Adaptive Backstepping Attitude Control for Liquid-Filled Spacecraft without Angular Velocity Measurement
Publication: Journal of Aerospace Engineering
Volume 34, Issue 3
Abstract
The attitude tracking form quaternion measurements for a three-axis stabilized liquid-filled spacecraft are studied under uncertain parametric and external disturbances. The sloshing liquid inside the partially filled liquid tank is equivalent to a spherical pendulum model; thus, coupled dynamic equations are derived using the conservation of moment of momentum. Considering the failure of acceleration sensors, when the angular velocity information cannot be obtained, an adaptive robust backstepping control algorithm is proposed by combining the adaptive backstepping control technique with a passive control algorithm. A nonlinear damping algorithm is introduced to enhance the disturbance attenuation ability and robustness performance against lumped disturbances. Globally uniformly ultimately bounded (GUUB) stability of the entire closed-loop system is guaranteed based on the Lyapunov approach. The comparative simulations show that the control strategy is robust and effective for the spacecraft attitude maneuvers.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
The authors would like to sincerely acknowledge the supports of the National Natural Science Foundation of China (Grant Nos. 11962020, 11862020, 11502122, and 11402126), and Inner Mongolia Natural Science Foundation (Grant Nos. 2019MS05065 and 2018LH01014).
References
Cao, X., P. Shi, and Z. Li. 2017. “Neural-network-based adaptive backstepping control with application to spacecraft attitude regulation.” IEEE Trans. Neural Networks Learn. Syst. 29 (9): 4303–4313. https://doi.org/10.1109/TNNLS.2017.2756993.
Chiba, M., and H. Magata. 2017. “Influence of liquid sloshing on dynamics of flexible space structures.” J. Sound Vib. 401 (Aug): 1–22. https://doi.org/10.1016/j.jsv.2017.04.029.
Deng, M. L., and B. Z. Yue. 2016. “Attitude dynamics and control of liquid filled spacecraft with large amplitude fuel slosh.” J. Mech. 33 (1): 125–136. https://doi.org/10.1017/jmech.2016.60.
Deng, M. L., and B. Z. Yue. 2017a. “Attitude tracking control of flexible spacecraft with large amplitude slosh.” Acta Mech. Sin. 33 (6): 1095–1102. https://doi.org/10.1007/s10409-017-0700-9.
Deng, M. L., and B. Z. Yue. 2017b. “Nonlinear model and attitude dynamics of flexible spacecraft with large amplitude slosh.” Acta Astronaut. 133 (Apr): 111–120. https://doi.org/10.1016/j.actaastro.2017.01.003.
Di Gennaro, S. 2003. “Passive attitude control of flexible spacecraft from quaternion measurements.” J. Optim. Theory Appl. 116 (1): 41–60. https://doi.org/10.1023/A:1022106118182.
Dong, R. Q., Y. Y. Wu, Y. Zhang, and A. G. Wu. 2019. “Adaptive backstepping attitude control law with L2-gain performance for flexible spacecraft.” Int. J. Aerosp. Eng. 2019 (100): 1–11. https://doi.org/10.1155/2019/6392175.
Gasbarri, P., M. Sabatini, and N. Leonangeli. 2014. “Flexibility issues in discreteon–off actuated spacecraft: Numerical and experimental tests.” Acta Astronaut. 101 (Aug): 81–97. https://doi.org/10.1016/j.actaastro.2014.04.012.
Hu, Q., B. Li, X. Huo, and Z. Shi. 2013. “Spacecraft attitude tracking control under actuator magnitude deviation and misalignment.” Aerosp. Sci. Technol. 28 (1): 266–280. https://doi.org/10.1016/j.ast.2012.11.007.
Jiang, T., F. B. Zhang, and D. F. Lin. 2020. “Finite-time backstepping for attitude tracking with disturbances and input constraints.” Int. J. Control Autom. Syst. 18 (9): 1487–1497. https://doi.org/10.1007/s12555-019-0303-2.
Khalil, H. K. 2000. “On the design of robust servomechanisms for minimum phase nonlinear systems.” Int. J. Robust Nonlinear Control 10 (5): 339–361. https://doi.org/10.1002/(SICI)1099-1239(20000430)10:5%3C339::AID-RNC487%3E3.0.CO;2-M.
Khalil, H. K., and J. W. Grizzle. 2002. Nonlinear systems. Upper Saddle River, NJ: Prentice Hall.
Kim, K. S., and Y. Kim. 2003. “Robust backstepping control for slew maneuver using nonlinear tracking function.” IEEE Trans. Control Syst. Technol. 11 (6): 822–829. https://doi.org/10.1109/TCST.2003.815608.
Li, P. 2017. “Global finite-time attitude consensus tracking control for a group of rigid spacecraft.” Int. J. Syst. Sci. 48 (13): 2703–2712. https://doi.org/10.1080/00207721.2017.1363311.
Liu, F., B. Yue, and Y. Tang. 2019. “3DOF-rigid-pendulum analogy for nonlinear liquid slosh in spherical propellant tanks.” J. Sound Vib. 460 (Nov): 114907. https://doi.org/10.1016/j.jsv.2019.114907.
Liu, F., B. Yue, and L. Zhao. 2018. “Attitude dynamics and control of spacecraft with a partially filled liquid tank and flexible panels.” Acta Astronaut. 143 (Feb): 327–336. https://doi.org/10.1016/j.actaastro.2017.11.036.
Lizarralde, F., and J. T. Wen. 1996. “Attitude control without angular velocity measurement: A passivity approach.” IEEE Trans. Autom. Control 41 (3): 468–472. https://doi.org/10.1109/9.486654.
Lungu, M. 2019. “Auto-landing of fixed wing unmanned aerial vehicles using the backstepping control.” ISA Trans. 95 (Dec): 194–210. https://doi.org/10.1016/j.isatra.2019.05.019.
Lungu, M. 2020. “Backstepping and dynamic inversion combined controller for auto-landing of fixed wing.” Aerospace Sci. Technol. 96 (Jan): 105526. https://doi.org/10.1016/j.ast.2019.105526.
Malekzadeh, M., and H. Sadeghian. 2019. “Attitude control of spacecraft simulator without angular velocity measurement.” Control Eng. Pract. 84 (Mar): 72–81. https://doi.org/10.1016/j.conengprac.2018.11.011.
Reyhanoglu, M., and J. R. Hervas. 2012. “Nonlinear dynamics and control of space vehicles with multiple fuel slosh modes.” Control Eng. Pract. 20 (9): 912–918. https://doi.org/10.1016/j.conengprac.2012.05.011.
Shen, Q., C. Yue, and C. H. Goh. 2018. “Active fault-tolerant control system design for spacecraft attitude maneuvers with actuator saturation and faults.” IEEE Trans. Ind. Electron. 66 (5): 3763–3772. https://doi.org/10.1109/TIE.2018.2854602.
Song, X. J., and S. F. Lu. 2019. “Attitude maneuver control of liquid-filled spacecraft with unknown inertia and disturbances.” J. Vib. Control 25 (8): 1460–1469. https://doi.org/10.1177/1077546318820414.
Sun, L., W. Huo, and Z. Jiao. 2016. “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.
Sun, L., and Z. Zheng. 2017. “Disturbance-observer-based robust backstepping attitude stabilization of spacecraft under input saturation and measurement uncertainty.” IEEE Trans. Ind. Electron. 64 (10): 7994–8002. https://doi.org/10.1109/TIE.2017.2694349.
Tsiotras, P. 1995. “A passivity approach to attitude stabilization using nonredundant kinematic parameterizations.” In Vol. 1 of Proc., 1995 34th IEEE Conf. on Decision and Control, 515–520. Piscataway, NJ: IEEE. https://doi.org/10.1109/CDC.1995.478944.
Wen, H. X. Yue, and J. Yuan. 2018. “Dynamic scaling–based noncertainty-equivalent adaptive spacecraft attitude tracking control.” J. Aerosp. Eng. 31 (2): 04017098. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000818.
Xia, K., and H. Son. 2020. “Guaranteed performance based adaptive attitude tracking of spacecraft with control constraints.” Adv. Space Res. 65 (3): 1095–1104. https://doi.org/10.1016/j.asr.2019.10.016.
Yan, Y., and B. Yue. 2016. “Stability analysis of liquid filled spacecraft system with flexible attachment by using the energy—Casimir method.” Theor. Appl. Mech. Lett. 6 (2): 100–106. https://doi.org/10.1016/j.taml.2016.03.001.
Yin, C. W., M. S. Hou, and M. X. Li. 2015. “Attitude stability control of capturing spacecraft without angular velocity.” In Proc., 2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC), 816–820. Piscataway, NJ: IEEE. https://doi.org/10.1109/IAEAC.2015.7428670.
Yin, Z., J. Luo, and C. Wei. 2018. “Novel adaptive saturated attitude tracking control of rigid spacecraft with guaranteed transient and steady-state performance.” J. Aerosp. Eng. 31 (5): 04018062. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000884.
Yue, B. Z. 2011. “Study on the chaotic dynamics in attitude maneuver of liquid-filled flexible spacecraft.” AIAA J. 49 (10): 2090–2099. https://doi.org/10.2514/1.J050144.
Yue, B. Z., and L. M. Zhu. 2014. “Hybrid control of liquid-filled spacecraft maneuvers by dynamic inversion and input shaping.” AIAA J. 52 (3): 618–626. https://doi.org/10.2514/1.J052526.
Zhang, H., and Z. Wang. 2016. “Attitude control and sloshing suppression for liquid-filled spacecraft in the presence of sinusoidal disturbance.” J. Sound Vib. 383 (Nov): 64–75. https://doi.org/10.1016/j.jsv.2016.08.001.
Zhao, L., J. Yu, and P. Shi. 2019. “Command filtered backstepping-based attitude containment control for spacecraft formation.” IEEE Trans. Syst. Man Cybern.: Syst. 51 (2): 1278–1287. https://doi.org/10.1109/TSMC.2019.2896614.
Zong, Q., S. Shao, and B. Tian. 2018. “Finite-time output feedback attitude synchronization for multiple spacecraft.” Trans. Inst. Meas. Control 40 (10): 3023–3039. https://doi.org/10.1177/0142331217713075.
Zou, A. M., A. H. J. de Ruiter, and K. D. Kumar. 2016. “Distributed finite-time velocity-free attitude coordination control for spacecraft formations.” Automatica 67 (May): 46–53. https://doi.org/10.1016/j.automatica.2015.12.029.
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© 2021 American Society of Civil Engineers.
History
Received: Mar 6, 2020
Accepted: Nov 18, 2020
Published online: Mar 10, 2021
Published in print: May 1, 2021
Discussion open until: Aug 10, 2021
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