Adaptive Prescribed-Time Tracking Control of Spacecraft with Deferred Full-State Constraints
Publication: Journal of Aerospace Engineering
Volume 36, Issue 1
Abstract
This paper investigates the prescribed-time tracking control problem for spacecraft with parametric uncertainties and deferred full-state constraints. Such kinds of constraints universally take effect some time after the system maneuvers, instead of being fulfilled initially, and are regularly encountered in practical applications. To achieve the deferred constraints, the modified states are incorporated into the control system with the aid of the state shifting function, thus removing the feasibility condition required by the traditional barrier Lyapunov functions. Considering that most of the existing results are only able to achieve tracking control in an asymptotic or finite-time manner, in this paper a prescribed-time control strategy for a spacecraft tracking control system is therefore studied. Synthesized with deferred constraints, the settling time can be roughly specified in a predetermined time bucket. Moreover, the parametric uncertainties can be addressed with a neural-based minimum-learning-parameter (MLP) algorithm. Finally, simulation results are provided to illustrate the efficacy of the designed control strategy.
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Data Availability Statement
No data, models, or code were generated or used during the study.
References
Cao, H., H. Shao, X. Zhong, Q. Deng, X. Yang, and J. Xuan. 2022. “Unsupervised domain-share CNN for machine fault transfer diagnosis from steady speeds to time-varying speeds.” J. Manuf. Syst. 62: 186–198. https://doi.org/10.1016/j.jmsy.2021.11.016.
Cao, X., P. Shi, Z. Li, and M. Liu. 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.
Chai, R., A. Savvaris, A. Tsourdos, S. Chai, and Y. Xia. 2018. “Optimal tracking guidance for aeroassisted spacecraft reconnaissance mission based on receding horizon control.” IEEE Trans. Aerosp. Electron. Syst. 54 (4): 1575–1588. https://doi.org/10.1109/TAES.2018.2798219.
Chen, J., and C. Hua. 2020. “Adaptive full-state-constrained control of nonlinear systems with deferred constraints based on nonbarrier Lyapunov function method.” IEEE Trans. Cybern. 52 (8): 7634–7642.
Dong, H., and X. Yang. 2021. “Adaptive neural finite-time control for space circumnavigation mission with uncertain input constraints.” J. Franklin Inst. 358 (7): 3353–3375. https://doi.org/10.1016/j.jfranklin.2021.02.011.
Fu, Y. M., and C. J. Li. 2016. “Parametric method for spacecraft trajectory tracking control problem with stochastic thruster fault.” IET Control Theory Appl. 10 (17): 2331–2338. https://doi.org/10.1049/iet-cta.2016.0353.
Gao, S., X. Liu, Y. Jing, and G. M. Dimirovski. 2021. “A novel finite-time prescribed performance control scheme for spacecraft attitude tracking.” Aerosp. Sci. Technol. 118 (Nov): 107044. https://doi.org/10.1016/j.ast.2021.107044.
Guo, Y., and S. M. Song. 2013. “Finite-time control for formation flying spacecraft with coupled attitude and translational dynamics.” In Proc., 2013 10th IEEE Int. Conf. on Control and Automation (ICCA), 89–94. New York: IEEE.
Hu, Q., B. Li, and Y. Zhang. 2013. “Robust attitude control design for spacecraft under assigned velocity and control constraints.” ISA Trans. 52 (4): 480–493. https://doi.org/10.1016/j.isatra.2013.03.003.
Hu, Q., Y. Shi, and C. Wang. 2019a. “Event-based formation coordinated control for multiple spacecraft under communication constraints.” IEEE Trans. Syst. Man Cybern. Syst. 51 (5): 3168–3179. https://doi.org/10.1109/TSMC.2019.2919027.
Hu, Q., and X. Tan. 2017. “Unified attitude control for spacecraft under velocity and control constraints.” Aerosp. Sci. Technol. 67 (Aug): 257–264. https://doi.org/10.1016/j.ast.2017.04.009.
Hu, Q., J. Xie, and C. Wang. 2019b. “Dynamic path planning and trajectory tracking using MPC for satellite with collision avoidance.” ISA Trans. 84 (Jan): 128–141. https://doi.org/10.1016/j.isatra.2018.09.020.
Kristiansen, R., and P. J. Nicklasson. 2009. “Spacecraft formation flying: A review and new results on state feedback control.” Acta Astronaut. 65 (11–12): 1537–1552. https://doi.org/10.1016/j.actaastro.2009.04.014.
Lee, U., and M. Mesbahi. 2014. “Feedback control for spacecraft reorientation under attitude constraints via convex potentials.” IEEE Trans. Aerosp. Electron. Syst. 50 (4): 2578–2592. https://doi.org/10.1109/TAES.2014.120240.
Li, D., G. Ma, C. Li, W. He, J. Mei, and S. S. Ge. 2018. “Distributed attitude coordinated control of multiple spacecraft with attitude constraints.” IEEE Trans. Aerosp. Electron. Syst. 54 (5): 2233–2245. https://doi.org/10.1109/TAES.2018.2812438.
Li, X., H. Shao, S. Lu, J. Xiang, and B. Cai. 2022. “Highly efficient fault diagnosis of rotating machinery under time-varying speeds using LSISMM and small infrared thermal images.” IEEE Trans. Syst. Man Cybern.: Syst. 1–13. https://doi.org/10.1109/TSMC.2022.3151185.
Li, Y., S. Liang, and M. Hou. 2020. “Asymptotic tracking control for uncertain strict-feedback nonlinear systems with delayed full-state constraints.” Int. J. Robust Nonlinear Control 30 (18): 8174–8191. https://doi.org/10.1002/rnc.5227.
Liu, B., M. Hou, C. Wu, W. Wang, Z. Wu, and B. Huang. 2021a. “Predefined-time backstepping control for a nonlinear strict-feedback system.” Int. J. Robust Nonlinear Control 31 (8): 3354–3372. https://doi.org/10.1002/rnc.5425.
Liu, Y., X. Chen, Y. Wu, H. Cai, and H. Yokoi. 2021b. “Adaptive neural network control of a flexible spacecraft subject to input nonlinearity and asymmetric output constraint.” IEEE Trans. Neural Network Learn. Syst. 2021 (Feb): 17.
Liu, Y. J., S. Lu, S. Tong, X. Chen, C. P. Chen, and D. J. Li. 2018a. “Adaptive control-based Barrier Lyapunov Functions for a class of stochastic nonlinear systems with full state constraints.” Automatica 87 (Jan): 83–93. https://doi.org/10.1016/j.automatica.2017.07.028.
Liu, Z., J. Liu, and L. Wang. 2018b. “Disturbance observer based attitude control for flexible spacecraft with input magnitude and rate constraints.” Aerosp. Sci. Technol. 72 (Jan): 486–492. https://doi.org/10.1016/j.ast.2017.11.036.
Shao, X., Q. Hu, and Y. Shi. 2020. “Adaptive pose control for spacecraft proximity operations with prescribed performance under spatial motion constraints.” IEEE Trans. Control Syst. Technol. 29 (4): 1405–1419. https://doi.org/10.1109/TCST.2020.3005966.
Shen, Q., D. Wang, S. Zhu, and K. Poh. 2015. “Finite-time fault-tolerant attitude stabilization for spacecraft with actuator saturation.” IEEE Trans. Aerosp. Electron. Syst. 51 (3): 2390–2405. https://doi.org/10.1109/TAES.2015.130725.
Silva, T. M., J. B. Bouvier, K. Xu, M. Hirabayashi, and K. Ho. 2020. “Spacecraft trajectory tracking and parameter estimation around a splitting contact binary asteroid.” Acta Astronaut. 171 (Jun): 280–289. https://doi.org/10.1016/j.actaastro.2020.02.052.
Song, Y. D., and S. Zhou. 2018. “Tracking control of uncertain nonlinear systems with deferred asymmetric time-varying full state constraints.” Automatica 98 (Dec): 314–322. https://doi.org/10.1016/j.automatica.2018.09.032.
Sun, K., S. Mou, J. Qiu, T. Wang, and H. Gao. 2019. “Adaptive fuzzy control for nontriangular structural stochastic switched nonlinear systems with full state constraints.” IEEE Trans. Fuzzy Syst. 27 (8): 1587–1601. https://doi.org/10.1109/TFUZZ.2018.2883374.
Sun, L., W. Huo, and Z. 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, Z., B. Liang, Y. Sun, and T. Zhang. 2020. “Adaptive fault-tolerant prescribed-time control for teleoperation systems with position error constraints.” IEEE Trans. Ind. Inf. 16 (7): 4889–4899. https://doi.org/10.1109/TII.2019.2951329.
Wu, W., Y. Li, and S. Tong. 2021a. “Fuzzy adaptive tracking control for state constraint switched stochastic nonlinear systems with unstable inverse dynamics.” IEEE Trans. Syst. Man Cybern.: Syst. 51 (9): 5522–5534. https://doi.org/10.1109/TSMC.2019.2956263.
Wu, Y. Y., Y. Zhang, and A. G. Wu. 2021b. “Preassigned finite-time attitude control for spacecraft based on time-varying barrier Lyapunov functions.” Aerosp. Sci. Technol. 108 (Jan): 106331. https://doi.org/10.1016/j.ast.2020.106331.
Xi, C., and J. Dong. 2019. “Adaptive neural network-based control of uncertain nonlinear systems with time-varying full-state constraints and input constraint.” Neurocomputing 357 (Sep): 108–115. https://doi.org/10.1016/j.neucom.2019.04.060.
Xia, J., J. Zhang, W. Sun, B. Zhang, and Z. Wang. 2019. “Finite-time adaptive fuzzy control for nonlinear systems with full state constraints.” IEEE Trans. Syst. Man Cybern. Syst. 49 (7): 1541–1548. https://doi.org/10.1109/TSMC.2018.2854770.
Xia, K., and Y. Zou. 2021. “Neuroadaptive saturated control for relative motion based noncooperative spacecraft proximity with prescribed performance.” Acta Astronaut. 180 (Mar): 361–369. https://doi.org/10.1016/j.actaastro.2020.12.052.
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.
Zhang, J., D. Ye, J. D. Biggs, and Z. Sun. 2019. “Finite-time relative orbit-attitude tracking control for multi-spacecraft with collision avoidance and changing network topologies.” Adv. Space Res. 63 (3): 1161–1175. https://doi.org/10.1016/j.asr.2018.10.037.
Zhiyi, H., S. Haidong, J. Lin, C. Junsheng, and Y. Yu. 2020. “Transfer fault diagnosis of bearing installed in different machines using enhanced deep auto-encoder.” Measurement 152: 107393. https://doi.org/10.1016/j.measurement.2019.107393.
Zhou, B., B. Huang, L. Mao, C. Zhu, and Y. Su. 2022. “Distributed observer based event-triggered affine formation maneuver control for underactuated surface vessels with positive minimum inter-event times.” Int. J. Robust Nonlinear Control 32 (14): 7712–7732. https://doi.org/10.1002/rnc.6241.
Zhu, C., B. Huang, Y. Xu, Y. Lu, and Y. Su. 2022. “Completely distributed affine formation maneuvering of networked marine surface vehicles with cooperation localization.” IEEE Trans. Veh. Technol. 1–7. https://doi.org/10.1109/TVT.2022.3197267.
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Published In
Journal of Aerospace Engineering
Volume 36 • Issue 1 • January 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Oct 12, 2021
Accepted: Jun 10, 2022
Published online: Sep 27, 2022
Published in print: Jan 1, 2023
Discussion open until: Feb 27, 2023
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