Special Topic: Fully Actuated System Theory and Its Applications in Aerospace Field

A high⁃order fully actuated predictive control approach of spacecraft flying⁃around under time⁃variant communication constraints

  • Dawei ZHANG ,
  • Guoping LIU
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  • 1.Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China
    2.Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen 518055,China

Received date: 2023-02-28

  Revised date: 2023-04-11

  Accepted date: 2023-05-11

  Online published: 2023-05-17

Supported by

National Natural Science Foundation of China(62173255)

Abstract

A High-Order Fully Actuated (HOFA) predictive control approach is proposed for the problem of spacecraft flying-around under time-variant communication constraints in a sight coordinate system, including both time-variant communication delays and time-variant packets dropouts in the communication channels between the servicing spacecraft and the tracking and data relay satellite system. In the sight coordinate system, a nonlinear HOFA system model is introduced to describe the relative dynamics of spacecraft flying-around, such that the proposed flying-around task can be considered as a tracking control problem of nonlinear HOFA system. In this approach, the nonlinearities can be eliminated to construct a linear HOFA system because of full actuation characteristic, and then a Linear Incremental HOFA (LIHOFA) prediction model is constructed by applying a Diophantine Equation to replace a reduced-order prediction model, such that multi-step ahead predictions are developed to achieve the optimization of tracking control performance and the compensation of time-variant communication constraints, which guarantees the realization of this flying-around mission. A necessary and sufficient condition is given to analyze the stability and tracking performance of closed-loop system. Further, two simulated examples of spacecraft flying-around in circular and elliptical orbits are provided to verify the feasibility of HOFA predictive control approach.

Cite this article

Dawei ZHANG , Guoping LIU . A high⁃order fully actuated predictive control approach of spacecraft flying⁃around under time⁃variant communication constraints[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2024 , 45(1) : 628633 -628633 . DOI: 10.7527/S1000-6893.2023.28633

References

1 胡庆雷, 邵小东, 杨昊旸, 等. 航天器多约束姿态规划与控制:进展与展望[J]. 航空学报202243(10): 527351.
  HU Q L, SHAO X D, YANG H Y, et al. Spacecraft attitude planning and control under multiple constraints: Review and prospects[J]. Acta Aeronautica et Astronautica Sinica202243(10): 527351 (in Chinese).
2 李敏,袁利,魏春岭. 基于混合状态机的航天器自主绕飞多模态控制[J]. 航空学报202344(18): 328296.
  LI M, YUAN L, WEI C L. Spacecraft autonomous fly-around multi-mode control based-on hybrid state machine[J]. Acta Aeronautica et Astronautica Sinica202344(18): 328296.
3 ZHANG D W, LIU G P. Output feedback predictive control for discrete quasilinear systems with application to spacecraft flying-around[J]. Asian Journal of Control202224(4): 1846-1861.
4 ZHANG D W, LIU G P. Coordinated control of quasilinear multiagent systems via output feedback predictive control[J]. ISA Transactions2022128: 58-70.
5 HUANG Y, JIA Y M. Adaptive finite-time 6-DOF tracking control for spacecraft fly around with input saturation and state constraints[J]. IEEE Transactions on Aerospace and Electronic Systems201955(6): 3259-3272.
6 HUANG Y, JIA Y M. Adaptive fixed-time six-DOF tracking control for noncooperative spacecraft fly-around mission[J]. IEEE Transactions on Control Systems Technology201927(4): 1796-1804.
7 SU Y Z, YANG Y J, YANG X R, et al. Attitude tracking control for observation spacecraft flying around the target spacecraft[J]. IET Control Theory & Applications202115(14): 1868-1881.
8 WANG Y, JI H B. Input-to-state stability-based adaptive control for spacecraft fly-around with input saturation[J]. IET Control Theory & Applications202014(10): 1365-1374.
9 ZHANG R, HAN C, RAO Y R, et al. Spacecraft fast fly-around formations design using the bi-teardrop configuration[J]. Journal of Guidance, Control, and Dynamics201841(7): 1542-1555.
10 HUANG Y, JIA Y M. Robust adaptive fixed-time tracking control of 6-DOF spacecraft fly-around mission for noncooperative target[J]. International Journal of Robust and Nonlinear Control201828(6): 2598-2618.
11 LIU L, LIU J G, WU Y M. Event-triggered coordinated control for multiple solar sail formation flying around planetary displaced orbits[J]. Acta Astronautica2021184: 286-298.
12 WANG W, BAOYIN H X, MENGALI G, et al. Solar sail cooperative formation flying around L2-type artificial equilibrium points[J]. Acta Astronautica2020169: 224-239.
13 刘国平. 具有时变通信受限非线性信息物理系统的网络化预测控制[J]. 控制理论与应用202239(1): 145-153.
  LIU G P. Networked predictive control of nonlinear cyber physical systems with time-varying communication constraints[J]. Control Theory & Applications202239(1): 145-153 (in Chinese).
14 GU Z, YAN S, AHN C K, et al. Event-triggered dissipative tracking control of networked control systems with distributed communication delay[J]. IEEE Systems Journal202216(2): 3320-3330.
15 MASTANI E, RAHMANI M. Dynamic output feedback control for networked systems subject to communication delays, packet dropouts, and quantization[J]. Journal of the Franklin Institute2021358(8): 4303-4325.
16 ZHAO Z Y, YI X J, MA L F, et al. Quantized recursive filtering for networked systems with stochastic transmission delays[J]. ISA Transactions2022127: 99-107.
17 DUAN G R. High-order fully actuated system approaches: Part I. Models and basic procedure[J]. International Journal of Systems Science202152(2): 422-435.
18 ZHANG D W, LIU G P, CAO L. Coordinated control of high-order fully actuated multiagent systems and its application: A predictive control strategy[J]. IEEE/ASME Transactions on Mechatronics202227(6): 4362-4372.
19 ZHANG D W, LIU G P, CAO L. Constrained cooperative control for high-order fully actuated multiagent systems with application to air-bearing spacecraft simulators[J]. IEEE/ASME Transactions on Mechatronics202328(3): 1570-1581.
20 MENG R, HUA C C, LI K, et al. Adaptive event-triggered control for uncertain high-order fully actuated system[J]. IEEE Transactions on Circuits and Systems II: Express Briefs202269(11): 4438-4442.
21 DUAN G Q, LIU G P. Attitude and orbit optimal control of combined spacecraft via a fully-actuated system approach[J]. Journal of Systems Science and Complexity202235(2): 623-640.
22 刘暾, 赵钧. 空间飞行器动力学[M]. 哈尔滨: 哈尔滨工业大学出版社, 2003: 83-86.
  LIU T, ZHAO J. Dynamics of Spacecraft[M]. Harbin: Harbin Institute of Technology Press, 2003: 83-86 (in Chinese).
23 DUAN G R. High-order fully actuated system approaches: Part X. Basics of discrete-time systems[J]. International Journal of Systems Science202253(4): 810-832.
24 ZHANG D W, LIU G P. Predictive control for networked high-order fully actuated systems subject to communication delays and external disturbances[J]. ISA Transactions2023139: 425-435.
25 ZHANG D W, LIU G P, CAO L. Predictive control of discrete-time high-order fully actuated systems with application to air-bearing spacecraft simulator[J]. Journal of the Franklin Institute2023360(8): 5910-5927.
26 ZHANG D W, LIU G P, CAO L. Proportional integral predictive control of high-order fully actuated networked multiagent systems with communication delays[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202353(2): 801-812.
27 AMATO F, COSENTINO C, DE TOMMASI G, et al. Input?output finite-time stabilization of linear time-varying discrete-time systems[J]. IEEE Transactions on Automatic Control202267(9): 4438-4450.
28 BABIARZ A, CZORNIK A, SIEGMUND S. On stabilization of discrete time-varying systems[J]. SIAM Journal on Control and Optimization202159(1): 242-266.
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