A Safety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions
Research Article  ·  Published: 17 March 2026
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ICCK Transactions on Sensing, Communication, and Control
Volume 3, Issue 1, 2026: 54-63
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A Safety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions

1 College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014, China
2 Zhejiang Key Laboratory of Intelligent Perception and Control for Complex Systems, Zhejiang University of Technology, Hangzhou 310014, China
3 State Key Laboratory of Green Chemical Synthesis and Conversion, Zhejiang University of Technology, Hangzhou 310014, China
* Corresponding Author: Qiang Chen, [email protected]
Volume 3, Issue 1

Abstract

A safety-critical control scheme based on fully actuated system approach (FASA) framework is developed for spacecraft relative motion tracking under external disturbances and multiple forbidden regions. For tracking performance, the nominal controller is designed by using the FASA framework, such that the controller design process can be simplified. For safety constraints, a disturbance-tolerant control barrier function incorporating low-pass filtered disturbance compensation is introduced to mitigate interference effects. Furthermore, a sequential correction strategy is developed to resolve safety constraints through offline-computed quadratic program (QP) solutions, which can eliminate dependence on real-time optimization of the QP solver. Theoretical analysis confirms that the proposed control scheme simultaneously guarantees collision avoidance and the spacecraft relative motion tracking. Numerical simulations further validate the effectiveness of the proposed approach, demonstrating its potential for onboard implementation in resource-constrained spacecraft control systems.

Graphical Abstract

A Safety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions

Keywords

control barrier function fully actuated system approach safety-critical control spacecraft relative motion tracking

Data Availability Statement

Data will be made available on request.

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant U25A20452, Grant 62222315, Grant 61973274, Grant 62233016, and Grant 62203384; in part by the Zhejiang Provincial Natural Science Foundation of China under Grant LZ26F030004; in part by the Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant RF-C2024001.

Conflicts of Interest

The authors declare no conflicts of interest.

AI Use Statement

The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

References

  1. Shi, Y., Hu, Q., Li, D., & Lv, M. (2023). Adaptive optimal tracking control for spacecraft formation flying with event-triggered input. IEEE Transactions on Industrial Informatics, 19(5), 6418–6428.
    [CrossRef] [Google Scholar]
  2. Tillerson, M., Inalhan, G., & How, J. P. (2002). Co‐ordination and control of distributed spacecraft systems using convex optimization techniques. International Journal of Robust and Nonlinear Control: IFAC‐Affiliated Journal, 12(2‐3), 207-242.
    [CrossRef] [Google Scholar]
  3. Gao, H., Yang, X., & Shi, P. (2009). Multi-objective robust $ H_ {\infty $ control of spacecraft rendezvous. IEEE Transactions on Control Systems Technology, 17(4), 794-802.
    [CrossRef] [Google Scholar]
  4. Huang, X., Yan, Y., & Zhou, Y. (2017). Underactuated spacecraft formation reconfiguration with collision avoidance. Acta astronautica, 131, 166-181.
    [CrossRef] [Google Scholar]
  5. Singla, P., Subbarao, K., & Junkins, J. L. (2006). Adaptive output feedback control for spacecraft rendezvous and docking under measurement uncertainty. Journal of guidance, control, and dynamics, 29(4), 892-902.
    [CrossRef] [Google Scholar]
  6. Xin, M., & Pan, H. (2011). Nonlinear optimal control of spacecraft approaching a tumbling target. Aerospace Science and Technology, 15(2), 79-89.
    [CrossRef] [Google Scholar]
  7. Hu, Q., Li, B., & Qi, J. (2014). Disturbance observer based finite-time attitude control for rigid spacecraft under input saturation. Aerospace Science and Technology, 39, 13-21.
    [CrossRef] [Google Scholar]
  8. Hu, Q., Shao, X., & Guo, L. (2017). Adaptive fault-tolerant attitude tracking control of spacecraft with prescribed performance. IEEE/ASME Transactions On Mechatronics, 23(1), 331-341.
    [CrossRef] [Google Scholar]
  9. Xia, Y., Zhu, Z., Fu, M.,& Wang, S. (2010). Attitude tracking of rigid spacecraft with bounded disturbances. IEEE Transactions on Industrial Electronics, 58(2), 647-659.
    [CrossRef] [Google Scholar]
  10. Sun, L., & Huo, W. (2016). Robust adaptive backstepping control for autonomous spacecraft proximity maneuvers. International Journal of Control, Automation and Systems, 14(3), 753-762.
    [CrossRef] [Google Scholar]
  11. Sun, L., & Huo, W. (2015). 6-DOF integrated adaptive backstepping control for spacecraft proximity operations. IEEE Transactions on Aerospace and Electronic Systems, 51(3), 2433-2443.
    [CrossRef] [Google Scholar]
  12. Dong, H., Hu, Q., & Akella, M. R. (2017). Safety control for spacecraft autonomous rendezvous and docking under motion constraints. Journal of Guidance, Control, and Dynamics, 40(7), 1680-1692.
    [CrossRef] [Google Scholar]
  13. Duan, G. R. (2020). High-order system approaches: I. Fully-actuated systems and parametric designs. Acta Automatica Sinica, 46(7), 1333–1345.
    [CrossRef] [Google Scholar]
  14. Duan, G. (2021). High-order fully actuated system approaches: Part II. Generalized strict-feedback systems. International Journal of Systems Science, 52(3), 437-454.
    [CrossRef] [Google Scholar]
  15. Zhao, Q., & Duan, G. R. (2022). Fully actuated system approach for 6DOF spacecraft control based on extended state observer. Journal of Systems Science and Complexity, 35(2), 604–622.
    [CrossRef] [Google Scholar]
  16. Duan, G., & Liu, G. P. (2022). Attitude and orbit optimal control of combined spacecraft via a fully-actuated system approach. Journal of Systems Science and Complexity, 35(2), 623–640.
    [CrossRef] [Google Scholar]
  17. Prajna, S., Jadbabaie, A., & Pappas, G. J. (2007). A framework for worst-case and stochastic safety verification using barrier certificates. IEEE Transactions on Automatic Control, 52(8), 1415-1428.
    [CrossRef] [Google Scholar]
  18. Wieland, P., & Allgöwer, F. (2007). Constructive safety using control barrier functions. IFAC Proceedings Volumes, 40(12), 462-467.
    [CrossRef] [Google Scholar]
  19. Xu, X. (2018). Constrained control of input–output linearizable systems using control sharing barrier functions. Automatica, 87, 195–201.
    [CrossRef] [Google Scholar]
  20. Ames, A. D., Xu, X., Grizzle, J. W., & Tabuada, P. (2016). Control barrier function based quadratic programs for safety critical systems. IEEE Transactions on Automatic Control, 62(8), 3861–3876.
    [CrossRef] [Google Scholar]
  21. Xiao, W., & Belta, C. (2021). High-order control barrier functions. IEEE Transactions on Automatic Control, 67(7), 3655–3662.
    [CrossRef] [Google Scholar]
  22. Breeden, J., & Panagou, D. (2023). Robust control barrier functions under high relative degree and input constraints for satellite trajectories. Automatica, 155, 111109.
    [CrossRef] [Google Scholar]
  23. Wang, X., Yang, J., Liu, C., Yan, Y., & Li, S. (2024). Safety-critical disturbance rejection control of nonlinear systems with unmatched disturbances. IEEE Transactions on Automatic Control, 70(4), 2722–2729.
    [CrossRef] [Google Scholar]
  24. Wang, J., & Sun, Z. (2012). 6-DOF robust adaptive terminal sliding mode control for spacecraft formation flying. Acta Astronautica, 73, 76-87.
    [CrossRef] [Google Scholar]
  25. Duan, G. (2021). High-order fully actuated system approaches: Part V. Robust adaptive control. International Journal of Systems Science, 52(10), 2129–2143.
    [CrossRef] [Google Scholar]
  26. Glotfelter, P., Cortés, J., & Egerstedt, M. (2017). Nonsmooth barrier functions with applications to multi-robot systems. IEEE control systems letters, 1(2), 310-315.
    [CrossRef] [Google Scholar]
  27. Na, J., Jing, B., Huang, Y., Gao, G., & Zhang, C. (2019). Unknown system dynamics estimator for motion control of nonlinear robotic systems. IEEE Transactions on Industrial Electronics, 67(5), 3850-3859.
    [CrossRef] [Google Scholar]

Cited By (1)

  1. Chong Liu, Lei Yang, Jinmeng Lei, Musa Aydin. CMAP-Fusion: A cross-modal feature selection and model pruning framework for laboratory and imaging data. PLOS One, 2026 , 21 (4).
    [CrossRef]
* Citation data provided by Crossref Cited-by.

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APA Style
Yang, X., Chen, Q., & He, X.(2026). ASafety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions. ICCK Transactions on Sensing, Communication, and Control, 3(1), 54-63. https://doi.org/10.62762/TSCC.2025.553018
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TY  - JOUR
AU  - Yang, Xiaoyu
AU  - Chen, Qiang
AU  - He, Xiongxiong
PY  - 2026
DA  - 2026/03/17
TI  - A Safety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions
JO  - ICCK Transactions on Sensing, Communication, and Control
T2  - ICCK Transactions on Sensing, Communication, and Control
JF  - ICCK Transactions on Sensing, Communication, and Control
VL  - 3
IS  - 1
SP  - 54
EP  - 63
DO  - 10.62762/TSCC.2025.553018
UR  - https://www.icck.org/article/abs/TSCC.2025.553018
KW  - control barrier function
KW  - fully actuated system approach
KW  - safety-critical control
KW  - spacecraft relative motion tracking
AB  - A safety-critical control scheme based on fully actuated system approach (FASA) framework is developed for spacecraft relative motion tracking under external disturbances and multiple forbidden regions. For tracking performance, the nominal controller is designed by using the FASA framework, such that the controller design process can be simplified. For safety constraints, a disturbance-tolerant control barrier function incorporating low-pass filtered disturbance compensation is introduced to mitigate interference effects. Furthermore, a sequential correction strategy is developed to resolve safety constraints through offline-computed quadratic program (QP) solutions, which can eliminate dependence on real-time optimization of the QP solver. Theoretical analysis confirms that the proposed control scheme simultaneously guarantees collision avoidance and the spacecraft relative motion tracking. Numerical simulations further validate the effectiveness of the proposed approach, demonstrating its potential for onboard implementation in resource-constrained spacecraft control systems.
SN  - 3068-9287
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
Compatible with LaTeX, BibTeX, and other reference managers
@article{Yang2026A,
  author = {Xiaoyu Yang and Qiang Chen and Xiongxiong He},
  title = {A Safety-Critical Control Scheme for Spacecraft Relative Motion Tracking Based on the Fully Actuated System Approach and Offline QP Solutions},
  journal = {ICCK Transactions on Sensing, Communication, and Control},
  year = {2026},
  volume = {3},
  number = {1},
  pages = {54-63},
  doi = {10.62762/TSCC.2025.553018},
  url = {https://www.icck.org/article/abs/TSCC.2025.553018},
  abstract = {A safety-critical control scheme based on fully actuated system approach (FASA) framework is developed for spacecraft relative motion tracking under external disturbances and multiple forbidden regions. For tracking performance, the nominal controller is designed by using the FASA framework, such that the controller design process can be simplified. For safety constraints, a disturbance-tolerant control barrier function incorporating low-pass filtered disturbance compensation is introduced to mitigate interference effects. Furthermore, a sequential correction strategy is developed to resolve safety constraints through offline-computed quadratic program (QP) solutions, which can eliminate dependence on real-time optimization of the QP solver. Theoretical analysis confirms that the proposed control scheme simultaneously guarantees collision avoidance and the spacecraft relative motion tracking. Numerical simulations further validate the effectiveness of the proposed approach, demonstrating its potential for onboard implementation in resource-constrained spacecraft control systems.},
  keywords = {control barrier function, fully actuated system approach, safety-critical control, spacecraft relative motion tracking},
  issn = {3068-9287},
  publisher = {Institute of Central Computation and Knowledge}
}

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ISSN: 3068-9287 (Online) | ISSN: 3068-9279 (Print)
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