Antisaturation Attitude and Orbit-Coupled Control for Spacecraft Final Safe Approach Based on Fast Nonsingular Terminal Sliding Mode
Publication: Journal of Aerospace Engineering
Volume 32, Issue 2
Abstract
The problem of spacecraft final approach subject to input saturation and a safe constraint is studied in this paper. First, an attitude and orbit-coupling model with input saturation was established for spacecraft final approach. Second, in order to restrict the safe range of motion, a new continuously differentiable collision avoidance safe constraint function was constructed. Combined with the constraint function, an improved fast nonsingular terminal sliding mode manifold was presented. Further, two antisaturation sliding mode control schemes that adopt auxiliary systems to settle the problem of input saturation were proposed. Finally, Lyapunov stability theory was employed to prove that the error states of the closed-loop system under the presented control schemes are finite-time convergent and there are no collisions during the motion process. Meanwhile, simulations were conducted to verify that the chaser can realize the final safe approach with input saturation, which further indicates the effectiveness of the designed control schemes.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the support provided by the China Aerospace Science and Technology Innovation Foundation (CAST No. JZ20160008), the State Key Program of National Natural Science of China (61333003), and the Major Program of Natural Science Foundation of China (61690210).
References
Cairano, S., H. Park, and I. Kolmanovsky. 2012. “Model predictive control approach for guidance of spacecraft rendezvous and proximity maneuvering.” Int. J. Robust Nonlinear Control 22 (12): 1398–1427. https://doi.org/10.1002/rnc.2827.
Capello, E., E. Punta, F. Dabbene, G. Guglieri, and R. Tempo. 2017. “Sliding-mode control strategies for rendezvous and docking maneuvers.” J. Guidance Control Dyn. 40 (6): 1481–1487. https://doi.org/10.2514/1.G001882.
Chen, J., M. G. Gan, J. Huang, L. H. Dou, and H. Fang. 2016. “Formation control of multiple Euler-Lagrange systems via null-space-based behavioral control.” Sci. China Inf. Sci. 59 (1): 1–11. https://doi.org/10.1007/s11432-015-5504-6.
Chen, M., S. S. Ge, and B. B. Ren. 2011. “Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints.” Automatica 47 (3): 452–465. https://doi.org/10.1016/j.automatica.2011.01.025.
Dong, H. Y., Q. L. Hu, and M. R. Akella. 2017. “Safety control for spacecraft autonomous rendezvous and docking under motion constraints.” J. Guidance Control Dyn. 40 (7): 1680–1692. https://doi.org/10.2514/1.G002322.
Feng, L. C., Q. Ni, Y. Z. Bai, X. Q. Chen, and Y. Zhao. 2016. “Optimal sliding mode control for spacecraft rendezvous with collision avoidance.” In Proc., 2016 IEEE Congress on Evolutionary Computation, 2661–2668. Washington, DC: IEEE.
Filipe, N., and P. Tsiotras. 2014. “Adaptive position and attitude-tracking controller for satellite proximity operations using dual quaternions.” J. Guidance Control Dyn. 38 (4): 566–577. https://doi.org/10.2514/1.G000054.
Guo, Y., J. H. Guo, A. J. Li, and C. Q. Wang. 2017a. “Attitude coordination control for formation flying spacecraft based on the rotation matrix.” J. Aerosp. Eng. 30 (5): 04017051. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000759.
Guo, Y., B. Huang, S. Wang, and A. J. Li. 2017b. “Adaptive finite-time control for attitude tracking of spacecraft under input saturation.” J. Aerosp. Eng. 31 (2): 04017086. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000807.
Guo, Y., S. M. Song, and X. H. Li. 2016. “Attitude and orbit coupled control for non-cooperative rendezvous and docking.” Control Theory Appl. 33 (5): 638–644. https://doi.org/10.7641/CTA.2016.50709.
Hu, Q. L., H. Y. Dong, Y. M. Zhang, and G. F. Ma. 2015. “Tracking control of spacecraft formation flying with collision avoidance.” Aerosp. Sci. Technol. 42 (Apr–May): 353–364. https://doi.org/10.1016/j.ast.2014.12.031.
Li, X. H., Z. B. Zhu, and S. M. Song. 2018. “Non-cooperative autonomous rendezvous and docking using artificial potentials and sliding mode control.” Proc. Inst. Mech. Eng. Part G: J. Aerosp. Eng., in press. https://doi.org/10.1177/0954410017748988.
Luo, Y. Z., J. Zhang, and G. J. Tang. 2014. “Survey of orbital dynamics and control of space rendezvous.” Chin. J. Aeronaut. 27 (1): 1–11. https://doi.org/10.1016/j.cja.2013.07.042.
Ma, J. J., Z. Q. Zheng, and P. Li. 2015. “Adaptive dynamic surface control of a class of nonlinear systems with unknown direction control gains and input saturation.” IEEE Trans. Cybern. 45 (4): 728–741. https://doi.org/10.1109/TCYB.2014.2334695.
Shan, M. H., J. Guo, and E. Gill. 2016. “Review and comparison of active space debris capturing and removal methods.” Prog. Aerosp. Sci. 80 (Jan): 18–32. https://doi.org/10.1016/j.paerosci.2015.11.001.
Sun, L. 2015. “Passivity-based adaptive finite-time trajectory tracking control for spacecraft proximity operations.” J. Spacecraft Rockets 53 (1): 46–56. https://doi.org/10.2514/1.A33288.
Sun, L., W. Huo, and Z. X. Jiao. 2017. “Adaptive backstepping control of spacecraft rendezvous and proximity operations with input saturation and full-state constraint.” IEEE Trans. Ind. Electron. 64 (1): 480–492. https://doi.org/10.1109/TIE.2016.2609399.
Wang, H. Q., B. Chen, X. P. Liu, and C. Lin. 2013. “Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints.” IEEE Trans. Cybern. 43 (6): 2093–2104. https://doi.org/10.1109/TCYB.2013.2240296.
Weiss, A., M. Baldwin, R. S. Erwin, and I. Kolmanovsky. 2015. “Model predictive control for spacecraft rendezvous and docking: Strategies for handling constraints and case studies.” IEEE Trans. Control Syst. Technol. 23 (4): 1638–1647. https://doi.org/10.1109/TCST.2014.2379639.
Weiss, A., C. Petersen, M. Baldwin, R. S. Erwin, and I. Kolmanovsky. 2014. “Safe positively invariant sets for spacecraft obstacle avoidance.” J. Guidance Control Dyn. 38 (4): 720–732. https://doi.org/10.2514/1.G000115.
Wu, G. Q., S. M. Song, and J. G. Sun. 2018. “Finite-time anti-saturation control for spacecraft rendezvous and docking with safe constraint.” Proc. Inst. Mech. Eng. Part G: J. Aerosp. Eng., in press. https://doi.org/10.1177/0954410018774678.
Xia, K. W., and W. Huo. 2016a. “Robust adaptive backstepping neural networks control for spacecraft rendezvous and docking with input saturation.” ISA Trans. 62 (May): 249–257. https://doi.org/10.1016/j.isatra.2016.01.017.
Xia, K. W., and W. Huo. 2016b. “Robust adaptive backstepping neural networks control for spacecraft rendezvous and docking with uncertainties.” Nonlinear Dyn. 84 (3): 1683–1695. https://doi.org/10.1007/s11071-016-2597-4.
Xin, M., and H. J. Pan. 2011. “Nonlinear optimal control of spacecraft approaching a tumbling target.” Aerosp. Sci. Technol. 15 (2): 79–89. https://doi.org/10.1016/j.ast.2010.05.009.
Yang, L., and J. Y. Yang. 2011. “Nonsingular fast terminal sliding mode control for nonlinear dynamical systems.” Int. J. Robust Nonlinear Control 21 (16): 1865–1879. https://doi.org/10.1002/rnc.1666.
Zhang, D. W., S. M. Song, and R. Pei. 2010. “Safe guidance for autonomous rendezvous and docking with a non-cooperative target.” In Proc., AIAA Guidance, Navigation, and Control Conf., 1–19. Reston, VA: AIAA.
Zhang, F., G. R. Duan, and M. Z. Hou. 2012. “Integrated relative position and attitude control of spacecraft in proximity operation missions with control saturation.” Int. J. Innovative Comp. Inf. Control 8 (5B): 3537–3551.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 32 • Issue 2 • March 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jun 18, 2018
Accepted: Sep 20, 2018
Published online: Jan 9, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 9, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.