautica, 2014, 96, 175- 187.
13	ZHOU J, LEI H M, SHAO L, et al Generation of optimal ballistic cluster for midcourse guidance of interceptors. Journal of National University of Defense Science and Technology, 2017, 39 (5): 171- 177.
14	ZHOU J, LEI H M, ZHAI D L, et al Optimal midcourse trajectory cluster generation and trajectory modification for hypersonic interceptions. Journal of Systems Engineering and Electronics, 2017, 28 (6): 1162- 1173. doi: 10.21629/JSEE.2017.06.14
15	LI N B, LEI H M, ZHOU J, et al Variable-time-domain online neighboring optimal trajectory modification for hypersonic interceptors. International Journal of Aerospace Engineering, 2017, 2017, 9456179.
16	LI N B, LEI H M, ZHOU J, et al Design of tracking guidance law based on neighborhood optimal control. Journal of Beijing University of Technology, 2018, 38 (1): 46- 51.
17	LEI H M, LI N B, ZHOU J, et al Optimal trajectory tracking guidance law of near space interceptor. Journal of National University of Defense Science and Technology, 2018, 40 (1): 24- 31.
18	LI N B, LEI H M, ZHOU J, et al Design of midcourse guidance trajectory online optimization for near space interceptor. Control and Decision, 2017, 32 (12): 2195- 2200.
19	ZHAI C, HE F H, HONG Y G Coverage-based interception algorithm of multiple interceptors against the target involving decoys. Journal of Guidance, Control, and Dynamics, 2016, 39 (7): 1646- 1652.
20	DIONNE D, MICHALSKA H, RABBATH C A Predictive guidance for pursuit-evasion engagements involving multiple decoys. Journal of Guidance, Control, and Dynamics, 2015, 30 (5): 1277- 1286.
21	SU W S, LI K B, CHEN L Coverage-based three-dimensional cooperative guidance strategy against high maneuvering target. Aerospace Science and Technology, 2019, 85, 556- 566.
22	MA L B, HE F H, YAO Y. A coverage-based guidance algorithm for the multiple-stage cooperative interception problem. Proc. of the 35th Chinese Control Conference, 2016. DOI:10.1109/ChiCC.2016.7554641.
23	WANG J W, HE F H, WANG L, et al. Cooperative guidance for multiple interceptors based on dynamic target coverage theory. Proc. of the 11th World Congress on Intelligent Control and Automation, 2014. DOI:10.1109/WCICA.2014.7053406.
24	LIU X , LIANG X G. Integrated guidance and control of multiple interceptor missiles based on improved distributed cooperative control strategy. Journal of Aerospace Technology and Management, 2019. DOI:10.5028/jatm.v11.1003.
25	WANG S J, WANG D C, YAN W Y, et al. Optimal system control. Beijing: Water Conservancy and Hydropower Press, 1985. (in Chinese)
26	LEI H M, LI J, HU X J, et al. Theory of guidance and control for missile. Beijing: National Defense Industry Press, 2018. (in Chinese)
27	BREAKWELL J V, SPEYER J L, BRYSON A E Optimization and control of nonlinear systems using the second variation. SIAM Journal on Control and Optimization, 1963, 1 (2): 193- 223.
28	BRYSON A E, HO Y C. Applied optimal control. New York: Halsted Press, 1975.
29	Department of Applied Mathematics, Tongji University. Linear algebra. Beijing: Higher Education Press, 2006. (in Chinese)
30	ZHAI D L, LEI H M, LI J, et al Trajectory prediction of hypersonic vehicle based on adaptive IMM. Acta Aeronautica et Astronautica Sinica, 2016, 37 (11): 3466- 3475.

${V_0}$ /(m/s)	${x_0}$ /km	${y_0}$ /km	${\theta _0}$ /(°)	${\psi _{v0}}$ /(°)
3000	0	80	?3	0

Missile	${V_f}$ /(m/s)	${x_f}$ /km	${y_f}$ /km	${z_f}$ /km	${\theta _f}$ /(°)	${\psi _{vf}}$ /(°)
M1	Max	600	20	42.07	0	0
M2	Max	600	20	35	0	0
M3	Max	600	27.07	35	0	0
M4	Max	600	27.07	42.07	0	0

Missile	${x_f}$ /km	${y_f}$ /km	${z_f}$ /km	${\theta _f}$ /(°)	${\psi _{vf}}$ /(°)
M1	600	20	37.07	0	0
M2	600	20	30	0	0
M3	600	27.07	30	0	0
M4	600	27.07	37.07	0	0

${V_0}$ /(m/s)	${x_0}$ /km	${z_0}$ /km	${\theta _0}$ /(°)	${\psi _{v0}}$ /(°)
3000	0	80	?3	0

${V_f}$ /(m/s)	${x_f}$ /km	${z_f}$ /km	${\theta _f}$ /(°)	${\psi _{vf}}$ /(°)
Max	600	40	0	0

Variable	Correction 1	Correction 2	Correction 3	Correction 4
${\rm{d} }{y_f}$ /km	10	10	10	8
${\rm{d} }{\psi _{vf} } $ /(°)	2	2	2	2

On-line trajectory generation of midcourse cooperative guidance for multiple interceptors

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