Cluster Computing

, Volume 22, Supplement 2, pp 4877–4882 | Cite as

A location algorithm based on Stiefel manifold particle filtering

  • Yao JunEmail author
  • Wang Zhijin


To improve precision of positioning process of spacecraft, with full consideration of light conditions, a kind of spacecraft positioning algorithm for particle filter based on Stiefel manifold was proposed. Firstly, wireless signal tracking model of spacecraft positioning was provided and observation model for moving object positioning was built based on path loss model; secondly, the concept of invariant measure was introduced and particle filter of Stiefel manifold was built to realize improvement of algorithm performance. In addition, it was applied to research on spacecraft positioning; finally, the effectiveness of the proposed model was verified through simulation experiment.


Stiefel Particle filter Spacecraft Positioning algorithm 


  1. 1.
    Liu, C., Li, Y., Zhang, Y., Yang, C., Wu, H., Qin, J., Cao, Y.: Solution-processed, undoped, deep-blue organic light-emitting diodes based on starburst oligofluorenes with a planar triphenylamine Core. Chemistry 18(22), 6928–6934 (2012)Google Scholar
  2. 2.
    Abdelhamid, D., Arslan, H., Zhang, Y., Uhrich, K.E.: Role of branching of hydrophilic domain on physicochemical properties of amphiphilic macromolecules. Polym. Chem. 5(4), 1457–1462 (2014)Google Scholar
  3. 3.
    Abdelhamid, D.S., Zhang, Y., Lewis, D.R., Moghe, P.V., Welsh, W.J., Uhrich, K.E.: Tartaric acid-based amphiphilic macromolecules with ether linkages exhibit enhanced repression of oxidized low density lipoprotein uptake. Biomaterials 53, 32–39 (2015)Google Scholar
  4. 4.
    Zhang, Y., Chan, J.W., Moretti, A., Uhrich, K.E.: Designing polymers with sugar-based advantages for bioactive delivery applications. J. Control. Release 219, 355–368 (2015)Google Scholar
  5. 5.
    Zhang, Y., Li, Q., Welsh, W.J., Moghe, P.V., Uhrich, K.E.: Micellar and structural stability of nanoscale amphiphilic polymers: implications for anti-atherosclerotic bioactivity. Biomaterials 84, 230–240 (2016)Google Scholar
  6. 6.
    Chan, J.W., Zhang, Y., Uhrich, K.E.: Amphiphilic macromolecule self-assembled monolayers suppress smooth muscle cell proliferation. Bioconjug. Chem. 26(7), 1359–1369 (2015)Google Scholar
  7. 7.
    Zhang, Y., Mintzer, E., Uhrich, K.E.: Synthesis and characterization of PEGylated bolaamphiphiles with enhanced retention in liposomes. J. Coll. Interface Sci. 482, 19–26 (2016)Google Scholar
  8. 8.
    Francisco, J.B.: Nonmonotone algorithm for minimization on closed sets with applications to minimization on Stiefel manifolds. Elsevier, Amsterdam (2012)Google Scholar
  9. 9.
    Marjanovic, G., Solo, V.: An engineer’s guide to particle filtering on the stiefel manifold. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, (2017)Google Scholar
  10. 10.
    Zhu, Z.Y., Li, J., Yang, G.X.: Particle filtering based on Stiefel manifold and linear optimizing resampling. Control Decis. 25(11), 1747–1751 (2010)Google Scholar
  11. 11.
    Zhu, Z.Y., Li, J., Yang, G.X.: Particle filtering based on the Stiefel manifold and linear optimizing resampling. Optics Commun. 117(s 1–2), 71–77 (1995)Google Scholar
  12. 12.
    Boulanger, J., Said, S., Bihan, N.L., et al.: Filtering from observations on Stiefel manifolds. Signal Process. 122(C), 52–64 (2016)Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Aerospace Engineering, Nanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Department of Science and TechnologyShanghai Institute of Satellite EngineeringShanghaiChina

Personalised recommendations