ROBUSTNESS OF ISS SYSTEMS TO INPUTS WITH LIMITED MOVING AVERAGE, WITH APPLICATION TO SPACECRAFT FORMATIONS

Esten Ingar Grøtlia, Antoine Chaillet, Elena Panteley, Jan Tommy Gravdahl

2010

Abstract

We provide a theoretical framework that fits realistic challenges related to spacecraft formation with disturbances. We show that the input-to-state stability of such systems guarantees some robustness with respect to a class of signals with bounded average-energy, which encompasses the typical disturbances acting on spacecraft formations. Solutions are shown to converge to the desired formation, up to an offset which is somewhat proportional to the considered moving average of disturbances. The approach provides a tighter evaluation of the disturbances’ influence, which allows for the use of more parsimonious control gains.

References

  1. Angeli, D. and Nes?ic, D. (2001). Power characterizations of input-to-state stability and integral input-to-state stability. IEEE Transactions on Automatic Control, 48:1298-1303.
  2. Angeli, D., Sontag, E. D., and Wang, Y. (2000). A characterization of integral input-to-state stability. IEEE Transactions on Automatic Control, 45:1082-1097.
  3. Berghuis, H. (1993). Model-based Robot Control: from Theory to Practice. PhD thesis, Universiteit Twente.
  4. Berghuis, H. and Nijmeijer, H. (1993). A passivity approach to controller-observer design for robots. IEEE Transactions on Robotics and Automation, 9(6):740-754.
  5. Clohessy, W. H. and Wiltshire, R. S. (1960). Terminal guidance system for satellite rendezvous. Journal of Aerospace Sciences, 27:9.
  6. Grü ne, L. (2002). Input-to-state dynamical stability and its Lyapunov function characterization. IEEE Transactions on Automatic Control, 47:1499-1504.
  7. Grü ne, L. (2004). Quantitative aspects of the input-tostate-stability property. In de Queiroz, M., Malisoff, M., and Wolenski, P., editors, Optimal Control, Stabilization and Nonsmooth Analysis, pages 215-230. Springer-Verlag.
  8. Hanslmeier, A., Denkmayr, K., and Weiss, P. (1999). Longterm prediction of solar activity using the combined method. Solar Physics, 184:213-218.
  9. NASA (1999). On space debris. Technical report, NASA. ISBN: 92-1-100813-1.
  10. Overhage, C. F. J. and Radford, W. H. (1964). The Lincoln Laboratory West Ford Program - An historical perspective. Proceeding of the IEEE, 52:452-454.
  11. Paden, B. and Panja, R. (1988). Globally asymptotically stable 'PD+78 controller for robot manipulators. International Journal of Control, 47(6):1697-1712.
  12. Ploen, S. R., Scharf, D. P., Hadaegh, F. Y., and Acikmese, A. B. (2004). Dynamics of earth orbiting formations. In Proc. of AIAA Guidance, Navigation and Control Conference.
  13. Praly, L. and Wang, Y. (1996). Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability. Mathematics of Control, Signals, and Systems, 9:1-33.
  14. Schäfer, F. (2006). The threat of space debris and micrometeoroids to spacecraft operations. ERCIM NEWS, (65):27-29.
  15. Sontag, E. D. (1989). Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 34:435-443.
  16. Sontag, E. D. (1998). Comments on integral variants of ISS. Systems & Control Letters, 34:93-100.
  17. Sontag, E. D. (2008). Input to state stability: Basic concepts and results. In Nistri, P. and Stefani, G., editors, Nonlinear and Optimal Control Theory, pages 163-220. Springer-Verlag, Berlin.
  18. Sontag, E. D. and Wang, Y. (1995). On characterizations of the input-to-state stability property. Systems & Control Letters, 24:351-359.
  19. Wertz, J. R., editor (1978). Spacecraft attitude determination and control. D. Reidel Publishing company. ISBN: 9027709599.
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Paper Citation


in Harvard Style

Ingar Grøtlia E., Chaillet A., Panteley E. and Tommy Gravdahl J. (2010). ROBUSTNESS OF ISS SYSTEMS TO INPUTS WITH LIMITED MOVING AVERAGE, WITH APPLICATION TO SPACECRAFT FORMATIONS . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8425-02-7, pages 35-44. DOI: 10.5220/0002946500350044


in Bibtex Style

@conference{icinco10,
author={Esten Ingar Grøtlia and Antoine Chaillet and Elena Panteley and Jan Tommy Gravdahl},
title={ROBUSTNESS OF ISS SYSTEMS TO INPUTS WITH LIMITED MOVING AVERAGE, WITH APPLICATION TO SPACECRAFT FORMATIONS},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2010},
pages={35-44},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002946500350044},
isbn={978-989-8425-02-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - ROBUSTNESS OF ISS SYSTEMS TO INPUTS WITH LIMITED MOVING AVERAGE, WITH APPLICATION TO SPACECRAFT FORMATIONS
SN - 978-989-8425-02-7
AU - Ingar Grøtlia E.
AU - Chaillet A.
AU - Panteley E.
AU - Tommy Gravdahl J.
PY - 2010
SP - 35
EP - 44
DO - 10.5220/0002946500350044