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Integrated GNSS Attitude and Position Determination based on an Affine Constrained Model

Published online by Cambridge University Press:  01 August 2017

Haiying Liu*
Affiliation:
(College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China) (Nottingham Geospatial Institute and Sino-UK Geospatial Engineering Centre, University of Nottingham, Nottingham, NG7 2TU, UK)
Lei Xu
Affiliation:
(College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China)
Xiaolin Meng
Affiliation:
(Nottingham Geospatial Institute and Sino-UK Geospatial Engineering Centre, University of Nottingham, Nottingham, NG7 2TU, UK)
Xibei Chen
Affiliation:
(College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China)
Junyi Li
Affiliation:
(First Geodetic Team, National Administration of Surveying, Mapping and Geoinformation, Xi'an, China)
*

Abstract

Global Navigation Satellite System (GNSS) attitude determination and positioning play an important role in many navigation applications. However, the two GNSS-based problems are usually treated separately. This ignores the constraint information of the GNSS antenna array and the accuracy is limited. To improve the performance of navigation, an integrated attitude and position determination method based on an affine constraint model is presented. In the first part, the GNSS array model and affine constrained attitude determination method are compared with the unconstrained methods. Then the integrated attitude and position determination method is presented. The performance of the proposed method is tested with a series of static data and dynamic experimental GNSS data. The results show that the proposed method can improve the success rate of ambiguity resolution to further improve the accuracy of attitude determination and relative positioning compared to the unconstrained methods.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2017 

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References

REFERENCES

Ardaens, J.S. and Florio, S.D. (2013). Autonomous formation flying based on GPS-PRISMA flight results. Acta Astronautica, 82(1), 6979.Google Scholar
Baroni, L. and Kuga, H.K. (2012). Analysis of attitude determination methods using GPS carrier phase measurements. Mathematical Problem in Engineering, 2012(1), 95102.CrossRefGoogle Scholar
Buist, P.J. (2013). Multi-platform integrated positioning and attitude determination using GNSS. Dissertation, Delft University of Technology.Google Scholar
Buist, P.J., Teunissen, P.J.G., Giorgi, G. and Verhagen, S. (2009). Multiplatform instantaneous GNSS ambiguity resolution for triple- and quadruple-antenna configurations with constraints. International Journal of Navigation and Observation, 2009, 114.CrossRefGoogle Scholar
Dai, Z., Knedlik, S. and Loffeld, O. (2009). A MATLAB toolbox for attitude determination with GPS multi-antenna systems. GPS Solutions, 13(3), 241248.CrossRefGoogle Scholar
Giorgi, G. and Teunissen, P.J.G. (2013). Low-complexity instantaneous ambiguity resolution with the affine-constrained GNSS attitude model. IEEE Transactions on Aerospace and Electronic Systems, 49(3), 17451759.CrossRefGoogle Scholar
Giorgi, G., Verhagen, S., Buist, P.J., and Teunissen, P.J.G. (2011a). GNSS based attitude determination: aerospace and formation flying. Inside GNSS, 6(4), 6271 Google Scholar
Giorgi, G., Teunissen, P.J.G., Verhagen, S. and Buist, P.J. (2011b). Instantaneous ambiguity resolution in GNSS-based attitude determination applications: the MC-LAMBDA method. Journal of Guidance, Control and Dynamics, 35(1), 5167.CrossRefGoogle Scholar
Hofmann, W.B., Lichtenegger, H. and Wasle, E. (2008). GNSS-global navigation satellite systems. Springer-Verlag, Wien, New York.Google Scholar
Jazaeri, S., Amiri-Simkooei, A. and Sharifi, M.A. (2014). On lattice reduction algorithms for solving weighted integer least squares problems: comparative study. GPS Solutions, 18(1), 105114.CrossRefGoogle Scholar
Boeer, J., Steinbrecher, U., Bachmann, M., Schulze, D. and Braeutigam, B. (2014). Overview and status of TerraSAR-X /TanDEM-X long term system monitoring[C], Proceedings of 10th European Conference on Synthetic Aperture Radar, Berlin, Germany, 2014, 14 Google Scholar
Lee, J.H., Sevil, H.E., Dogan, A. and Hullender, D. (2014). Estimation of receiver aircraft states and wind vectors in aerial refuelling. Journal of Guidance, Control, and Dynamics, 37(1), 265276.CrossRefGoogle Scholar
Lenstra, A.K., Lenstra, H.W., Lova'sz, L. (1982). Factoring polynomials with rational coefficients. Mathematische Annalen, 261(4), 513534.CrossRefGoogle Scholar
Li, B., Cao, H.J., Xu, J.N. and Zhu, Y. (2013). Application of carrier phase differential relative navigation for shipboard landing of aircraft. China Satellite Navigation Conference (CSNC) Proceedings Lecture Notes in Electrical Engineering, Vol. 243, 189196.Google Scholar
Nadarajah, N., Paffenholz, J. and Teunissen, P.J.G. (2014a). Integrated GNSS Attitude Determination and Positioning for Direct Geo-Referencing. Sensors, 14(7), 1271512734.CrossRefGoogle ScholarPubMed
Nadarajah, N., Teunissen, P.J.G. and Giorgi, G. (2014b). GNSS attitude determination for remote sensing: on the bounding of the multivariate ambiguity objective function. Earth on the Edge: Science for a Sustainable Planet, 139, 503509.Google Scholar
Nadarajah, N., Teunissen, P.J.G. and Raziq, N. (2013). Instantaneous GPS–Galileo attitude determination: single-frequency performance in satellite-deprived environments. IEEE Transactions on Vehicular Technology, 62(7), 29632976.CrossRefGoogle Scholar
Seysen, M. (1993). Simultaneous reduction of a lattice basis and its reciprocal basis. Combinatorica, 13(3), 363376.CrossRefGoogle Scholar
Stephenson, S., Meng, X. and Moore, T. (2014). Not just a fairy tale: a Hansel and Gretel approach to cooperative vehicle positioning. GPS World, 25(7), 4450.Google Scholar
Teunissen, P.J.G. (2003). Towards a unified theory of GNSS ambiguity resolutions. Journal of Global Positioning System,2(1), 112.CrossRefGoogle Scholar
Teunissen, P.J.G. (2007). A general multivariate formulation of the multi-antenna GNSS attitude determination problem. Artificial Satellites, 42(2), 97111.CrossRefGoogle Scholar
Teunissen, P.J.G. (2012). The affine constrained GNSS attitude model and its multivariate integer least-squares solution. Journal of Geodesy, 86(7), 547563.CrossRefGoogle Scholar
Teunissen, P.J.G. and Verhagen, S. (2011). Integer aperture estimation: a framework for GNSS ambiguity acceptance testing. Inside GNSS, 6(2), 6673 Google Scholar
Werner, W. and Winkel, J. (2003). TCAR and MCAR options with Galileo and GPS. Proceedings of the 16th International Technical Meeting of The Institute of Navigation, Portland, OR, 790800.Google Scholar
Yang, Y., Li, Y., Rizos, C., Dempster, A.G. and Yue, X. (2014). Inter-satellite ranging augmented GPS relative navigation for satellite formation flying. The Journal of Navigation, 67(3), 437449.CrossRefGoogle Scholar