Application of Trajectory Optimization Method for a Space Manipulator with Four Degrees of Freedom

Tomasz Rybus, Karol Seweryn, Jurek Z. Sąsiadek

Abstract

Planned active debris removal and on-orbit servicing missions require capabilities for capturing objects on Earth’s orbit, e.g., by the use of a manipulator. In this paper we demonstrate the application of a trajectory optimization algorithm for free-floating satellite-manipulator systems in two cases: a planar system with 2 degrees of freedom manipulator and a spatial system with a manipulator having four degrees of freedom. For the case with planar system, results of experiments performed on an air-bearing microgravity simulator are shown. Quadratic norm connected with the power consumption of manipulator motors has been used as a cost functional that is minimized. Optimal trajectories are compared with straight-line trajectories and it is shown that the optimization allows reduction of the power use of manipulator motors (for the planar system 30 trajectories based on randomly selected initial and final end-effector positions were analysed and the cost functional was, on average, reduced by 49.4%). The presented method could be modified by using cost functional that would, e.g., minimize disturbance on the satellite.

References

  1. Aghili, F. (2008) 'Optimal control for robotic capturing and passivation of a tumbling satellite with unknown dynamics', AIAA Guidance, Navigation, and Control Conference and Exhibit (AIAA-GNC'2008). Honolulu, Hawaii, USA, 18-21 August.
  2. Dubowsky, S., Papadopoulos, E. (1993) 'The kinematics, dynamics, and control of free-flying and free-floating space robotic systems', IEEE Transactions on Robotics and Automation, 9(5), pp. 531-543.
  3. Flores-Abad, A., et al., (2014a) 'Optimal Control of Space Robots for Capturing a Tumbling Object with Uncertainties', Journal of Guidance, Control, and Dynamics, 37(6), pp. 2014-2017.
  4. Flores-Abad, A., et al. (2014b) 'A review of space robotics technologies for on-orbit servicing', Prog. Aerosp. Sci., 68, pp. 1-26.
  5. Hausmann, G., et al. (2015) 'E.Deorbit Mission: OHB Debris Removal Concepts', 13th Symposium on Advanced Space Technologies in Robotics and Automation (ASTRA'2015). Noordwijk, The Netherlands, 11-13 May.
  6. Junkins, J.L., Schaub, H. (1997) 'An Instantaneous Eigenstructure Quasivelocity Formulation for Nonlinear Multibody', Dynamics. J. Astronaut. Sci., 45(3), pp. 279-295.
  7. Kaigom, E. G., Jung, T. J., Rossmann, J. (2011) 'Optimal Motion Planning of a Space Robot with Base Disturbance Minimization', 11th Symposium on Advanced Space Technologies in Robotics and Automation (ASTRA'2011). Noordwijk, The Netherlands, 12-14 April.
  8. Lindberg, R. E., Longman, R. W., Zedd, M. F. (1993) 'Kinematic and dynamic properties of an elbow manipulator mounted on a satellite', in Xu, Y., Kanade, T. (eds.) Space Robotics: Dynamics and Control. New York: Springer.
  9. Liou, J.-C., Johnson, N.L., Hill, N.M. (2010) 'Controlling the growth of future LEO debris populations with active debris removal', Acta Astronautica, 66 (5-6), pp. 648 - 653.
  10. Rybus ,T., Seweryn, K. (2015) 'Manipulator trajectories during orbital servicing mission: numerical simulations and experiments on microgravity simulator', 6th European Conference for Aeronautics and Space Sciences (EUCASS'2015). Kraków, Poland, 29 June -2 July.
  11. Rybus, T., Seweryn, K., Sasiadek, J. Z. (2016) 'Trajectory Optimization of Space Manipulator with Non-zero Angular Momentum During Orbital Capture Maneuver', AIAA Guidance, Navigation, and Control Conference (AIAA-GNC'2016). San Diego, California, USA, 4-8 January.
  12. Rybus, T., et al. (2013) 'New Planar Air-bearing Microgravity Simulator for Verification of Space Robotics Numerical Simulations and Control Algorithms', 12th Symposium on Advanced Space Technologies in Robotics and Automation (ASTRA'2013). Noordwijk, The Netherlands, 15-17 May.
  13. Seweryn, K., Banaszkiewicz, M. (2008) 'Optimization of the Trajectory of a General Free-Flying Manipulator During the Rendezvous Maneuver', AIAA Guidance, Navigation, and Control Conference and Exhibit (AIAA-GNC'2008). Honolulu, Hawaii, USA, 18-21 August.
  14. Seweryn, K., et al. (2014) 'The laboratory model of the manipulator arm (WMS1 LEMUR) dedicated for onorbit operation', 12th International Symposium on Artificial Intelligence, Robotics and Automation in Space (i-SAIRAS'2014). Saint-Hubert, Quebec, Canada, 17-19 June.
  15. Shah, S. V., et al. (2013) 'Energy optimum reactionless path planning for capture of tumbling orbiting objects using a dual-arm robot', 1st International and 16th National Conference on Machines and Mechanisms (iNaCoMM'2013). IIT Roorkee, India, 18-20 December.
  16. Sullivan, B., Akin, D. (2012) 'Satellite servicing opportunities in geosynchronous orbit', AIAA SPACE 2012 Conference and Exposition. Pasadena, California, USA, 11-13 September.
  17. Umetani, Y., Yoshida, K. (1989) 'Resolved motion rate control of space manipulators with generalized jacobian matrix', IEEE Transactions on Robotics and Automation, 5 (3), pp. 303-314.
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Paper Citation


in Harvard Style

Rybus T., Seweryn K. and Sąsiadek J. (2016). Application of Trajectory Optimization Method for a Space Manipulator with Four Degrees of Freedom . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 92-101. DOI: 10.5220/0005981000920101


in Bibtex Style

@conference{icinco16,
author={Tomasz Rybus and Karol Seweryn and Jurek Z. Sąsiadek},
title={Application of Trajectory Optimization Method for a Space Manipulator with Four Degrees of Freedom},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={92-101},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005981000920101},
isbn={978-989-758-198-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Application of Trajectory Optimization Method for a Space Manipulator with Four Degrees of Freedom
SN - 978-989-758-198-4
AU - Rybus T.
AU - Seweryn K.
AU - Sąsiadek J.
PY - 2016
SP - 92
EP - 101
DO - 10.5220/0005981000920101