Optimal maneuvering strategy of spacecraft evasion based on angles-only measurement and observability analysis

doi:10.23919/JSEE.2023.000026

Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (1): 172-184.doi: 10.23919/JSEE.2023.000026

• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles

Optimal maneuvering strategy of spacecraft evasion based on angles-only measurement and observability analysis

Yijie ZHANG¹(), Jiongqi WANG¹(), Bowen HOU¹(), Dayi WANG¹^,²(), Yuyun CHEN¹^,³^,*()

¹ College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
² Beijing Institute of Spacecraft System Engineering, Beijing 100190, China
³ School of Mathematics and Big Data, Foshan University, Foshan 528000, China

Received:2021-10-09 Online:2023-02-18 Published:2023-03-03
Contact: Yuyun CHEN E-mail:zyijie0616@163.com;wjq_gfkd@163.com;houbowen95@126.com;dayiwang@163.com;kasineya@sina.com
About author:
ZHANG Yijie was born in 1998. She received her B.S. degree in information and computing sciences from University of Hebei University of Engineering, Handan, China, in 2020. She is studying in the National University of Defense Technology as a postgraduate. Her current research interests include Kalman filter, information fusion, and autonomous navigation. E-mail: zyijie0616@163.com

WANG Jiongqi was born in 1979. He received his B.S. degree in applied mathematics from Zhejiang University, Hangzhou, China, in 2002, and M.S. and Ph.D. degrees in system science from National University of Defense Technology, in 2004 and 2008, respectively. He is a professor in the College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, China. His research interests include measurement data analysis, parameter estimation, system identification, and space target state filter and its applications. E-mail: wjq_gfkd@163.com

HOU Bowen was born in 1995. He received his M.S. degree in system science from National University of Defense Technology, Changsha, China, in 2018. He is studying there as a doctoral student. His current research interests include Kalman filter, signal processing, and integrated navigation. E-mail: houbowen95@126.com

WANG Dayi was born in 1973. He received his Ph.D. degree in aerospace engineering from Harbin Institute of Technology in 2003. From 2003 to 2015, he was a researcher with Beijing Institute of Spacecraft System Engineering, China Academy of Space Technology. From 2011 to 2015, he was the deputy director of the State Key Laboratory of Spatial Intelligent Control Technology. His research interest is spacecraft autonomous navigation. E-mail: dayiwang@163.com

CHEN Yuyun was born in 1979. She received her B.S., M.S., and Ph.D. degrees in applied mathematics from National University of Defense Technology, Changsha, China, in 2002, 2004, and 2017, respectively. She is a professor in School of Mathemtics and Big Data, Foshan University. Her main research interests include data analysis, nonlinear filter, and parameter estimation. E-mail: kasineya@sina.com
Supported by:
This work was supported by the National Key R&D Program of China (2020YFA0713502), the Special Fund Project for Guiding Local Scientific and Technological Development (2020ZYT003), the National Natural Science Foundation of China (U20B2055;61773021;61903086), and the Natural Science Foundation of Hunan Province (2019JJ20018;2020JJ4280).

Abstract

Abstract:

Spacecraft orbit evasion is an effective method to ensure space safety. In the spacecraft’s orbital plane, the space non-cooperate target with autonomous approaching to the spacecraft may have a dangerous rendezvous. To deal with this problem, an optimal maneuvering strategy based on the relative navigation observability degree is proposed with angles-only measurements. A maneuver evasion relative navigation model in the spacecraft’s orbital plane is constructed and the observabi-lity measurement criteria with process noise and measurement noise are defined based on the posterior Cramer-Rao lower bound. Further, the optimal maneuver evasion strategy in spacecraft’s orbital plane based on the observability is proposed. The strategy provides a new idea for spacecraft to evade safety threats autonomously. Compared with the spacecraft evasion problem based on the absolute navigation, more accurate evasion results can be obtained. The simulation indicates that this optimal strategy can weaken the system’s observability and reduce the state estimation accuracy of the non-cooperative target, making it impossible for the non-cooperative target to accurately approach the spacecraft.

Key words: rendezvous evasion, orbit maneuver, angles-only measurement, observability degree, posterior Cramer-Rao lower bound

Yijie ZHANG, Jiongqi WANG, Bowen HOU, Dayi WANG, Yuyun CHEN. Optimal maneuvering strategy of spacecraft evasion based on angles-only measurement and observability analysis[J]. Journal of Systems Engineering and Electronics, 2023, 34(1): 172-184.

Figures/Tables 14

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References 29

1	NISHIDA S I, KAWAMOTO S Strategy for capturing of a tumbling space debris. Acta Astronautica, 2011, 68 (1/2): 113- 120. doi: 10.1016/j.actaastro.2010.06.045
2	KOMANDURI A S Guidance and control of a spacecraft to rendevous and dock with a non-cooperative target. Gottingen: Cuvillier Verlag, 2011.
3	GUO H R. What we need to know about StarLink. https://zhuanlan.zhihu.com/p/91352915. (in Chinese)
4	BAI X Z, CHEN L, ZHANG Y, et al Survey on collision assessment and warning techniques for space object. Journal of Astronautics, 2013, 34 (8): 1027- 1039.
5	D’AMICO S, ARDAENS J S, GAIAS G, et al Noncooperative rendezvous using angles-only optical navigation: system design and flight results. Journal of Guidance, Control, and Dynamics, 2013, 36 (6): 1576- 1595. doi: 10.2514/1.59236
6	YIN F, CHOU W S, WU Y, et al Sparse unorganized point cloud based relative pose estimation for uncooperative space target. Sensors, 2018, 18 (4): 1009. doi: 10.3390/s18041009
7	KRUGER J, D ’AMICO S Autonomous angles-only multitarget tracking for spacecraft swarms. Acta Astronautica, 2021, 189 (6): 514- 529.
8	PATERA R P. General method for calculating satellite collision probability. Journal of Guidance, Control, and Dyna-mics. 2001, 24(4): 716–722.
9	PATERA R P Satellite collision probability for nonlinear relative motion. Journal of Guidance, Control and Dynamics, 2003, 26 (5): 728733.
10	PATERA R P, PETERSON G E Space vehicle maneuver method to lower collision risk to an acceptable level. Journal of Guidance, Control, and Dynamics, 2003, 26 (2): 233- 237. doi: 10.2514/2.5063
11	WANG H, LI H Y, TANG G J Collision probability based optimal collision avoidance maneuver in rendezvous and docking. Journal of Astronautics, 2008, 29 (1): 220- 223.
12	SU F, LIU J, ZHANG Y, et al Analysis of optimal impulse for in-plane collision avoidance maneuver. Systems Engineering and Electronics, 2018, 40 (12): 2782- 2789.
13	PONTANI M, CONWAY B A Numerical solution of the three-dimensional orbital pursuit-evasion game. Journal of Guidance, Control, and Dynamics, 2009, 32 (2): 474- 487. doi: 10.2514/1.37962
14	JAGAT A, SINCLAIR A J Nonlinear control for spacecraft pursuit-evasion game using the state-dependent Riccati equation method. IEEE Trans. on Aerospace and Electronic Systems, 2017, 53 (6): 3032- 3042. doi: 10.1109/TAES.2017.2725498
15	LI Z Y, ZHU H, LUO Y Z An escape strategy in orbital pursuit-evasion games with incomplete information. Science China Technological Sciences, 2021, 64 (3): 559- 570. doi: 10.1007/s11431-020-1662-0
16	YU D T, WANG H, ZHOW W M Anti-rendezvous evasive maneuver method considering space geometrical relationship. Journal of National University of Defense Technology, 2016, 38 (6): 89- 94.
17	YU D T, WANG H, GUO S, et al Analytical approach for orbital evasion with space geometry considered. International Journal of Aerospace Engineering, 2017, 2017, 4164260.
18	YU D T, LUO Y Z, JIANG Z C, et al Multi-objective evolutionary optimization of evasive maneuvers including observability performance. Proc. of the IEEE Congress on Evolutionary Computation, 2015, 603- 610.
19	HAM F M, BROWN R G Observability, eigenvalues and Kalman filitering. IEEE Trans. on Aerospace and Electronic Systems, 1983, (2): 269- 273.
20	CHENG X H, WAN D J, ZHONG X Study on observability and its degree of strapdown inertial navigation system. Journal of Southeast University, 1997, 27 (6): 6- 11.
21	ZHOU B C, CHENG X H, LIU D J Analysis method of observable degree based on spectral decomposition in SINS transfer alignment. Journal of Chinese Inertial Technology, 2010, 18 (5): 518- 522.
22	GE Q B, MA J Y, CHEN S D, et al Observable degree analysis to match estimation performance for wireless tracking networks. Asian Journal of Control, 2017, 19 (4): 1259- 1270. doi: 10.1002/asjc.1386
23	GE Q B, TANG S S, WANG M M, et al Improved nonlinear observable degree analysis using data fusion. Applied Mathematics and Computation, 2021, 392, 125613. doi: 10.1016/j.amc.2020.125613
24	VALLADO D A. Evaluating gooding angles-only orbit determination of space based space surveillance measurements. https://www.researchgate.net/publication/228994563_Evaluating_Gooding_Angles-only_Orbit_Determination_of_Space_Based_Space_Surveillance_Measurements.
25	WOFFINDEN D C, GELLER D K Optimal orbital rendezvous maneuvering for angles-only navigation. Journal of Guidance, Control, and Dynamics, 2009, 32 (4): 1382- 1387. doi: 10.2514/1.45006
26	WASIM M, ALI A Airship aerodynamic model estimation using unscented Kalman filter. Journal of Systems Engineering and Electronics, 2020, 31 (6): 1318- 1329.
27	ZUO L, NIU R X, VARSHNEY P K Conditional posterior Cramer-Rao lower bounds for nonlinear sequential Bayesian estimation. IEEE Trans. on Signal Processing, 2011, 59 (1): 1- 14. doi: 10.1109/TSP.2010.2080268
28	LIU C Y, SHUI P L, WEI G, et al Modified unscented Kalman filter using modified filter gain and variance scale factor for highly maneuvering target tracking. Journal of Systems Engineering and Electronics, 2014, 25 (3): 380- 385. doi: 10.1109/JSEE.2014.00043
29	HOU B W, WANG D Y, WANG J Q, et al. Optimal maneuvering for autonomous relative navigation using monocular camera sequential images. Journal of Guidance, Control and Dynamics, 2021, 44(11): 1947–1960.

RMSE	Maneuver
RMSE	Non	Optimal	Random
x-axis	0.03191	2.3350	0.8941
y-axis	0.4189	2.3642	1.9586

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Optimal maneuvering strategy of spacecraft evasion based on angles-only measurement and observability analysis

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