Integral Sliding Mode Fault-Tolerant Control and Active Vibration Suppression of a Flexible Spacecraft in the Presence of External Disturbances

Document Type : Dynamics, Vibrations, and Control

Authors

1 Corresponding author: Assistant Professor, Department of Astronautic, Aerospace Research Institute (Ministry of Science, Research and Technology), Tehran, Iran

2 M.Sc. Student, Department of Astronautic, Aerospace Research Institute (Ministry of Science, Research and Technology), Tehran, Iran

3 Associate Professor, Department of Astronautic, Aerospace Research Institute (Ministry of Science, Research and Technology), Tehran, Iran

Abstract

An active vibration control algorithm and robust integral sliding mode control (SMC) are discussed to stabilize the attitude of the flexible spacecraft under external disturbances and actuator faults. As a coupled rigid-flexible dynamical system, the flexible spacecraft is modeled as a rigid hub with two solar panels equipped with piezoelectric (PZT) sensors and actuators. A passive fault-tolerant integral sliding mode control algorithm using a nominal proportional-derivative control algorithm and an improved fault-tolerant algorithm with time-varying additive fault is developed to increase system’s performance, prevent the system's flexible modes excitations in the phase of reaching the sliding surface. Therefore, when the system enters the sliding mode, the closed-loop dynamic behavior, including actuator faults, will be identical to that of the system without faults. It is possible to reduce the residual vibrations caused by the attitude dynamics and actuator faults by simultaneously activating the strain rate feedback (SRF) vibration control algorithm during the maneuver. The performance of the proposed integral fault-tolerant control in terms of the flexible modes excitation, the control effort, and achieving the desired attitude parameters in a comparative study demonstrated its advantage and superiority over the conventional integral sliding mode algorithms.

Highlights

  • Fully coupled dynamic modeling of a rigid-flexible system
  • Robust integral sliding mode fault-tolerant and active vibration control
  • Development of a fault tolerant control algorithm that incorporates an additional time-varying error function

Keywords

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References

[1] Zhang Y and Jiang J. Bibliographical review on reconfigurable fault-tolerant control systems. Annual reviews in control. 2008;32(2): 229-252.##
[2] Lee D. Fault-tolerant finite-time controller for attitude tracking of rigid spacecraft using intermediate quaternion. IEEE Transactions on Aerospace and Electronic Systems. 2020;57(1): 540-553.##
[3] Alwi H and Edwards C. Fault tolerant control using sliding modes with on-line control allocation. Automatica. 2008;44(7): 1859-1866.##
[4] Yin S, Xiao B, Ding SX and Zhou D. A review on recent development of spacecraft attitude fault tolerant control system. IEEE Transactions on Industrial Electronics. 2016;63(5): 3311-3320.##
[5] Ducard GJ, Fault-tolerant flight control and guidance systems: Practical methods for small unmanned aerial vehicles. 2009: Springer Science & Business Media.##
[6] Ijaz S, Ijaz H, Hamayun MT and Javaid U. Active and passive fault tolerant control allocation strategy for nonlinear systems. Journal of Vibration and Control. 2022: 10775463221097763.##
[7] Jiang J and Yu X. Fault-tolerant control systems: A comparative study between active and passive approaches. Annual Reviews in control. 2012;36(1): 60-72.##
[8] Zhang A, Hu Q and Zhang Y. Observer-based attitude control for satellite under actuator fault. Journal of Guidance, Control, and Dynamics. 2015;38(4): 806-811.##
[9] Liu C, Vukovich G, Sun Z and Shi K. Observer-based fault-tolerant attitude control for spacecraft with input delay. Journal of Guidance, Control, and Dynamics. 2018;41(9): 2041-2053.##
[10] Firuzi S and Gong S. Attitude control of a flexible solar sail in low Earth orbit. Journal of Guidance, Control, and Dynamics. 2018;41(8): 1715-1730.##
[11] Sendi C and Ayoubi MA. Robust fuzzy tracking control of flexible spacecraft via a T–S fuzzy model. IEEE Transactions on Aerospace and Electronic Systems. 2017;54(1): 170-179.##
[12] Liu Z, Han Z, Zhao Z and He W. Modeling and adaptive control for a spatial flexible spacecraft with unknown actuator failures. Science China Information Sciences. 2021;64(5): 1-16.##
[13] Hu Q, Xiao B and Friswell M. Fault tolerant control with H∞ performance for attitude tracking of flexible spacecraft. IET control theory & applications. 2012;6(10): 1388-1399.##
[14] Hu H, Wang B, Cheng Z, Liu L, Wang Y, and Luo X. A novel active fault-tolerant control for spacecrafts with full state constraints and input saturation. Aerospace Science and Technology. 2021;108: 106368.##
[15] Benosman M and Lum K-Y. Passive actuators' fault-tolerant control for affine nonlinear systems. IEEE Transactions on Control Systems Technology. 2009;18(1): 152-163.##
[16] Chen X and Zhao L. Observer-based finite-time attitude containment control of multiple spacecraft systems. IEEE Transactions on Circuits and Systems II: Express Briefs. 2020;68(4): 1273-1277.##
[17] Ma Y, Ren H, Tao G and Jiang B. Adaptive Compensation for Actuation Sign Faults of Flexible Spacecraft. IEEE Transactions on Aerospace and Electronic Systems. 2020;57(2): 1288-1300.##
[18] Dong R-Q, Wu A-G, Zhang Y and Duan G-R. Anti-unwinding sliding mode attitude control via two modified Rodrigues parameter sets for spacecraft. Automatica. 2021;129: 109642.##
[19] Azimi M, Shahbahrami V and Alikhani A. Vibration Suppression of a Rotating Flexible Structure using Super Twisting-Nonsingular Terminal Sliding Mode Control with Uncertainty. Aerosp. Mech. J. 2022;18(1): 95-107, (In persian).##
[20] Hu Q. Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits. Nonlinear Dynamics. 2009;55(4): 301-321.##
[21] Hu Q and Xiao B. Fault-tolerant sliding mode attitude control for flexible spacecraft under loss of actuator effectiveness. Nonlinear Dynamics. 2011;64(1): 13-23.##
[22] Hu Q, Xiao B, Li B and Zhang Y, Fault-Tolerant Attitude Control of Spacecraft. 2021: Elsevier.##
[23] Hu Q. Robust adaptive sliding-mode fault-tolerant control with L2-gain performance for flexible spacecraft using redundant reaction wheels. IET control theory & applications. 2010;4(6): 1055-1070.##
[24] Xiao B, Hu Q and Zhang Y. Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation. IEEE Transactions on Control Systems Technology. 2011;20(6): 1605-1612.##
[25] Utkin V, Guldner J and Shi J, Sliding mode control in electro-mechanical systems. 2017: CRC press.##
[26] Li H and Lin X. Robust finite-time fault-tolerant control for dynamic positioning of ships via nonsingular fast integral terminal sliding mode control. Applied Ocean Research. 2022;122: 103126.##
[27] Ullah S, Mehmood A, Khan Q, Rehman S and Iqbal J. Robust integral sliding mode control design for stability enhancement of under-actuated quadcopter. Int. J. Control Autom. 2020;18(7): 1671-1678.##
[28] Jiang T, Lin D and Song T. Novel integral sliding mode control for small-scale unmanned helicopters. J Frankl Inst. 2019;356(5): 2668-2689.##
[29] Li B, Hu Q, Yang Y and Postolache OA. Finite‐time disturbance observer based integral sliding mode control for attitude stabilisation under actuator failure. IET control theory & applications. 2019;13(1): 50-58.##
[30] Sofyalı A and Jafarov EM. Robust stabilization of spacecraft attitude motion under magnetic control through time‐varying integral sliding mode. International Journal of Robust and Nonlinear Control. 2019;29(11): 3446-3468.##
[31] Shahravi M and Azimi M. A Hybrid Scheme of Synthesized Sliding Mode/Strain Rate Feedback Control Design for Flexible Spacecraft Attitude Maneuver Using Time Scale Decomposition. International Journal of Structural Stability and Dynamics. 2016;16(02): 1450101.##
[32] Jiang Y, Hu Q and Ma G. Adaptive backstepping fault-tolerant control for flexible spacecraft with unknown bounded disturbances and actuator failures. ISA T. 2010;49(1): 57-69.##
[33] Cao X, Yue C and Liu M. Fault-tolerant sliding mode attitude tracking control for flexible spacecraft with disturbance and modeling uncertainty. Advances in Mechanical Engineering. 2017;9(3): 1687814017690341.##
[34] Tian J, Guo Q and Shi G. Laminated piezoelectric beam element for dynamic analysis of piezolaminated smart beams and GA-based LQR active vibration control. Composite Structures. 2020;252: 112480.##
[35] Xie C, Wu Y and Liu Z. Modeling and active vibration control of lattice grid beam with piezoelectric fiber composite using fractional order PDμ algorithm. Composite Structures. 2018;198: 126-134.##
[36] Zhang S, Schmidt R and Qin X. Active vibration control of piezoelectric bonded smart structures using PID algorithm. Chinese journal of aeronautics. 2015;28(1): 305-313.##
[37] Vasques C and Rodrigues JD. Active vibration control of smart piezoelectric beams: comparison of classical and optimal feedback control strategies. Computers & structures. 2006;84(22-23): 1402-1414.##
[38] Qiu Z-c and Wang T-x. Fuzzy neural network vibration control on a piezoelectric flexible hinged plate using stereo vision detection. Journal of Intelligent Material Systems and Structures. 2019: 1045389X18818766.##
[39] Richiedei D, Tamellin I and Trevisani A. Pole-zero assignment by the receptance method: Multi-input active vibration control. Mech. Systs. Signal Pr. 2022;172: 108976.##
[40] Feng H-N, Zhang B-L, Zhao Y-D, Ma H, Su H, and Li J. Vibration control of network-based offshore structures subject to earthquakes. Transactions of the Institute of Measurement and Control. 2022;44(4): 861-870.##
[41] Qiu Z-c, Wang T-x and Zhang X-m. Sliding mode predictive vibration control of a piezoelectric flexible plate. Journal of Intelligent Material Systems and Structures. 2021;32(1): 65-81.##
[42] Azimi M and Moradi S. Robust optimal solution for a smart rigid–flexible system control during multimode operational mission via actuators in combination. Multibody System Dynamics. 2021;52(3): 313-337.##
[43] Xu Y-T, Wu A-G, Zhu Q-H and Dong R-Q. Observer-Based Sliding Mode Control for Flexible Spacecraft With External Disturbance. IEEE Access. 2020;8: 32477-32484.##
[44] Hu Q, Shao X and Guo L. Adaptive fault-tolerant attitude tracking control of spacecraft with prescribed performance. IEEE/ASME Transactions on Mechatronics. 2017;23(1): 331-341.##
[45] Slotine J-JE and Li W, Applied nonlinear control. Vol. 199. 1991: Prentice hall Englewood Cliffs, NJ.##
[46] Feng Y, Yu X and Man Z. Non-singular terminal sliding mode control of rigid manipulators. Automatica. 2002;38(12): 2159-2167.##
[47] Wallsgrove RJ and Akella MR. Globally stabilizing saturated attitude control in the presence of bounded unknown disturbances. Journal of guidance, Control, and Dynamics. 2005;28(5): 957-963.##
Aerospace Mechanics
Volume 19, Issue 1 - Serial Number 71
Serial No. 71, Spring Quarterly
June 2023
Pages 137-151

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History

  • Receive Date: 28 September 2022
  • Revise Date: 16 October 2022
  • Accept Date: 28 November 2022
  • Publish Date: 22 May 2023

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