Spin-Up and Appointed Time Attitude Control of Tethered Spacecraft for Artificial Gravity
Publication: Journal of Aerospace Engineering
Volume 36, Issue 5
Abstract
This paper investigates an artificial gravity strategy using the spinning tethered spacecraft (STS), which is spun along orbital direction. An appointed-time prescribed performance (ATPP) attitude controller of tethered spacecraft with unknown external disturbance is proposed by backstepping technology. First, the compound thrust control scheme is presented to provide an ideal artificial gravity overload by the centrifugal force on the tether. Then, the novel performance function is devised to ensure the dynamic response of the system but also achieves appointed-time stability. Compared with the traditional disturbance rejection method, an asymmetric barrier function is introduced to suppress unknown disturbances without estimated information. Based on the spin control scheme and the proposed attitude control strategy, the system is proved to be globally uniformly appointed-time stable in the presence of unknown disturbance. Furthermore, applications to the STS are employed to show the effectiveness of the ATPP control approach for artificial gravity.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 61803307 and 62111530051) and the Fundamental Research Funds for the Central Universities of China (Grant No. D5000220031).
References
Chung, S. J., J. E. Slotine, and D. W. Miller. 2008. “Propellant-free control of tethered formation flight, Part 2: Nonlinear underactuated control.” J. Guid. Control Dyn. 31 (5): 1437–1446. https://doi.org/10.2514/1.32189.
Clement, G., and A. Bukley. 2007. Artificial gravity. New York: Springer.
Gou, X.-W., A.-J. Li, Y.-Y. Ge, and C.-Q. Wang. 2018a. “Fractional order attitude stability control for sub-satellite of tethered satellite system during deployment.” Appl. Math. Modell. 62 (Oct): 272–286. https://doi.org/10.1016/j.apm.2018.04.005.
Gou, X.-W., A.-J. Li, H.-C. Tian, C.-Q. Wang, and H.-S. Lu. 2018b. “Overload control of artificial gravity facility using spinning tether system for high eccentricity transfer orbits.” Acta Astronaut. 147 (3): 383–392. https://doi.org/10.1016/j.actaastro.2018.03.005.
Guo, Y., B. Huang, A. Li, and C. Wang. 2019a. “Integral sliding mode control for Euler-Lagrange systems with input saturation.” Int. J. Robust Nonlinear 29 (4): 1088–1100. https://doi.org/10.1002/rnc.4431.
Guo, Y., B. Huang, S. Song, A. Li, and C. Wang. 2019b. “Robust saturated finite-time attitude control for spacecraft using integral sliding mode.” J. Guid. Control Dyn. 42 (2): 440–446. https://doi.org/10.2514/1.G003520.
Hu, Q., X. Shao, and L. Guo. 2017. “Adaptive fault-tolerant attitude tracking control of spacecraft with prescribed performance.” IEEE/ASME Trans. Mechatron. 23 (1): 331–341. https://doi.org/10.1109/TMECH.2017.2775626.
Hua, C., P. Ning, K. Li, and X. Guan. 2020. “Fixed-time prescribed tracking control for stochastic nonlinear systems with unknown measurement sensitivity.” IEEE Trans. Cybern. 52 (5): 3722–3732. https://doi.org/10.1109/TCYB.2020.3012560.
Huang, B., A. Li, Y. Guo, and C. Wang. 2018a. “Fixed-time attitude tracking control for spacecraft without unwinding.” Acta Astronaut. 151 (10): 818–827. https://doi.org/10.1016/j.actaastro.2018.04.041.
Huang, B., A. Li, Y. Guo, and C. Wang. 2019. “Rotation matrix based finite-time attitude synchronization control for spacecraft with external disturbances.” ISA Trans. 85 (Feb): 141–150. https://doi.org/10.1016/j.isatra.2018.10.027.
Huang, P., F. Zhang, L. Chen, Z. Meng, Y. Zhang, Z. Liu, and Y. Hu. 2018b. “A review of space tether in new applications.” Nonlinear Dyn. 94 (Oct): 1–19. https://doi.org/10.1007/s11071-018-4389-5.
Jing, Y., Y. Liu, and S. Zhou. 2019. “Prescribed performance finite-time tracking control for uncertain nonlinear systems.” J. Syst. Sci. Complexity 32 (3): 803–817. https://doi.org/10.1007/s11424-018-7287-5.
Jung, W., A. Mazzoleni, and J. Chung. 2015. “Nonlinear dynamic analysis of a three-body tethered satellite system with deployment/retrieval.” Nonlinear Dyn. 82 (3): 1127–1144. https://doi.org/10.1007/s11071-015-2221-z.
Jung, W., A. P. Mazzoleni, and J. Chung. 2014. “Dynamic analysis of a tethered satellite system with a moving mass.” Nonlinear Dyn. 75 (Jan): 267–281. https://doi.org/10.1007/s11071-013-1064-8.
Kang, J., and Z. H. Zhu. 2018. “De-spin of massive rotating space object by tethered space tug.” J. Guid. Control Dyn. 41 (11): 2463–2469. https://doi.org/10.2514/1.G003584.
Kang, J., and Z. H. Zhu. 2019a. “Dynamics and control of de-spinning giant asteroids by small tethered spacecraft.” Aerosp. Sci. Technol. 94 (9): 105394. https://doi.org/10.1016/j.ast.2019.105394.
Kang, J., and Z. H. Zhu. 2019b. “A unified energy-based control framework for tethered spacecraft deployment.” Nonlinear Dyn. 95 (2): 1117–1131. https://doi.org/10.1007/s11071-018-4619-x.
Kim, G. W., S. B. Choi, and J. Kang. 2020. “Dynamic modeling and spin control for deployment of spin-type heliogyro solar sail.” J. Spacecraft Rockets 57 (3): 464–472. https://doi.org/10.2514/1.A34582.
Laghrouche, S., M. Harmouche, Y. Chitour, H. Obeid, and L. Fridman. 2021. “Barrier function-based adaptive higher order sliding mode controllers.” Automatica 123 (1): 109355. https://doi.org/10.1016/j.automatica.2020.109355.
Li, A., H. Tian, and C. Wang. 2020. “Fixed-time terminal sliding mode control of spinning tether system for artificial gravity environment in high eccentricity orbit.” Acta Astronaut. 177 (12): 834–841. https://doi.org/10.1016/j.actaastro.2020.03.013.
Li, G., Z. Zhu, and C. Du. 2021. “Stability and control of radial deployment of electric solar wind sail.” Nonlinear Dyn. 103 (1): 481–501. https://doi.org/10.1007/s11071-020-06067-7.
Lu, H., A. Li, C. Wang, and Y. Zabolotnov. 2021. “Tether deformation of spinning electrodynamic tether system and its suppression with optimal controller.” J. Aerosp. Eng. 34 (2): 04021003. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001233.
Lu, Y., P. Huang, and Z. Meng. 2019. “Adaptive neural network dynamic surface control of the post-capture tethered spacecraft.” IEEE Trans. Aerosp. Electron. Syst. 56 (2): 1406–1419. https://doi.org/10.1109/TAES.2019.2930015.
Luo, C., J. Sun, H. Wen, and D. Jin. 2020. “Dynamics of a tethered satellite formation for space exploration modeled via ANCF.” Acta Astronaut. 177 (12): 882–890. https://doi.org/10.1016/j.actaastro.2019.11.028.
Luo, J., Z. Yin, C. Wei, and J. Yuan. 2018. “Low-complexity prescribed performance control for spacecraft attitude stabilization and tracking.” Aerosp. Sci. Technol. 74 (3): 173–183. https://doi.org/10.1016/j.ast.2018.01.002.
Martin, K. M., D. F. Landau, and J. M. Longuski. 2016. “Method to maintain artificial gravity during transfer maneuvers for tethered spacecraft.” Acta Astronaut. 120 (3): 138–153. https://doi.org/10.1016/j.actaastro.2015.11.030.
Qi, R., A. Shi, A. K. Misra, D. Kumar, and J. Zhang. 2019. “Coulomb tether double-pyramid formation, a potential configuration for geostationary satellite collocation.” Aerosp. Sci. Technol. 84 (1): 1131–1140. https://doi.org/10.1016/j.ast.2018.11.036.
Qiu, J., T. Wang, K. Sun, I. J. Rudas, and H. Gao. 2021. “Disturbance observer-based adaptive fuzzy control for strict-feedback nonlinear systems with finite-time prescribed performance.” IEEE Trans. Fuzzy Syst. 30 (4): 1175–1184. https://doi.org/10.1109/TFUZZ.2021.3053327.
Shao, X., Q. Hu, Y. Shi, and B. Jiang. 2018. “Fault-tolerant prescribed performance attitude tracking control for spacecraft under input saturation.” IEEE Trans. Control Syst. Technol. 28 (2): 574–582. https://doi.org/10.1109/TCST.2018.2875426.
Wei, C., J. Luo, Z. Yin, and J. Yuan. 2018. “Leader-following consensus of second-order multi-agent systems with arbitrarily appointed-time prescribed performance.” IET Control Theory Appl. 12 (16): 2276–2286. https://doi.org/10.1049/iet-cta.2018.5158.
Wen, H., L. Huang, S. Xu, and D. Jin. 2021. “Angular velocity observer for space tether exploiting non-singular dynamics and vector measurements.” Nonlinear Dyn. 104 (1): 399–410. https://doi.org/10.1007/s11071-021-06211-x.
Williams, P. 2008. “Deployment/retrieval optimization for flexible tethered satellite systems.” Nonlinear Dyn. 52 (1–2): 159–179. https://doi.org/10.1007/s11071-007-9269-3.
Williams, P. 2010. “Tether capture and momentum exchange from hyperbolic orbits.” J. Spacecraft Rockets 47 (1): 205–210. https://doi.org/10.2514/1.44873.
Yin, Z., A. Suleman, J. Luo, and C. Wei. 2019. “Appointed-time prescribed performance attitude tracking control via double performance functions.” Aerosp. Sci. Technol. 93 (Oct): 105337. https://doi.org/10.1016/j.ast.2019.105337.
Zhai, G., F. Su, J. Zhang, and B. Liang. 2017. “Deployment strategies for planar multi-tethered satellite formation.” Aerosp. Sci. Technol. 71 (12): 475–484. https://doi.org/10.1016/j.ast.2017.10.009.
Zhang, J., A. Shi, and K. Yang. 2022. “Dynamics of tethered-coulomb formation for debris deorbiting in geosynchronous orbit.” J. Aerosp. Eng. 35 (3): 04022015. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001406.
Zhang, Y., C. Hua, and K. Li. 2019. “Disturbance observer-based fixed-time prescribed performance tracking control for robotic manipulator.” Int. J. Syst. Sci. 50 (13): 2437–2448. https://doi.org/10.1080/00207721.2019.1622818.
Zhong, R., and Z. H. Zhu. 2019. “Attitude stabilization of tug–towed space target by thrust regulation in orbital transfer.” IEEE/ASME Trans. Mechatron. 24 (1): 373–383. https://doi.org/10.1109/TMECH.2019.2892331.
Zuo, Z., and L. Tie. 2016. “Distributed robust finite-time nonlinear consensus protocols for multi-agent systems.” Int. J. Syst. Sci. 47 (6): 1366–1375. https://doi.org/10.1080/00207721.2014.925608.
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© 2023 American Society of Civil Engineers.
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Received: May 22, 2022
Accepted: Apr 27, 2023
Published online: Jun 28, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 28, 2023
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