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Dynamics and adaptive control of a dual-arm space robot with closed-loop constraints and uncertain inertial parameters

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Abstract

A dynamics-based adaptive control approach is proposed for a planar dual-arm space robot in the presence of closed-loop constraints and uncertain inertial parameters of the payload. The controller is capable of controlling the position and attitude of both the satellite base and the payload grasped by the manipulator end effectors. The equations of motion in reduced-order form for the constrained system are derived by incorporating the constraint equations in terms of accelerations into Kane’s equations of the unconstrained system. Model analysis shows that the resulting equations perfectly meet the requirement of adaptive controller design. Consequently, by using an indirect approach, an adaptive control scheme is proposed to accomplish position/attitude trajectory tracking control with the uncertain parameters being estimated on-line. The actuator redundancy due to the closed-loop constraints is utilized to minimize a weighted norm of the joint torques. Global asymptotic stability is proven by using Lyapunov’s method, and simulation results are also presented to demonstrate the effectiveness of the proposed approach.

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References

  1. Murotsu, Y., Senda, K., Ozaki, M., et al.: Parameter identification of unknown object handled by free-flying space robot. Journal of Guidance, Control and Dynamics 17, 488–494 (1994)

    Article  MATH  Google Scholar 

  2. Slotine, J.J.E., Li, W.: On the adaptive control of robot manipulators. The International Journal of Robotics Research 6, 49–59 (1987)

    Article  Google Scholar 

  3. Slotine, J.J.E., Li, W.: Adaptive manipulator control: A case study. IEEE Transactions on Automatic Control 33, 995–1003 (1988)

    Article  MATH  Google Scholar 

  4. Xu, Y., Shum, H.Y., Lee, J.J., et al.: Adaptive control of space robot system with an attitude controlled base. In: Proceedings of the 1992 IEEE International Conference on Robotics and Automation, Nice, France, 2005–2011 (1992)

    Chapter  Google Scholar 

  5. Senda, K., Nagaoka, H., Murotsu, Y.: Adaptive control of free-flying space robot with position/attitude control system. In: Proc. of Guidance, Navigation, and Control Conference, New Orleans, LA, USA, 536–542 (1997)

    Google Scholar 

  6. Senda, K., Nagaoka, H.: Adaptive control of free-flying space robot with position/attitude control system. Journal of Guidance, Control and Dynamics 22, 488–490 (1999)

    Article  Google Scholar 

  7. Woerkom, V., Guelman, M., Ehrenwald, L.: Integrated adaptive control for space manipulators. Acta Astronautica 38, 161–174 (1996)

    Article  Google Scholar 

  8. Ehrenwald, L., Guelman, M.: Integrated adaptive control of space manipulators. Journal of Guidance, Control and Dynamics 21, 156–163 (1998)

    Article  MATH  Google Scholar 

  9. Ulrich, S., Sasiadek, J.Z.: Direct adaptive fuzzy control for a two-link space robot. In: Proc. of 16th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 290–295 (2011)

    Google Scholar 

  10. Ulrich, S., Sasiadek, J.Z.: Modified simple adaptive control for a two-link space robot. In: Proc. of American Control Conference, Marriott Waterfront, Baltimore, MD, USA, 3654–3659 (2010)

    Google Scholar 

  11. Guo, Y.S., Chen, L.: Adaptive neural network control for coordinated motion of a dual-arm space robot system with uncertain parameters. Applied Mathematics and Mechanics 29, 1131–1140 (2008)

    Article  MATH  Google Scholar 

  12. Tang, Z.Y., He, S., Yang, M.Y., et al.: Adaptive control based on neural network for uncertain space robot. In: Proceedings of SPIE-2011 International Conference on Photonics, 3D-Imaging, and Visualization, Guangzhou, China, 82052Z1–82052Z6 (2011)

    Google Scholar 

  13. Kumar, N., Panwar, V., Borm, J.H., et al.: Adaptive neural controller for space robot system with an attitude controlled base. Neural Computing and Applications 23, 2333–2340 (2013)

    Article  Google Scholar 

  14. Chen, Z.Y., Chen, L.: Adaptive neural network compensating control for coordinated motion of space-based robot system with uncertain parameters and external disturbances. In: Proceedings of the ASME 2009 International Design Engineering Technical Conference & Computers and Information in Engineering Conference, San Diego, CA, USA, 4, 1901–1907 (2009)

    Google Scholar 

  15. Huang, D.F., Chen, L.: Fuzzy wavelet neural network control for coordinated motion of free-floating space manipulator system in joint space. In: Proceedings of the ASME 2009 International Design Engineering Technical Conference & Computers and Information in Engineering Conference, San Diego, California, USA, 4, 1725–1730 (2009)

    Google Scholar 

  16. Tang, X.T., Tang, C.K., Li, H.Z.: Inertial space tracking for free-floating space robot manipulator using RBF-NN based compensating control algorithm. In: Proceedings of the 2011 IEEE International Conference on Robotics and Biomimetics, Phuket, Thailand, 756–760 (2011)

    Chapter  Google Scholar 

  17. Guo, Y.S., Chen, L.: Adaptive sliding mode control for coordinated motion of free-floating space manipulators based on filtering technique. In: Proceedings of the ASME 2009 International Design Engineering Technical Conference & Computers and Information in Engineering Conference, San Diego, California, USA, 4, 1793–1798 (2009)

    Google Scholar 

  18. Tsuda, S., Kobayasshi, T.: Space robot control for unknown target handling. Lecture Notes in Electrical Engineering 110, 11–24 (2012)

    Article  Google Scholar 

  19. Obermark, J., Greamer, G., Kelm, B.E., et al.: SUMO/FRIEND: Vision system for autonomous satellite grapple. In: Proceedings of SPIE-Sensors and Systems for Space Applications, Orlando, Florida, USA, 65550Y-1–65550Y-11 (2007)

    Google Scholar 

  20. Walker, M.W.: Adaptive control of manipulators containing closed kinematic loops. IEEE Transactions on Robotics and Automation 6, 10–19 (1990)

    Article  Google Scholar 

  21. Damaren, C.J.: An adaptive controller for two cooperating flexible manipulators. Journal of Robotic Systems 20, 15–21 (2003)

    Article  MATH  Google Scholar 

  22. Gueaieb, W., Al-Sharhan, S., Bolic, M.: Robust computationally efficient control of cooperative closed-chain manipulators with uncertain dynamics. Automatica 43, 842–851 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  23. Yale, G.E., Agrawal, B.N.: Cooperative control of multiple space manipulators. AIAA-94-3653-CP

  24. Yale, G.E., Agrawal, B.N.: Lyapunov controller for cooperative space manipulators. Journal of Guidance, Control and Dynamics 21, 477–484 (1998)

    Article  Google Scholar 

  25. Hughes, P.C.: Spacecraft Attitude Dynamics. John Wiley & Sons, Inc, New York (1986)

    Google Scholar 

  26. Banerjee, A.K., Kane, T.R.: Large motion dynamics of a spacecraft with a closed loop, articulated, flexible appendage. In: Proc. of 25th AIAA Structures, Structural Dynamics & Materials Confernece, CA, USA, 1–37 (1984)

    Google Scholar 

  27. Bajodah, A.H., Hodges, D.H., Chen, Y.H.: New form of Kane’s equations of motion for constrained systems. Journal of Guidance, Control and Dynamics 26, 79–88 (2003)

    Article  Google Scholar 

  28. Jia, Y.H., Xu, S.J., Hu, Q.: Dynamics of a rigid multibody system with loop constraints using only independent motion variables. In: Proc. of 62nd International Astronautical Congress, Cape Town, South Africa, 5009–5020 (2011)

    Google Scholar 

  29. Jia, Y.H., Xu, S.J., Hu, Q.: Dynamics of a spacecraft with large flexible appendage constrained by multi-strut passive damper. Acta Mechanica Sinica 29, 294–308 (2013)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Astronautics, Beihang University, 100191, Beijing, China

    Ying-Hong Jia, Quan Hu & Shi-Jie Xu

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  1. Ying-Hong Jia
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  2. Quan Hu
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  3. Shi-Jie Xu
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Correspondence to Ying-Hong Jia.

Additional information

The project was supported by the National Natural Science Foundation of China (11272027).

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Jia, YH., Hu, Q. & Xu, SJ. Dynamics and adaptive control of a dual-arm space robot with closed-loop constraints and uncertain inertial parameters. Acta Mech Sin 30, 112–124 (2014). https://doi.org/10.1007/s10409-014-0005-1

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  • DOI: https://doi.org/10.1007/s10409-014-0005-1

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