Abstract
A multi-objective parametric design method that based on the robust observer is proposed for the attitude control of satellites with super flexible netted antennas. First, a parametric observer-based controller is obtained based on the eigen-structure assignment theory. The closed-loop poles are assigned to desired positions or regions, and full degrees of freedom of the design, which are characterized by a set of parameters, are preserved under the proposed control law. Second, the obtained parameters are comprehensively optimized to make the closed-loop system have lower eigenvalue sensitivity, a smaller control gain, and stronger tolerance to high-order unmodeled dynamics and external disturbances. Finally, comparative simulations are carried out based on practical engineering parameters of a satellite in order to verify the effect of the proposed method, and also to show their superiority over the traditional proportional-integral-derivative (PID) controller with filters and the traditional dynamic compensators.
Similar content being viewed by others
References
Kida T, Yamaguchi I, Chida Y, et al. On-orbit robust control experiment of flexible spacecraft ETS-VI. J Guid Control Dyn, 1997, 20: 865–872
Xiao B, Hu Q, Zhang Y, et al. Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation. IEEE Trans Control Syst Technol, 2012, 20: 1605–1612
Hu Q, Ma G, et al. Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver. Aerospace Sci Tech, 2005, 9: 307–317
Hu Q, Ma G, Xie L, et al. Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity. Automatica, 2008, 44: 552–559
Jiang Y, Hu Q, Ma G, et al. Adaptive backstepping fault-tolerant control for flexible spacecraft with unknown bounded disturbances and actuator failures. ISA Trans, 2010, 49: 57–69
Wu A G, Dong R Q, Zhang Y, et al. Adaptive sliding mode control laws for attitude stabilization of flexible spacecraft with inertia uncertainty. IEEE Access, 2019, 7: 7159–7175
Xu S, Cui N, Fan Y, et al. Flexible satellite attitude maneuver via adaptive sliding mode control and active vibration suppression. AIAA J, 2018, 56: 4205–4212
Huo J, Meng T, Song R, et al. Adaptive prediction backstepping attitude control for liquid-filled micro-satellite with flexible appendages. Acta Astronaut, 2018, 152: 557–566
Wu S, Chu W, Ma X, et al. Multi-objective integrated robust H∞ control for attitude tracking of a flexible spacecraft. Acta Astronaut, 2018, 151: 80–87
Liu C, Sun Z, Shi K, et al. Robust dynamic output feedback control for attitude stabilization of spacecraft with nonlinear perturbations. Aerospace Sci Tech, 2017, 64: 102–121
Bai H, Huang C, Zeng J, et al. Robust nonlinear H∞ output-feedback control for flexible spacecraft attitude manoeuvring. Trans Inst Meas Control, 2019, 41: 2026–2038
Liu C, Shi K, Sun Z, et al. Robust H∞ controller design for attitude stabilization of flexible spacecraft with input constraints. Adv Space Res, 2019, 63: 1498–1522
Liu L, Cao D, Wei J, et al. Rigid-flexible coupling dynamic modeling and vibration control for a three-axis stabilized spacecraft. J Vib Acoust, 2017, 139: 041006
Yan R, Wu Z, et al. Super-twisting disturbance observer-based finite- time attitude stabilization of flexible spacecraft subject to complex disturbances. J Vib Control, 2019, 25: 1008–1018
Yadegari H, Khouane B, Yukai Z, et al. Disturbance observer based anti-disturbance fault tolerant control for flexible satellites. Adv Aircraft Spacecr Sci, 2018, 5: 459–475
Zhong C, Wu L, Guo J, et al. Robust adaptive attitude manoeuvre control with finite-time convergence for a flexible spacecraft. Trans Institute Meas Control, 2018, 40: 425–435
Hu Q, et al. Robust adaptive sliding mode attitude control and vibration damping of flexible spacecraft subject to unknown disturbance and uncertainty. Trans Inst Meas Control, 2012, 34: 436–447
Smaeilzadeh S M, Golestani M, et al. A finite-time adaptive robust control for a spacecraft attitude control considering actuator fault and saturation with reduced steady-state error. Trans Inst Meas Control, 2019, 41: 1002–1009
Li L, Liu J, et al. Neural-network-based adaptive fault-tolerant vibration control of single-link flexible manipulator. Trans Inst Meas Control, 2020, 42: 430–438
Fu Y, Liu Y, Huang D, et al. Adaptive boundary control and vibration suppression of a flexible satellite system with input saturation. Trans Inst Meas Control, 2019, 41: 2666–2677
Zhong C, Guo Y, Yu Z, et al. Finite-time attitude control for flexible spacecraft with unknown bounded disturbance. Trans Inst Meas Control, 2016, 38: 240–249
Wu Y, Lin B, Zeng H, et al. Parametric multi-objective design for spacecrafts with super flexible netted antennas (in Chinese). Control Theory Appl, 2019, 36: 766–773
Duan G-R, et al. Solutions of the equation AV + BW = VF and their application to eigenstructure assignment in linear systems. IEEE Trans Automat Contr, 1993, 38: 276–280
Duan G-R, et al. Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems. Automatica, 1992, 28: 639–642
Duan G-R, Irwin G W, Liu G P, et al. Disturbance attenuation in linear systems via dynamical compensators: a parametric eigenstructure assignment approach. IEE Proc — Control Theor Appl, 2000, 147: 129–136
Duan G-R, et al. Robust eigenstructure assignment via dynamical compensators. Automatica, 1993, 29: 469–474
Duan G-R, Liu G P, Thompson S. Disturbance decoupling in descriptor systems via output feedback-a parametric eigenstructure assignment approach. In: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, 2000. 3660–3665
Wu W J, Duan G-R, et al. Gain scheduled control of linear systems with unsymmetrical saturation actuators. Int J Syst Sci, 2016, 47: 3711–3719
Wang Q, Zhou B, Duan G-R, et al. Robust gain scheduled control of spacecraft rendezvous system subject to input saturation. Aerospace Sci Tech, 2015, 42: 442–450
Duan G-R, et al. Simple algorithm for robust pole assignment in linear output feedback. IEE Proc D Control Theor Appl, 1992, 139: 465–469
Duan G-R, Thompson S, Liu G P. Separation principle for robust pole assignment-an advantage of full-order state observers. In: Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, 1999. 76–78
Selected publications
Duan G-R. Analysis and Design of Descriptor Linear Systems. New York: Springer, 2010
Duan G-R. Generalized Sylvester Equations — Unified Parametric Solutions. Florida: CRC Press, 2015
Duan G-R. Simple algorithm for robust pole assignment in linear output-feedback. IEE Proc D Control Theor Appl, 1992, 139: 465–469
Duan G-R. Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems. Automatica, 1992, 28: 639–642
Duan G-R. Solutions of the equation AV + BW = VF and their application to eigenstructure assignment in linear systems. IEEE Trans Automat Contr, 1993, 38: 276–280
Duan G-R. Robust eigenstructure assignment via dynamic compensators. Automatica, 1993, 29: 469–474
Duan G-R, Liu G P. Complete parametric approach for eigenstructure assignment in a class of second-order linear systems. Automatica, 2002, 38: 725–729
Duan G-R. Parametric eigenstructure assignment in second-order descriptor linear systems. IEEE Trans Automat Contr, 2004, 49: 1789–1794
Duan G-R. Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control. Int J Control, 1998, 69: 663–694
Duan G-R. Circulation algorithm for partial eigenstructure assignment via state feedback. Europ J Control, 2019, 50: 107–116
Zhou B, Duan G-R, Lin Z L. A parametric Lyapunov equation approach to the design of low gain feedback. IEEE Trans Automat Contr, 2008, 53: 1548–1554
Duan G-R, Yu H H, Tan F. Parametric control systems design with applications in missile control. Sci China Ser F-Inf Sci, 2009, 52: 2190–2200
Acknowledgements
This work was supported by Major Program of National Natural Science Foundation of China (Grant Nos. 61690210, 61690212), Self-Planned Task of State Key Laboratory of Robotics and System (HIT) (Grant No. SKLRS201716A), and National Natural Science Foundation of China (Grant No. 61333003). The authors are very grateful to the anonymous reviewers for their meaningful suggestions and comments.
Author information
Authors and Affiliations
Corresponding author
Additional information
Profile of Guang-Ren DUAN
Prof. Guang-Ren DUAN received his B.S. degree in applied mathemetics, and both his M.S. and Ph.D. degrees in control systems sciences. He is a member of the Chinese Academy of Sciences, a fellow of the IEEE, IET, and CAA (Chinese Association of Automation), and the Founder and Director of the Center for Control Theory and Guidance Technology at HIT (Harbin Institute of Technology), China.
After receiving his Ph.D. degree from HIT in 1989, Prof. Duan took a post-doctoral position at HIT, where he became a professor of control systems theory when he finished the program in 1991. He visited the University of Hull, UK, and the University of Sheffield, UK, from December 1996 to October 1998, and worked as a member of academic staff at the Queen’s University of Belfast, UK, from October 1998 to October 2002. He won the 4th Chinese National Youth Award of Science and Technology in 1994, the Fund for Cross-Century Talents of the MEPRC (Ministry of Education of China) in 1997, and the National Science Fund for Distinguished Young Scholars of NSFC (Natural Science Foundation of China) in 1999. One year later, he was selected by the Cheung Kong Scholars Program of the MEPRC. He was elected leader of a Cheung Kong Scholars Innovative Team sponsored by the MEPRC, in 2005, and leader of an Innovative Research Group sponsored by NSFC, in 2009.
He served at several international conferences and symposiums, as General Chair, Associate General Chair, Chair and Co-Chair of IPCs, and member of IPCs, etc., and also served as Associate Editor of a few academic journals. He has been invited as a keynote speaker at more than 20 international conferences, and has been a member of the Science and Technology Committee of the MEPRC, the Information Branch; Vice President of the Technical Committee on Control Theory, CAA; and Associate Director of the Foundation Committee for “Zhao-Zhi GUAN” Award.
His main research interests include parametric control systems design, robust control, quasi-linear control systems, descriptor systems, spacecraft control, and magnetic bearing control. He is the author and co-author of 5 books and more than 270 SCI journal publications. Particularly, he has published over 40 papers in Automatica and IEEE Transactions, and has published two books with CRC Press (Taylor & Francis), one with Springer, and one in Chinese with the Science Press. The last one has won two national book awards, namely, the 8th National Best Book Award of Science and Technology, and the 11th National Book Award of China. Furthermore, as a principal investigator, he has won two Chinese National Awards of Natural Sciences, one on “Parametric approaches for robust control systems design with applications”, awarded in 2008, the other on “Parametric approaches for constrained control systems design with applications”, awarded in 2015. Because of his achievements, he has been given the title of National Outstanding Scientific and Technical Worker.
He has supervised 75 master students and 68 Ph.D. students. Among these students, there is one who has been elected member of the Chinese Academy of Engineering, and one who has been selected by both the NSFC program of the National Science Fund for Distinguished Young Scholars and the Cheung Kong Scholars Program of the MEPRC. Besides these, there are also two winners of the Chinese National Best Ph.D. Thesis Award, and two winners of the Fund for New Century Talents by the MEPRC.
Rights and permissions
About this article
Cite this article
Duan, GR., Zhao, TY. Observer-based multi-objective parametric design for spacecraft with super flexible netted antennas. Sci. China Inf. Sci. 63, 172002 (2020). https://doi.org/10.1007/s11432-020-2916-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-020-2916-8