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High-precision controller using LMI method for three-axis flexible satellite attitude stabilisation

Published online by Cambridge University Press:  07 February 2023

B.J. Eddine Open the ORCID record for B.J. Eddine [Opens in a new window] ,
K. Boulanouar Open the ORCID record for K. Boulanouar [Opens in a new window]  and
B. Elhassen
B.J. Eddine*
Affiliation:
Centre de développement des satellites, Algerian Space Agency, Bir El Djir 31130 Oran, Algeria
K. Boulanouar
Affiliation:
Centre de développement des satellites, Algerian Space Agency, Bir El Djir 31130 Oran, Algeria
B. Elhassen
Affiliation:
Centre de développement des satellites, Algerian Space Agency, Bir El Djir 31130 Oran, Algeria
*
*Corresponding author. Email: b.khouane@gmail.com
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Abstract

This paper considers the problem of a three-axis flexible satellite attitude stabilisation subject to the vibration of flexible appendages and external environmental disturbances, which affect the rigid body motion. To solve this problem, a disturbance observer is proposed to estimate and thereby reject the flexible appendage vibration. Based on the H∞ and Linear Matrix Inequality (LMI) approach, a controller for spacecraft with flexible appendages is proposed to ensure robustness as well as attitude stability with high precision. Stability analysis of the overall closed-loop system is provided via the Lyapunov method. The simulation results of three-axis flexible spacecraft demonstrate the robustness and effectiveness of the proposed method.

Keywords

Flexible spacecraftDisturbance observerAttitude controlLinear matrix inequalitiesH∞ control

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 127 , Issue 1314 , August 2023 , pp. 1308 - 1319
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Orazulume, M.C. and Jiya, J.D. Design of optimal proportional integral derivative attitude controller for an uncoupled flexible satellite using particle swarm optimization, Int J Mech Mechatron Eng, 2016, 10, pp 341–346.Google Scholar
Pukdeboon, C. Robust optimal PID controller design for attitude stabilization of flexible spacecraft. Kybernetika, 2018, 54, pp 1049–1070.Google Scholar
Yucelen, T., Haddad, W. and Johnson, E.N. Application of a robust adaptive control architecture to a spacecraft with flexible dynamics. In AIAA Guidance, Navigation, and Control (GNC) Conference, p. 4987, 2013.CrossRefGoogle Scholar
Zeng, Y., Araujo, A.D. and Singh, S.N. Output feedback variable structure adaptive control of a flexible spacecraft, Acta Astronaut, 1999, 44, pp 11–22.CrossRefGoogle Scholar
Hu, Q. and Ma, G. Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver, Aerosp Sci Technol, 2005, 9, pp 307–317.CrossRefGoogle Scholar
Ye, D. and Sun, Z. Variable structure tracking control for flexible spacecraft. Aircr Eng Aerosp Technol, 2016, 88, pp 508–514.10.1108/AEAT-04-2014-0038CrossRefGoogle Scholar
Xu, S., Cui, N., Fan, Y. and Guan, Y. Flexible satellite attitude maneuver via adaptive sliding mode control and active vibration suppression. AIAA J, 56, (10), 2018, pp 4205–4212.CrossRefGoogle Scholar
Pukdeboon, C. and Jitpattanakul, A. Disturbance observer-based second order sliding mode attitude tracking control for flexible spacecraft. Kybernetika, 2017, 53, pp 653–678.Google Scholar
Mancini, M. and Capello, E. Adaptive sliding mode-based control system for flexible spacecraft. In American Control Conference (ACC). IEEE, pp 2968–2973, 2021.Google Scholar
Charbonnel, C. H∞ and LMI attitude control design: towards performances and robustness enhancement, Acta Astronaut, 2004, 54, pp 307–314.10.1016/S0094-5765(03)00049-3CrossRefGoogle Scholar
Charbonnel, C. H∞ controller design and m-analysis: Powerful tools for flexible satellite attitude control. In AIAA Guidance, Navigation, and Control Conference, p. 7907, 2010.CrossRefGoogle Scholar
Zhang, Y., et al. Structured H∞ control for spacecraft with flexible appendages. Entropy, 2021, 23, (8), p 930.CrossRefGoogle ScholarPubMed
Zhou, Y., Shen, X., Zeng, J. and Sun, H. Robust attitude control of flexible spacecraft with quality characteristic parameter uncertainty. IEEE ICCA, 2010, pp 486–491.Google Scholar
Long, Z. Robust composite controller design for flexible spacecraft attitude maneuver. In Chinese Control and Decision Conference (CCDC). IEEE, pp 3726–3731, 2016.CrossRefGoogle Scholar
Azadi, M., Fazelzadeh, S.A., Eghtesad, M. and Azadi, E. Vibration suppression and adaptive-robust control of a smart flexible satellite with three axes maneuvering, Acta Astronaut, 2011, 69, (5–6), pp 307–322.10.1016/j.actaastro.2011.04.001CrossRefGoogle Scholar
Ali, I., Radice, G. and Kim, J. Backstepping control design with actuator torque bound for spacecraft attitude maneuver, J Guid Control Dyn, 2010, 33, pp 254–259.CrossRefGoogle Scholar
Benmansour, J.E., et al. Unknown input observer for satellite attitude control systems. Electrotehn. Electron. Automat., 2018, 66, (2), pp 121–126.Google Scholar
Li, Huayi, et al. Observer-based robust actuator fault isolation and identification for microsatellite attitude control systems, Aircr Eng Aerosp Technol, 2021, 93, (7), pp 1145–1155.CrossRefGoogle Scholar
Benmansour, J.E., Khouane, B. and Roubache, R. Vibration suppression for flexible satellite during attitude stabilization. In IEEE International Conference on Electrical Sciences and Technologies (CISTEM), Maghreb Algiers, pp 1–4, 2018.CrossRefGoogle Scholar
Eddine, B.J., Yijiang, D. and Zhong, W. Anti-disturbance PD controller design for flexible spacecraft attitude stabilization, In IEEE 34th Chinese Control Conference (CCC), Hangzhou, China, pp 5687–5690, 2015.Google Scholar
Benmansour, J.E., Wu, Z. and Khouane, B. Disturbance observer based on controller for roll/yaw attitude stabilization of flexible spacecraft, Electrotehn Electron Automat, 2016, 64.Google Scholar
Liu, H., Guo, L. and Zhang, Y. An anti-disturbance PD control scheme for attitude control and stabilization of flexible spacecrafts, Nonlinear Dyn, 2015, 67, pp 2081–2088.CrossRefGoogle Scholar
Souza, A.G. Comparison of the satellite attitude control system design using the H∞ method and H∞/MLI with pole allocation considering the parametric uncertainty, WSEAS Trans Circuits Syst, 2021, 20, pp 88–95.CrossRefGoogle Scholar
Benmansour, J.E., Mohammed, M.S. and Bellar, A. Extended state observer-based control of attitude stabilization for flexible spacecraft with solar pressure and slosh disturbances, In IEEE 5th International Conference on Electrical Engineering (ICEE-B), Boumerdes Algeria, pp 1–6, 2017.10.1109/ICEE-B.2017.8192025CrossRefGoogle Scholar
Eddine, B.J. and Boulanouar, K. Active control design approach for roll/yaw attitude satellite stabilization with flexible vibration, Autom Control Comput Sci, 2020, 54, pp 70–79.CrossRefGoogle Scholar
Sidi, M.J. Spacecraft Dynamics and Control, A Practical Engineering Approach, Cambridge University Press, 1997.CrossRefGoogle Scholar
Wie, B. Space Vehicle Dynamics and Control, American Institute of Aeronautics and Astronautics, 2008.CrossRefGoogle Scholar
Wang, J. and Li, D. Experiments study on attitude coupling control method for flexible spacecraft, Acta Astronaut, 2018, 147, pp 393–402.CrossRefGoogle Scholar
Guo, L. and Cao, S. Anti-Disturbance Control for Systems with Multiple Disturbances. Crc Press, 2013.Google Scholar
Wei, X. and Guo, L. Composite disturbance-observer-based control and H∞ control for complex continuous models. Int J Robust Nonlinear Cont IFAC-Affil J, 2010, 20, (1), pp 106–118.CrossRefGoogle Scholar
Boulouma, S., Labiod, S. and Boubertakh, H. Direct adaptive control of a flexible spacecraft with disturbances and uncertain actuator failures, Mech Syst Sig Process, 2018, 110, pp 73–89.CrossRefGoogle Scholar