编队航天器饱和非奇异预定时间控制

  • 肖超 ,
  • 李涛 ,
  • 郭永 ,
  • 李爱军 ,
  • 王长青
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  • 1. 西北工业大学
    2. 近地面探测全国重点实验室
    3. 西北工业大学,自动化学院

收稿日期: 2026-03-27

  修回日期: 2026-07-19

  网络出版日期: 2026-07-22

基金资助

国家自然科学基金

Saturated Nonsingular Predefined-Time Control for Spacecraft Formation Flying

  • XIAO Chao ,
  • LI Tao ,
  • GUO Yong ,
  • LI Ai-Jun ,
  • WANG Chang-Qing
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Received date: 2026-03-27

  Revised date: 2026-07-19

  Online published: 2026-07-22

摘要

考虑存在外部扰动与执行器饱和约束的航天器编队飞行姿态协同控制系统,提出了一种基于非奇异滑模的分布式饱和预定时间控制策略。首先,利用预定时间控制,构造了一种分布式非奇异预定时间滑模面,可确保编队航天器姿态误差在预定时间内收敛到零附近的邻域内。其次,结合所提滑模面与设计的辅助系统,提出了一种分布式饱和预定时间姿态协同控制器,可使滑模面在预定时间内收敛到零附近的邻域内;最后,通过严格的理论推导分析与数值仿真验证,充分证明了所提控制策略的有效性,可为航天器编队飞行系统提供高精度且预定时间收敛的姿态协同控制方案。

本文引用格式

肖超 , 李涛 , 郭永 , 李爱军 , 王长青 . 编队航天器饱和非奇异预定时间控制[J]. 航空学报, 0 : 1 -0 . DOI: 10.7527/S1000-6893.2026.33617

Abstract

This paper investigates the attitude coordination control problem for spacecraft formation flying system with external disturbance and actuator saturation constraints, and proposes a distributed saturated predefined-time control strategy based on non-singular sliding mode. First, by employing predefined-time control theory, a distributed non-singular predefined-time sliding mode surface is constructed, which guarantees that the attitude errors of spacecraft formation can converge to a small neighborhood of zero within a predefined time. Then, combining the proposed sliding mode surface with a designed auxiliary system, a distributed saturated predefined-time attitude coordination controller is developed, which ensures the sliding mode surface converges to a bounded region near zero within the predefined time. Finally, rigorous theoretical analysis and numerical simulation results fully demonstrate the effectiveness of the proposed control strategy. It can achieve high-precision and predefined-time convergent attitude coordination control, with strong robustness to external disturbance and explicit consideration of actuator saturation, thus providing a high-performance control scheme for practical spacecraft formation flying applications.

参考文献

[1]HAYS C W, HENDERSON T, MILLER K, et al.Angles-only cooperative local catalog maintenance of close-proximity satellite systems[J].Journal of Guidance Control and Dynamics, 2024, 47(12):2573-2586 [2]ALZUBAIRI A, TAMEEM A, KADA B.Spacecraft formation flying orbital control for earth observation mission [J]. Scientific African, 2024, 26: e02391.[J].Scientific African, 2024, 26:e02391- [3]孙兆博, 丁学良, 吴宝林, 等.基于虚拟力场的航天器集群重构轨迹规划方法[J].航空学报, 2026, 47(19):332855- [4]SUN Z B, DING X L, WU B L, et al.A virtual force field-based trajectory planning method for spacecraft swarm reconfiguration[J].Acta Aeronautica et Astronautica Sinica, 2026, 47(19):332855- [5]SUN R, AHN C K, LIU D, et al.Near-asteroid spacecraft formation control with prescribed -performance: A dynamic event-triggered reinforcement learning control approach [J]. Aerospace Science and Technology, 2025, 161: 110138. [6]方子若, 汤宁标, 刘野, 等.面向引力波探测航天器多物理场噪声抑制的组件布局优化[J].航空学报, 2025, 46(18):231817- [7]FANG Z R, TANG N B, LIU Y, et al.Component layout design optimization for multi-physical field noise suppression in gravitational wave detection spacecraft[J].Acta Aeronautica et Astronautica Sinica, 2025, 46(18):231817- [8]殷泽阳, 邢友朋, 韩飞.编队航天器协同绕飞非合作目标的全驱预设性能控制[J].航空学报, 2024, 45(1):628904- [9]YIN Z Y, XING Y P, HAN F, et al.Fully-actuated prescribed performance control of spacecraft formation for flying cooperatively around non-cooperative target[J].Acta Aeronautica et Astronautica Sinica, 2024, 45(1):628904- [10]SANTOS W G, MASON P, STONEKING E T, et al.Reconfigurable guidance strategy for compensating actuator faults in spacecraft formation flying[J].Journal of Guidance Control and Dynamics, 2025, 48(2):282-296 [11]WU T H, FLEWELLING B, LEVE F, et al.Spacecraft attitude-formation tracking using line-of-sight measurements[J].Journal of Guidance Control and Dynamics, 2017, 40(10):2616-2629 [12]CAI H, HUANG J.Leader-following attitude consensus of multiple uncertain spacecraft systems subject to external disturbance[J].International Journal of Robust and Nonlinear Control, 2017, 27(5):742-760 [13]SUN R, WANG J H, ZHANG D X, et al.Neural -network-based sliding-mode adaptive control for spacecraft formation using aerodynamic forces[J].Journal of Guidance Control and Dynamics, 2018, 41(3):754-760 [14]ZENG X, WEN T, YU Y, et al.Potential hop reachable domain over surfaces of small bodies [J]. Aerospace Science and Technology, 2021, 112: 106600. [15]KADA B, MUNAWAR K, SHAIKH M S.Attitude synchronization and stabilization for multi-satellite formation flying with advanced angular velocity observers[J].International Journal of Advanced Computer Science and Applications, 2023, 14(8):296-303 [16]ZHOU J K, HU Q L, FRISWELL M I.Decentralized finite time attitude synchronization control of satellite formation flying[J].Journal of Guidance Control and Dynamics, 2013, 36(1):185-195 [17]LIN X H, SHI X P, LI S L, et al.Nonsingular fast terminal adaptive neuro-sliding mode control for spacecraft formation flying systems[J].Complexity, 2020, 2020(1):5875191- [18]GUO Y, XIAO C, ZHANG D W, et al.Full-order sliding mode control for the attitude of the spacecraft under input saturation[J].Journal of Aerospace Engineering, 2023, 36(5):04023049- [19]谢树宗, 杨秦敏, 陈强, 等.航天器指定时间自适应姿态跟踪保性能控制[J].航空学报, 2026, 47(11):632775- [20]XIE S Z, YANG Q M, CHEN Q, et al.Specified-time adaptive attitude tracking control for spacecraft with guaranteed prescribed performance[J].Acta Aeronautica et Astronautica Sinica, 2026, 47(11):632775- [21]ZOU A M, FAN Z.Fixed-time attitude tracking control for rigid spacecraft without angular velocity measurements[J].IEEE Transactions on Industrial Electronics, 2020, 67(8):6795-6805 [22]CUI B, ZHANG L J, XIA Y Q, et al.Continuous distributed fixed-time attitude controller design for multiple spacecraft systems with a directed graph[J].IEEE Transactions on Circuits and Systems II-Express Briefs, 2022, 69(11):4478-82 [23]ZHUANG M L, TAN L G, SONG S M.Fixed-time attitude coordination control for spacecraft with external disturbance [J]. ISA Transactions, 2021, 114: 150-170. [24]ZHANG J X, FU Y, FU J.Funnel-based adaptive predefined-time leader-following output-feedback optimal control for second-order nonlinear multi-agent systems [J]. IEEE Transactions on Automatic Control, 2025, 22: 2794-2805. [25]HU L M, WANG Z, CHEN C R, et al.Adaptive approximate predefined-time guaranteed performance control of uncertain spacecraft[J].Mathematics, 2025, 13(5):832- [26]ZHANG Z C, BAO W M, HOU Q M, et al.Disturbance estimation and predefined-time control approach to formation of multi-spacecraft systems[J].Sensors, 2024, 24(17):5671- [27]WANG Z, MA J, HU L M.Predefined-time guaranteed performance attitude takeover control for non -cooperative spacecraft with uncertainties[J].International Journal of Robust and Nonlinear Control, 2023, 33(13):7488-7509 [28]WANG J, YANG M, WANG D H, et al.Distributed average consensus attitude synchronization of multi rigid spacecrafts with predefined time event-triggered sliding mode control [J]. Aerospace Science and Technology, 2025, 159. [29]HU D Y, ZHANG S Y, ZOU A M.Practical predefined -time attitude coordination control for multiple rigid spacecraft[J].Journal of the Franklin Institute, 2022, 359(17):9522-9543 [30]SHAHBAZI B, MALEKZADEH M, KOOFIGAR H R.Robust constrained attitude control of spacecraft formation flying in the presence of disturbances[J].IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(5):2534-2543 [31]XIAO C, GUO Y, XIE C Q, et al.Adaptive super -twisting sliding mode attitude coordination control for spacecraft formation flying with actuator saturation[J].Advances in Space Research, 2023, 72(10):4244-4255 [32]ZHUANG M L, SONG S M.Fixed-time coordinated attitude tracking control for spacecraft formation flying considering input amplitude constraint[J].International Journal of Control, Automation and Systems, 2022, 20(7):2129-2147 [33]SHI X N, ZHOU D, CHEN X W, et al.Actor-critic -based predefined-time control for spacecraft attitude formation system with guaranteeing prescribed performance on SO(3) [J]. Aerospace Science and Technology, 2021, 117. [34]SUN Y, LYU Y, GUO Y N, et al.Adaptive predefined -time control for liquid-filled flexible spacecraft attitude stabilization during orbit maneuver[J].Advances in Space Research, 2023, 71(6):2733-2744 [35]WU C H, YAN J G, SHEN J H, et al.Predefined-time attitude stabilization of receiver aircraft in aerial refueling[J].IEEE Transactions on Circuits and Systems Ii-Express Briefs, 2021, 68(10):3321-3325 [36]XIE S Z, CHEN Q.Adaptive nonsingular predefined -time control for attitude stabilization of rigid spacecrafts[J].IEEE Transactions on Circuits and Systems Ii-Express Briefs, 2022, 69(1):189-193 [37]HUANG B, LI A J, GUO Y, et al.Rotation matrix based finite-time attitude synchronization control for spacecraft with external disturbances [J]. ISA Transactions, 2019, 85: 141-150.
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