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Multivariate Constrained GNSS Real-time Full Attitude Determination Based on Attitude Domain Search

Published online by Cambridge University Press:  06 December 2018

Hongtao Wu ,
Xiubin Zhao ,
Chunlei Pang ,
Liang Zhang  and
Bo Feng
Hongtao Wu*
Affiliation:
(Information and Navigation College, Air Force Engineering University, Xi'an, Shanxi 710077, People's Republic of China)
Xiubin Zhao
Affiliation:
(Information and Navigation College, Air Force Engineering University, Xi'an, Shanxi 710077, People's Republic of China)
Chunlei Pang
Affiliation:
(Information and Navigation College, Air Force Engineering University, Xi'an, Shanxi 710077, People's Republic of China)
Liang Zhang
Affiliation:
(Information and Navigation College, Air Force Engineering University, Xi'an, Shanxi 710077, People's Republic of China)
Bo Feng
Affiliation:
(Information and Navigation College, Air Force Engineering University, Xi'an, Shanxi 710077, People's Republic of China)
*
(E-mail: navigation_wht@163.com)
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Abstract

A priori attitude information can improve the success rate and reliability of Global Navigation Satellite System (GNSS) multi-antennae attitude determination. However, a priori attitude information is nonlinear, and integrating a priori information into the objective function rigorously will increase the complexity of an ambiguity domain search, such as the Multivariate Constrained-Least-squares Ambiguity Decorrelation Adjustment (MC-LAMBDA) method. In this paper, a new method based on attitude domain search is presented to make use of the a priori attitude angle information with high efficiency. First, the a priori information of pitch and roll is integrated into the search process to derive the analytic search step for attitude angle, and the integer candidates are determined by traversal search in the three-dimensional attitude domain. Then, the objective function is parameterised with Euler angles, and a non-iterative approximate method is utilised to simplify the iterative computation in calculating objective function values. Experimental results reveal that compared to the MC-LAMBDA method, our new method has the same success rate and reliability, but higher efficiency in making use of a priori attitude information.

Keywords

Multi-antennae attitude determinationA priori attitude informationNon-iterative approximate methodAttitude domain search
Type
Research Article
Information
The Journal of Navigation , Volume 72 , Issue 2 , March 2019 , pp. 483 - 502
Copyright
Copyright © The Royal Institute of Navigation 2018 

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References

REFERENCES

Alban, S. (2004). Design and performance of a robust GPS/INS attitude system for automobile applications. Ph.D. Thesis, Stanford University.Google Scholar
Buist, P.J. (2013). Multi-platform integrated positioning and attitude determination using GNSS. Ph.D. Thesis, Delft University of Technology.Google Scholar
Cellmer, S., Wielgosz, P. and Rzepecka, Z. (2010). Modified ambiguity function approach for GPS carrier phase positioning. Journal of Geodesy, 84(4), 264–275.Google Scholar
Cellmer, S. (2012). A graphic representation of the necessary condition for the MAFA method. IEEE Transactions on Geoscience & Remote Sensing, 50(2), 482–488.Google Scholar
Cellmer, S. (2013). Search procedure for improving Modified Ambiguity Function Approach. Survey Review, 45(332), 380–385.Google Scholar
Cellmer, S., Nowel, K. and Kwaśniak, D. (2018). The new search method in precise GNSS positioning. IEEE Transactions on Aerospace and Electronic Systems, 54(1), 404–415.Google Scholar
Chen, W. and Sun, X. (2016). Performance improvement of GPS single frequency, single epoch attitude determination with poor satellite visibility. Measurement Science and Technology, 27(7), 075104.Google Scholar
Counselman, C.C. and Gourevitch, S.A. (1981). Miniature interferometer terminals for earth surveying: ambiguity and multipath with Global Positioning System. IEEE Transactions on Geoscience & Remote Sensing, 19(4), 244–252.Google Scholar
Eling, C., Zeimetz, P. and Kuhlmann, H. (2013). Development of an instantaneous GNSS/MEMS attitude determination system. GPS Solutions, 17(1), 129–138.Google Scholar
Giorgi, G., Teunissen, P.J.G., Verhagen, S. and Buist, P.J. (2009). Improving the GNSS attitude ambiguity success rate with the multivariate constrained LAMBDA method. Proceedings of the IAG Conference on Geodesy for Planet Earth, Buebos Aires, Argentina, 941–948.Google Scholar
Giorgi, G. (2010). The multivariate constrained LAMBDA method for single-epoch, single-frequency GNSS-based full attitude determination. Proceedings of the 23rd International Technical Meeting of The Satellite Division of the Institute of Navigation (ION-GNSS 2010), Portland, Oregon, USA. 1429–1439.Google Scholar
Giorgi, G. and Teunissen, P.J.G. (2010). Carrier phase GNSS attitude determination with the multivariate constrained LAMBDA method. IEEE Aerospace Conference, Big Sky, Montana, USA.Google Scholar
Giorgi, G., Teunissen, P.J.G., Verhagen, S. and Buist, P.J. (2012). Instantaneous ambiguity resolution in Global Navigation Satellites System based attitude determination applications: a multivariate constrained approach. Journal of Guidance, Control, and Dynamics, 35(1), 51–67.Google Scholar
Gong, A., Zhao, X.B., Pang, C.L., Duan, R. and Wang, Y. (2015). GNSS single frequency single epoch reliable attitude determination method with baseline vector constraint. Sensors, 15(12), 30093–30103.Google Scholar
Hatch, R. (1990) Instantaneous ambiguity resolution. IAG International Symposium No. 107, Banff, Alberta, Canada, 99–308.Google Scholar
Han, S. and Rizos, C. (1996). Improving the computational efficiency of the ambiguity function algorithm. Journal of Geodesy, 70, 330–341.Google Scholar
Kim, D. and Langley, R.B. (2000). GPS ambiguity resolution and validation: methodologies, trends and issues. Proceedings of 7th GNSS workshop international symposium on GPS/GNSS, Seoul, Korea, 213–221.Google Scholar
Knight, D. (1994) A new method of instantaneous ambiguity resolution. Proceedings of the ION GPS, Salt Lake City, Utah, USA. 707–717.Google Scholar
Nowel, K., Cellmer, S. and Kwaoniak, D. (2018). Mixed integer-real least squares estimation for precise GNSS positioning using a modified ambiguity function approach. GPS Solutions, 22(1), 22–31.Google Scholar
Park, C., Kim, I., Lee, J.G. and Jee, G.I. (1996). Efficient ambiguity resolution using constraint equation. Proceedings of IEEE Position Location and Navigation Symposium, Atlanta, Georgia, USA.Google Scholar
Park, C. and Teunissen, P.J.G. (2009). Integer least squares with quadratic equality constraints and its application to GNSS attitude determination systems. International Journal of Control Automation and Systems, 7(4), 566–576.Google Scholar
Sun, X., Han, C. and Chen, P. (2017) Instantaneous GNSS attitude determination: A Monte Carlo Sampling Approach. Acta Astronautica, 133, 24–29.Google Scholar
Teunissen, P.J.G. (1995). The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70, 65–82.Google Scholar
Teunissen, P.J.G. (2008). A General multivariate formulation of the multi-antenna GNSS attitude determination problem. Artificial Satellites, 42(2), 97–111.Google Scholar
Teunissen, P.J.G. (2010). Integer Least-squares theory for the GNSS compass. Journal of Geodesy, 84, 433–447.Google Scholar
Teunissen, P.J.G., Giorgi, G. and Buist, P.J. (2011). Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments. GPS Solutions, 15(1), 15–28.Google Scholar
Teunissen, P.J.G. (2012). The affine constrained GNSS attitude model and its multivariate integer least-squares solution. Journal of Geodesy, 86, 547–563.Google Scholar