面向集群卫星分布式定时组网的协同编队技术

doi:10.7527/S1000-6893.2024.30932

Abstract

Abstract:

With the increasing demand of space information， the formation control technology of multi-satellite system develops rapidly. The traditional research theory focuses only on three-dimensional state convergence characteristics of satellite system， which cannot effectively control the satellite formation from the time dimension. However， the inter-satellite laser communication technology puts forward higher requirements for the timeliness and accuracy of satellite system formation. Therefore， this paper studies the timing formation control problem for the satellite system in geosynchronous orbit. By introducing the parametric Lyapunov equation， the predetermined time problem is transformed into a time-varying parameter design problem， and the formation strategy of dynamic gain adjustment and adaptive formation strategy are proposed. The simulation results show that the cluster satellite system can independently establish， switch and maintain the formation configuration at any predetermined time， providing a reliable guarantee for the stability of inter-satellite laser signal transmission in practical engineering.

Key words: cluster satellite system, intersatellite laser communication, formation control, prescribed-time networking, adaptive control systems

CLC Number:

Zhicheng ZHANG, Yuan ZHOU, Yu ZHAO, Weimin BAO. Cooperative formation control for multi-satellite system applied to distributed prescribed-time networking[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(4): 330932.

Figures/Tables 10

Fig.1

Fig.2

Fig.3

Table 1

Formation vector

$t ∈ 0,4 000 s, 预定时间 T = 3 600 s$	$t > 4 000 s, 预定时间 T = 9 000 s$
$h 1 = 0,1 000,0 T h 2 = - 951.054,309.081,0 T h 3 = - 587.785, - 809.017,0 T h 4 = 587.785, - 809.017,0 T h 5 = 951.054,309.081,0 T$	$h 1 = - 587.785, - 1 018.04,0 T h 2 = - 951.054, - 1 647.27,0 T h 3 = 0, - 1 647.27,0 T h 4 = 951.054, - 1 647.27,0 T h 5 = 587.785, - 1 018.04,0 T$

Table 1

Fig.4

Fig.5

Fig.6

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Fig.8

Fig.9

References 21

1	吕娜，刘创，陈柯帆，等. 一种面向航空集群的集中控制式网络部署方法［J］. 航空学报， 2018， 39（7）： 321961.
	LÜ/LV/LU/LYU） N， LIU C， CHEN K F， et al. A method for centralized control network deployment of aeronautic swarm［J］. Acta Aeronautica et Astronautica Sinica， 2018， 39（7）： 321961 （in Chinese）.
2	胡利平，梁晓龙，何吕龙，等. 基于情景分析的航空集群决策规则库构建方法［J］. 航空学报， 2020， 41（S1）： 723737.
	HU L P， LIANG X L， HE L L， et al. Construction method of aviation swarm decision rule base based on scenario analysis［J］. Acta Aeronautica et Astronautica Sinica， 2020， 41（S1）： 723737 （in Chinese）.
3	姚旭. 激光通信组网关键技术研究［D］. 北京：北京交通大学， 2020.
	YAO X. Research on key technologies of laser communication networking［D］. Beijing： Beijing Jiaotong University， 2020 （in Chinese）.
4	雷思磊，贺文宝，李剑青，等. 基于北斗短报文的卫星通信车快速组网方案设计［J］. 全球定位系统， 2018， 43（4）： 53-58.
	LEI S L， HE W B， LI J Q， et al. Design of rapid networking scheme for satellite communication vehicle based on BeiDou short message［J］. GNSS World of China， 2018， 43（4）： 53-58 （in Chinese）.
5	杨雪榕. 卫星跟飞编队控制问题研究［D］. 长沙：国防科学技术大学， 2010.
	YANG X R. Research on formation control of satellite following flight［D］.Changsha： National University of Defense Technology， 2010 （in Chinese）.
6	王月东. 基于李雅普诺夫函数的双星编队控制研究［D］. 太原：中北大学， 2017.
	WANG Y D. Research on formation control of double stars based on Lyapunov function［D］.Taiyuan： North University of China， 2017 （in Chinese）.
7	郭耀华. 基于一致性理论的卫星编队滑模/反步协同控制研究［D］. 北京：北京理工大学， 2015.
	GUO Y H. Research on sliding mode/backstepping cooperative control of satellite formation based on consistency theory［D］.Beijing： Beijing Institute of Technology， 2015 （in Chinese）.
8	李亮，王洪，刘良玉，等. 微小卫星星座与编队技术发展［J］. 空间电子技术， 2017， 14（01）： 1-3，14.
	LI L， WANG H， LIU L Y， et al. Development of micro-satellite constellation and formation technologies［J］. Space Electonic Technology， 2017， 14（01）： 1-3，14.
9	马广富，梅杰. 多星系统相对轨道的自适应协同控制［J］. 控制理论与应用， 2011， 28（6）： 781-787.
	MA G F， MEI J. Adaptive cooperative control for relative orbits of multi-satellite systems ［J］. Control Theory and Applications， 2011， 28（6）： 781-787 （in Chinese）.
10	Fax J A. Optimal and cooperative control of vehicle formations［D］. Dissertation of Doctor of Philosophy， California Institute of Technology， 2001： 97-98
11	MENG Z Y， REN W， YOU Z. Distributed finite-time attitude containment control for multiple rigid bodies［J］. Automatica， 2010， 46（12）： 2092-2099.
12	DU H B， LI S H， QIAN C J. Finite-time attitude tracking control of spacecraft with application to attitude synchronization［J］. IEEE Transactions on Automatic Control， 2011， 56（11）： 2711-2717.
13	苏继东，徐伟琳，翟盛华，等. 航天器自组网技术实践与展望［J］. 航空学报， 2024， 45（5）： 529912.
	SU J D， XU W L， ZHAI S H， et al. Practice and prospect of space AD hoc network technology［J］. Acta Aeronautica et Astronautica Sinica， 2024， 45（5）： 529912 （in Chinese）.
14	LI Z K， WEN G H， DUAN Z S， et al. Designing fully distributed consensus protocols for linear multi-agent systems with directed graphs［J］. IEEE Transactions on Automatic Control， 2015， 60（4）： 1152-1157.
15	ZHOU Y， LIU Y F， ZHAO Y， et al. Fully distributed prescribed-time bipartite synchronization of general linear systems： An adaptive gain scheduling strategy［J］. Automatica， 2024， 161： 111459.
16	ZHOU B. Truncated predictor feedback for time-delay systems［M］. Berlin： Springer， 2014：10-11.
17	ZHOU B. Finite-time stabilization of linear systems by bounded linear time-varying feedback［J］. Automatica， 2020， 113： 108760.
18	LI Z K， CHEN M Z Q， DING Z T. Distributed adaptive controllers for cooperative output regulation of heterogeneous agents over directed graphs［J］. Automatica， 2016， 68： 179-183.
19	LV Y Z， WEN G H， HUANG T W， et al. Adaptive attack-free protocol for consensus tracking with pure relative output information［J］. Automatica， 2020， 117： 108998.
20	SUN J Y， GENG Z Y. Adaptive output feedback consensus tracking for linear multi-agent systems with unknown dynamics［J］. International Journal of Control， 2015， 88（9）： 1735-1745.
21	LI Z K， DUAN Z S. Cooperative control of multi-agent systems： a consensus region approach［M］. Boca Raton： CRC Press， 2015.

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Cooperative formation control for multi-satellite system applied to distributed prescribed-time networking

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