Vibration suppression of a large flexible spacecraft for on-orbit operation


Flexible appendages, such as solar panels, communication antennas and other large structures, are mounted on the base of a space robot and target satellite. The vibration of the flexible structure is excited by operations of a space manipulator. It is very challenging to control the vibration of large flexible appendages for on-orbit operation and, especially when the manipulator operates a non-cooperative target with unknown structural parameters and vibration information. In this study, a hybrid control method is proposed based on wave-based control and PD control methods to control the motion of a manipulator while suppressing the vibration of appendages. First, the rigid-flexible coupled dynamic model of a compounded system is established. This is followed by designing a hybrid control strategy combining wave-based control and PD control for rest-to-rest maneuvers based on the characteristics of the compounded system. Finally, the simulation of a 3D compounded system is provided to verify the effectiveness of the presented approach. The simulation results indicate that the space robot can successfully berth the target while suppressing the vibrations of the structure.

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  1. 1

    Shan M H, Guo J, Gill E. Review and comparison of active space debris capturing and removal methods. Prog Aerosp Sci, 2016, 80: 18–32

    Article  Google Scholar 

  2. 2

    Flores-Abad A, Ma O, Pham K, et al. A review of space robotics technologies for on-orbit servicing. Prog Aerosp Sci, 2014, 68: 1–12

    Article  Google Scholar 

  3. 3

    Sellmaier F, Boge T, Spurmann J, et al. On-orbit servicing missions: challenges and solutions for spacecraft operations. In: Proceedings of AIAA SpaceOps Conference, Huntsville, 2010. 25–30

    Google Scholar 

  4. 4

    Stoll E, Letschnik J, Walter U, et al. A review of space robotics technologies for on-orbit servicing. IEEE Robot Autom Mag, 2009, 16: 29–33

    Article  Google Scholar 

  5. 5

    Nagashio T, Kida T, Ohtani T, et al. Design and implementation of robust symmetric attitude controller for ETS-VIII spacecraft. Control Eng Pract, 2010, 18: 1440–1451

    Article  Google Scholar 

  6. 6

    Sylla M, Asseke B. Dynamics of a rotating flexible and symmetric spacecraft using impedance matrix in terms of the flexible appendages cantilever modes. Multibody Syst Dyn, 2008, 19: 345–364

    MathSciNet  Article  MATH  Google Scholar 

  7. 7

    Gasbarri P, Pisculli A. Dynamic/control interactions between flexible orbiting space-robot during grasping, docking and post-docking manoeuvres. Acta Astronaut, 2015, 110: 225–238

    Article  Google Scholar 

  8. 8

    Yu Z W, Liu X F, Cai G P. Dynamics modeling and control of a 6-DOF space robot with flexible panels for capturing a free floating target. Acta Astronaut, 2016, 128: 560–572

    Article  Google Scholar 

  9. 9

    Zarafshan P, Moosavian S A A, Papadopoulos E G. Adaptive hybrid suppression control of space free-flying robots with flexible appendages. Robotica, 2016, 34: 1464–1485

    Article  Google Scholar 

  10. 10

    Hirano D, Fujii Y, Abiko S, et al. Vibration suppression control of a space robot with flexible appendage based on simple dynamic model. In: Proceedings of the IEEE International Conference on Intelligent Robots and Systems, Tokyo, 2013. 789–794

    Google Scholar 

  11. 11

    Hirano D, Fujii Y, Abiko S, et al. Simultaneous control for end-point motion and vibration suppression of a space robot based on simple dynamic model. In: Proceedings of the IEEE International Conference on Robotics and Automation, Hong Kong, 2014. 6631–6637

    Google Scholar 

  12. 12

    Kojima H, Ieda S, Kasai S. Frequency-tuning input-shaped manifold-based switching control for underactuated space robot equipped with flexible appendages. Acta Astronaut, 2014, 101: 42–54

    Article  Google Scholar 

  13. 13

    Kasai S, Kojima H. Input-shaped link motion control of planar space robot equipped with flexible appendage. Trans Jpn Soc Aeronaut Space Sci, 2012, 55: 205–213

    Article  Google Scholar 

  14. 14

    Azadi M, Eghtesad M, Fazelzadeh S A, et al. Dynamics and control of a smart flexible satellite moving in an orbit. Multibody Syst Dyn, 2015, 35: 1–23

    MathSciNet  Article  MATH  Google Scholar 

  15. 15

    Azadi M, Fazelzadeh S A, Eghtesad M, et al. Vibration suppression and adaptive-robust control of a smart flexible satellite with three axes maneuvering. Acta Astronaut, 2011, 69: 307–322

    Article  Google Scholar 

  16. 16

    Xu W F, Meng D S, Chen Y Q, et al. Dynamics modeling and analysis of a flexible-base space robot for capturing large flexible spacecraft. Multibody Syst Dyn, 2014, 32: 357–401

    MathSciNet  Article  MATH  Google Scholar 

  17. 17

    O’Connor W J, Lang D. Position control of flexible robot arms using mechanical waves. J Dyn Syst Meas Control, 1998, 120: 334–339

    Article  Google Scholar 

  18. 18

    O’Connor W J. Wave-based analysis and control of lump-modeled flexible robots. IEEE Trans Robot, 2007, 23: 342–352

    Article  Google Scholar 

  19. 19

    Cleary S, O’Connor W J. Control of space debris using an elastic tether and wave-based control. J Guid Control Dynam, 2016, 39: 1392–1406

    Article  Google Scholar 

  20. 20

    Marek O. Servo control using wave-based method. In: Advances in Mechanisms Design. Berlin: Springer, 2012. 531–536

    Google Scholar 

  21. 21

    Malzahn J, Bertram T. On the equivalence of direct strain feedback and lumped parameter wave echo control for oscillation damping of elastic-link arms. IEEE Robot Autom Lett, 2016, 1: 447–454

    Article  Google Scholar 

  22. 22

    Saigo M, Tanaka N. Torsional vibration suppression by wave absorption controller. J Sound Vib, 2006, 295: 317–330

    Article  Google Scholar 

  23. 23

    Spong M W. Modeling and control of elastic joint robots. J Dyn Syst Meas Cont, 1987, 109: 310–318

    Article  MATH  Google Scholar 

  24. 24

    Bonollo P. Wave-based control of multi-DoF flexible models for aerospace launchers. Dissertation for Master Degree. Veneto Padua: Universit degli Studi di Padova, 2016

    Google Scholar 

  25. 25

    O’Connor W J, Habibi H. Wave-based control of under-actuated flexible structures with strong external disturbing forces. Int J Control, 2015, 88: 1818–1829

    Article  MATH  Google Scholar 

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This work was supported by National Natural Science Foundation of China (Grant No. 61573116), Natural Science Foundation of Guangdong Province (Grant Nos. 2014A030310318, 2015A030313881) and Basic Research Program of Shenzhen (Grant Nos. JCYJ20140417172417095, JCYJ20160427183553203).

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Correspondence to Wenfu Xu or Bin Liang.

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Meng, D., Liu, H., Li, Y. et al. Vibration suppression of a large flexible spacecraft for on-orbit operation. Sci. China Inf. Sci. 60, 050203 (2017).

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  • space robot
  • large flexible spacecraft
  • vibration suppression
  • wave-based control
  • on-orbit operation