视线坐标系下空间机动非合作目标交会轨迹规划与控制

doi:10.7527/S1000-6893.2025.33005

Abstract

Abstract:

To address the multi-constraint autonomous rendezvous problem for maneuvering non-cooperative space targets， this paper proposes a trajectory planning and control method in the Line-of-Sight （LOS） coordinate frame of the chaser spacecraft， which integrates a genetic algorithm with Linear Time-Varying Model Predictive Control （LTV-MPC）. The proposed method overcomes the limitations of conventional controllers designed in the Local Vertical Local Horizontal （LVLH） frame for rendezvous missions with maneuvering non-cooperative targets， while avoiding navigation coordinate transformation errors. First， a relative motion dynamic model between the non-cooperative target and the chaser spacecraft is established in the chaser’s LOS coordinate frame. Then， taking full account of multiple constraints including dynamics， control saturation and safety constraints， an optimization model is constructed with a fuel-optimal performance index. The model is solved using a genetic algorithm， taking advantage of its global convergence and strong constraint-handling ability， to obtain the optimal nominal trajectory. Finally， benefiting from its advantages in conveniently handling multiple constraints and uncertainties， an LTV-MPC-based closed-loop tracking controller is designed to track the aforementioned nominal trajectory. Numerical simulations show that the designed trajectory satisfies complex engineering constraints including control， dynamics and safety， and is fuel-optimal， controllable and achievable. In addition， the controller exhibits favorable control accuracy and robustness in the presence of uncertainties， providing an effective solution to the rendezvous problem with maneuvering non-cooperative space targets.

Key words: line-of-sight coordinate frame, non-cooperative targets, space rendezvous, genetic algorithm, Linear Time-Varying Model Predictive Control (LTV-MPC)

CLC Number:

V448.2

Kaikai DONG, Jiale WANG, Pengjin SHANG, Maozhang ZHENG, Zhiyu NI. Trajectory planning and control for space rendezvous with non-cooperative targets in line-of-sight coordinate system[J]. Acta Aeronautica et Astronautica Sinica, 2026, 47(S1): 733005.

Figures/Tables 11

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References 20

[1]	HENSHAW C G， GLASSNER S， NAASZ B， et al. Grappling spacecraft［J］. Annual Review of Control， Robotics， and Autonomous Systems， 2022， 5： 137-159.
[2]	魏才盛，罗建军，殷泽阳. 航天器姿态预设性能控制方法综述［J］. 宇航学报， 2019， 40（10）： 1167-1176.
	WEI C S， LUO J J， YIN Z Y. A review of prescribed performance control for spacecraft attitude［J］. Journal of Astronautics， 2019， 40（10）： 1167-1176 （in Chinese）.
[3]	岳承磊，汪雪川，岳晓奎，等. 基于逆强化学习的航天器交会对接方法［J］. 航空学报， 2023， 44（19）： 328420.
	YUE C L， WANG X C， YUE X K， et al. A spacecraft rendezvous and docking method based on inverse reinforcement learning［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（19）： 328420 （in Chinese）.
[4]	CHAI R Q， SAVVARIS A， TSOURDOS A， et al. A review of optimization techniques in spacecraft flight trajectory design［J］. Progress in Aerospace Sciences， 2019， 109： 100543.
[5]	罗淑贞，孙青林，檀盼龙，等. 基于高斯伪谱法的翼伞系统复杂多约束轨迹规划［J］. 航空学报， 2017， 38（3）： 320363.
	LUO S Z， SUN Q L， TAN P L， et al. Trajectory planning of parafoil system with intricate constraints based on Gauss pseudo-spectral method［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（3）： 320363 （in Chinese）.
[6]	XU Z Y， CHEN Y K， XU Z X. Optimal guidance and collision avoidance for docking with the rotating target spacecraft［J］. Advances in Space Research， 2019， 63（10）： 3223-3234.
[7]	JIANG X Q， LI S， FURFARO R. Integrated guidance for Mars entry and powered descent using reinforcement learning and pseudospectral method［J］. Acta Astronautica， 2019， 163： 114-129.
[8]	LIU X F， LU P， PAN B F. Survey of convex optimization for aerospace applications［J］. Astrodynamics， 2017， 1（1）： 23-40.
[9]	ZHOU D， ZHANG Y Q， LI S L. Receding horizon guidance and control using sequential convex programming for spacecraft 6-DOF close proximity［J］. Aerospace Science and Technology， 2019， 87： 459-477.
[10]	MALYUTA D， YU Y， ELANGO P， et al. Advances in trajectory optimization for space vehicle control［J］. Annual Reviews in Control， 2021， 52： 282-315.
[11]	许丹丹，张进. 基于改进人工势函数的航天器近距离安全控制方法［J］. 力学学报， 2020， 52（6）： 1581-1589.
	XU D D， ZHANG J. A collision-avoidance control algorithm for spacecraft proximity operations based on improved artificial potential function［J］. Chinese Journal of Theoretical and Applied Mechanics， 2020， 52（6）： 1581-1589 （in Chinese）.
[12]	耿远卓，李传江，郭延宁，等. 单推力航天器交会对接轨迹规划及跟踪控制［J］. 航空学报， 2020， 41（9）： 323880.
	GENG Y Z， LI C J， GUO Y N， et al. Rendezvous and docking of spacecraft with single thruster： Path planning and tracking control［J］. Acta Aeronautica et Astronautica Sinica， 2020， 41（9）： 323880 （in Chinese）.
[13]	WILDE M， CIARCIÀ M， GROMPONE A， et al. Experimental characterization of inverse dynamics guidance in docking with a rotating target［J］. Journal of Guidance， Control， and Dynamics， 2016， 39（6）： 1173-1187.
[14]	EREN U， PRACH A， KOÇER B B， et al. Model predictive control in aerospace systems： current state and opportunities［J］. Journal of Guidance， Control， and Dynamics， 2017， 40（7）： 1541-1566.
[15]	董凯凯，罗建军，马卫华，等. 非合作目标交会的双层MPC全局轨迹规划控制［J］. 航空学报， 2021， 42（11）： 524903.
	DONG K K， LUO J J， MA W H， et al. Global trajectory planning and control of rendezvous of non-cooperative targets based on double-layer MPC［J］. Acta Aeronautica et Astronautica Sinica， 2021， 42（11）： 524903 （in Chinese）.
[16]	DI CAIRANO S， PARK H， KOLMANOVSKY I. Model predictive control approach for guidance of spacecraft rendezvous and proximity maneuvering［J］. International Journal of Robust and Nonlinear Control， 2012， 22（12）： 1398-1427.
[17]	LEOMANNI M， QUARTULLO R， BIANCHINI G， et al. Variable-horizon guidance for autonomous rendezvous and docking to a tumbling target［J］. Journal of Guidance， Control， and Dynamics， 2022， 45（5）： 846-858.
[18]	MAMMARELLA M， CAPELLO E， PARK H， et al. Tube-based robust model predictive control for spacecraft proximity operations in the presence of persistent disturbance［J］. Aerospace Science and Technology， 2018， 77： 585-594.
[19]	OESTREICH C E， LINARES R， GONDHALEKAR R. Tube-based model predictive control with uncertainty identification for autonomous spacecraft maneuvers［J］. Journal of Guidance， Control， and Dynamics， 2022， 46（1）： 6-20.
[20]	SPECHT C， BISHNOI A， LAMPARIELLO R. Autonomous spacecraft rendezvous using tube-based model predictive control： Design and application［J］. Journal of Guidance， Control， and Dynamics， 2023， 46（7）： 1243-1261.

脉冲数	累积脉冲消耗/（m·s^-1）
N=24	23.580 1
N=26	18.275 1
N=28	13.826 1
N=29	10.940 2
N=30	10.573 7
N=31	14.631 3
N=40	23.403 2

Trajectory planning and control for space rendezvous with non-cooperative targets in line-of-sight coordinate system

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