Abstract
This paper aims to investigate a coupled orbit-attitude control strategy for a kind of novel spacecraft, solar sail, to track the given orbit in Earth-Moon 3-Body dynamic environment in presence of the matched and mismatched disturbances, attitude control saturation, orbital modeling error and parametric uncertainties. A cascaded triple-loop control structure is proposed to deal with the strong couplings between the orbit and attitude systems. The inner loop focusing on the orbital effects on attitude dynamics, an adaptive saturation controller is proposed to achieve attitude angular tracking, where the uncertain inertia, unknown matched disturbance and saturated attitude control torque are compensated by combining the unknown knowledge. The middle loop is to handle the orbit effects on attitude kinematics facing the mismatched disturbance. In the outer loop, the effects of attitude system on orbit dynamics are deal with, where an adaptive orbit controller is designed considering the uncertain optical parameter and orbital modeling error. The proposed control structure efficiently simplifies the coupled orbit-attitude control design for solar sail. In contrast to traditional coupled controllers for solar sail, the proposed control laws do not require exact knowledge of parametric uncertainties, disturbances and orbit modeling errors. The combination of unknown information reduces the number of estimated parameters as well. The numerical simulation results demonstrate the effectiveness of the proposed control strategy.
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References
A. Peloni, B. Dachwald, and M. Ceriotti, “Multiple near-earth asteroid rendezvous mission: Solar-sailing options,” Advances in Space Research, vol. 62, no. 8, pp. 2084–2098, 2018.
M. Macdonald and C. R. McInnes, “Solar sail science mission applications and advancement,” Advances in Space Research, vol. 48, no. 11, pp. 1702–1716, 2011.
R. J. McKay, M. Macdonald, J. Biggs, and C. R. McInnes, “Survey of highly non-Keplerian orbits with low-thrust propulsion,” Journal of Guidance, Control, and Dynamics, vol. 34, no. 3, pp. 645–666, 2011.
J. Heiligers, S. Hiddink, R. Noomen, and C. R. McInnes, “Solar sail Lyapunov and Halo orbits in the Earth-Moon three-body problem,” Acta Astronautica, vol. 116, pp. 25–35, 2015.
J. Heiligers, J. S. Parker, and M. Malcolm, “Novel solar-sail mission concepts for high-latitude Earth and lunar observation,” Journal of Guidance, Control, and Dynamics, vol. 41, no. 1, pp. 212–230, 2018.
J. Yuan, C. Gao, and J. Zhang, “Periodic orbits of solar sail equipped with reflectance control device in Earth-Moon system,” Astrophysics and Space Science, vol. 363, Article number 23, 2018.
J. Bookless and C. R. McInnes, “Dynamics and control of displaced periodic orbits using solar-sail propulsion,” Journal of Guidance, Control, and Dynamics, vol. 29, no. 3, pp. 527–537, 2018.
J. D. Biggs, C. R. McInnes, and T. Waters, “Control of solar sail periodic orbits in the elliptic three-body problem,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 1, pp. 318–320, 2009.
J. Bookless and C. R. McInnes, “Control of Lagrange point orbits using solar sail propulsion,” Acta Astronautica, vol. 62, no. 2–3, pp. 159–176, 2008.
S. Gong, J. Li, and J. Simo, “Orbital motions of a solar sail around the L2 Earth-Moon libration point,” Journal of Guidance, Control, and Dynamics, vol. 37, no. 4, pp. 1349–1356, 2014.
Z. Lou, K. Zhang, Y. Wang, and Q. Gao, “Active disturbance rejection station-keeping control for solar-sail libration-point orbits,” Journal of Guidance, Control, and Dynamics, pp. 1917–1921, 2016.
C. R. McInnes, Solar Sailing: Technology, Dynamics and Mission Applications, Springer Science & Business Media, 2004.
S. Gong, H. Baoyin, and J. Li, “Coupled attitude-orbit dynamics and control for displaced solar orbits,” Acta Astronautica, vol. 65, no. 5–6, pp. 730–737, 2009.
M. Huo, J. Zhao, S. Xie, and N. Qi, “Coupled attitude-orbit dynamics and control for an electric sail in a heliocentric transfer mission,” PloS One, vol. 10, no. 5, e0125901, 2015. DOI: https://doi.org/10.1371/journal.pone.0125901
D. Tamakoshi and H. Kojima, “Solar sail orbital control using reflectivity variations near the Earth-Moon L2 point,” Journal of Guidance, Control, and Dynamics, vol. 41, no. 2, pp. 417–430, 2018.
B. Wie, “Solar sail attitude control and dynamics, part two,” Journal of Guidance, Control, and Dynamics, vol. 27, no. 4, pp. 536–544, 2004.
B. Wie and D. Murphy, “Solar-sail attitude control design for a flight validation mission,” Journal of Spacecraft and Rockets, vol. 44, no. 4, pp. 809–821, 2007.
S. N. Adeli, V. J. Lappas, and B. Wie, “A scalable bus-based attitude control system for Solar Sails,” Advances in Space Research, vol. 48, no. 11, pp. 1836–1847, 2011.
J. Baculi and M. Ayoubi, “Fuzzy attitude control of solar sail via linear matrix inequalities,” Acta Astronautica, vol. 138, pp. 233–241, 2017.
O. Eldad, E. G. Lightsey, and C. Claudel, “Minimum-time attitude control of deformable solar sails with model uncertainty,” Journal of Spacecraft and Rockets, vol. 54, no. 4, pp. 863–870, 2017.
L. Sun, W. Huo, and Z. Jiao, “Adaptive backstepping control of spacecraft rendezvous and proximity operations with input saturation and full-state constraint,” IEEE Transactions on Industrial Electronics, vol. 64, no. 1, pp. 480–492, 2016.
L. Sun and G. Sun, “Robust adaptive saturated fault-tolerant control of autonomous rendezvous with mismatched disturbances,” International Journal of Control, Automation and Systems, vol. 17, no. 11, pp. 2703–2713, 2019.
J. Qiao, Z. Li, J. Xu, and X. Yu, “Composite nonsingular terminal sliding mode attitude controller for spacecraft with actuator dynamics under matched and mismatched disturbances,” IEEE Transactions on Industrial Informatics, vol. 16, no. 2, pp. 1153–1162, 2020.
C. Scholz, D. Romagnoli, B. Dachwald, and S. Theil, “Performance analysis of an attitude control system for solar sails using sliding masses,” Advances in Space Research, vol. 48, no. 11, pp. 1822–1835, 2011.
H. Hung and J. Zhou, “Solar sailing CubeSat attitude control method with satellite as moving mass,” Acta Astronautica, vol. 159, pp. 331–341, 2019.
S. Hassanpour and C. J. Damaren, “Collocated attitude and vibrations control for square solar sails with tip vanes,” Acta Astronautica, vol. 166, pp. 482–492, 2020.
S. Hassanpour and C. J. Damaren, “Linear structural dynamics and tip-vane attitude control for square solar sails,” Journal of Guidance, Control, and Dynamics, vol. 41, no. 11, pp. 2401–2415, 2018.
J. Biggs and A. Negri, “Orbit-attitude control in a circular restricted three-body problem using distributed reflectivity devices,” Journal of Guidance, Control, and Dynamics, vol. 42, no. 12, pp. 2712–2721, 2019.
T. Hu, S. Gong, J. Mu, J. Li, T, Wang, and W. Qian, “Switch programming of reflectivity control devices for the coupled dynamics of a solar sail,” Advances in Space Research, vol. 57, no. 5, pp. 1147–1158, 2016.
J. Mu, S. Gong, and J. Li, “Coupled control of reflectivity modulated solar sail for GeoSail formation flying,” Journal of Guidance, Control, and Dynamics, vol. 38, no. 4, pp. 740–751, 2015.
X. Lian, J. Liu, C. Wang, T. Yuan, and N. Cui, “RBF network based adaptive sliding mode control for solar sails,” Aircraft Engineering and Aerospace Technology, vol. 90, no. 8, pp. 1180–1191, 2018.
B. Dachwald, G. Mengali, A. A. Quarta, and M. Macdonald, “Parametric model and optimal control of solar sails with optical degradation,” Journal of Guidance, Control, and Dynamics, vol. 29, no. 5, pp. 1170–1178, 2006.
B. Dachwald, M. Macdonald, C. R. Colin, G. Mengali, and A. A. Quarta, “Impact of optical degradation on solar sail mission performance,” Journal of Spacecraft and Rockets, vol. 44, no. 4, pp. 740–749, 2007.
K. Lu, Y. Xia, and M. Fu, “Controller design for rigid spacecraft attitude tracking with actuator saturation,” Information Sciences, vol. 220, pp. 343–366, 2013.
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Recommended by Associate Editor Yingmin Jia under the direction of Editor Fumitoshi Matsuno.
This work is supported by the Natural Science Foundation of China (61973167).
Liping Wu is a Ph.D. candidate in control science and engineering of Nanjing University of Science and Technology, China. Her main research interests include attitude control of spacecraft, orbit and attitude control of solar sail, adaptive control and so forth.
Yu Guo received her B.Sc. and M.Sc. degrees in automation, both from Huazhong University of Science and Technology, Wuhan, China, in 1984 and 1987, respectively, and her Ph.D. degree in control science and engineering from Nanjing University of Science and Technology. In 1987, she joined the faculty of the School of Automation, Nanjing University of Science and Technology, and is currently a Professor of Automatic Control there. Her main research interests include intelligent robot control, optimization for complicated systems and so forth.
Zhihao Zhu received his B.S. degree in automation and an M.S. degree in system engineering from Yanshan University, in 2007 and 2010, respectively. He received his Ph.D. degree in control science and engineering from Nanjing University of Science and Technology. In 2020, he joined the faculty of the School of Electrical Engineering, Yancheng Institute of Technology. His main research interests include spacecraft formation flying control, coordination control, robot control, multi-agent control and nonlinear control.
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Wu, L., Guo, Y. & Zhu, Z. Coupled Orbit-attitude Saturated Control for Solar Sail in Earth-Moon 3-body System. Int. J. Control Autom. Syst. 19, 3631–3641 (2021). https://doi.org/10.1007/s12555-020-0215-1
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DOI: https://doi.org/10.1007/s12555-020-0215-1