Instantaneous Attitude Determination Based on Original Multi-antenna Observations Using Adaptively Robust Kalman Filtering

  • GAN Yu ,
  • SUI Lifen ,
  • LIU Changjian ,
  • DONG Ming
Expand
  • Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450000, China

Received date: 2014-09-24

  Revised date: 2015-05-14

  Online published: 2015-09-24

Supported by

The National Natural Science Foundation of China(Nos.41274016;40974010);Key Fund of Geographic Information Engineering National Key Laboratory(No.SKLGIE2014-Z-2-1)

Abstract

Attitude determination directly by carrier phase observation makes optimal use of observation and attitude constraints. The phase models based on misalignment angle and multiplicative quaternion error are derived. The state models for attitude estimation with and without external angular rate sensors are both erected. The attitude errors are estimated by adaptively robust filtering, in which the adaptive factors of ambiguity and attitude error are decided respectively following the idea of multi adaptive factor filtering. The factor of attitude is determined by a three-section function containing Ratio. Adaptively robust filtering makes the best use of constraint and historical information, fusing them in the calculation of float solution. As the accuracy of float solution and the structure of covariance matrix are improved greatly, the fix solution can be searched efficiently using LAMBDA (least-squares ambiguity decorrelation adjustment) method merely, perfectly fulfilling the real-time requirement. Field test of a ship-based three-antenna attitude system is used to validate the proposed method. It is showed that direct attitude determination based on adaptively robust filtering has obvious advantages in efficiency and reliability.

Cite this article

GAN Yu , SUI Lifen , LIU Changjian , DONG Ming . Instantaneous Attitude Determination Based on Original Multi-antenna Observations Using Adaptively Robust Kalman Filtering[J]. Acta Geodaetica et Cartographica Sinica, 2015 , 44(9) : 945 -951 . DOI: 10.11947/j.AGCS.2015.20140492

References

[1] LIU Zhijian, LIU Yi. Algorithm of a Real-time Attitude System Using Non-dedicated GPS Receivers [J]. Acta Geodaetica et Cartographica Sinica, 2005, 34(3): 213-217. (刘志俭, 刘毅.一种基于非专用接收机的GPS实时定姿算法[J]. 测绘学报, 2005, 34(3): 213-217.)
[2] LIU Genyou, OU Jikun. Determining Attitude with Single Epoch GPS Algorithm and Its Precision Analysis [J]. Geomatics and Information Science of Wuhan University, 2003, 28(6): 732-735. (刘根友, 欧吉坤. GPS单历元定向和测姿算法及其精度分析[J]. 武汉大学学报: 信息科学版, 2003, 28(6): 732-735.)
[3] LI Zhenghang, LIU Wanke, LOU Yidong, et al. Heading Determination Algorithm with Single Epoch Dual-frequency GPS Data [J]. Geomatics and Information Science of Wuhan University, 2007, 32(9): 753-756. (李征航, 刘万科, 楼益栋, 等. 基于双频GPS数据的单历元定向算法研究[J]. 武汉大学学报: 信息科学版, 2007, 32(9): 753-756.)
[4] TANG Weiming, LI Di, CHI Fengming. Research on Single Epoch Orientation Algorithm of BeiDou Navigation Satellite System [J]. Geomatics and Information Science of Wuhan University, 2013, 38(9): 1014-1017. (唐卫明, 李笛, 迟凤明. 北斗卫星导航系统单历元定向算法研究[J]. 武汉大学学报: 信息科学版, 2013, 38(9): 1014-1017.)
[5] LU Gang, CANNON M E. Attitude Determination Using a Multi-antenna GPS System for Hydrographic Applications [J]. Marine Geodesy, 1994, 17(4): 237-250.
[6] WANG C, LACHAPELLE G. GPS Attitude Determination Reliability Performance Improvement Using Low Cost Receivers[C]//Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation.Portland, OR:[s.n.], 2002: 1064-1074.
[7] SCHLEPPE J. Development of a Real-time Attitude System Using a Quaternion Parameterization and Non-dedicated GPS Receivers [D]. Alberta, Canada: The University of Calgary, 1996.
[8] TEUNISSEN P J G. A General Multivariate Formulation of the Multi-antenna GNSS Attitude Determination Problem[J]. Artificial Satellites, 2007, 42(2): 97-111.
[9] WANG Bing, SUI Lifen,ZHANG Qinghua, et al. Research on Attitude Determination Algorithms Using GPS [J]. Geomatics and Information Science of Wuhan University, 2013, 38(12): 1392-1395. (王冰, 隋立芬, 张清华,等. 利用GPS解算载体测姿的算法研究[J]. 武汉大学学报: 信息科学版, 38(12): 1392-1395.)
[10] CHAI Yanju. Theory and Method for Improving the Navigation Accuracy of GPS/INS Integration by Digging the Hidden Information [D]. Wuhan: Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 2008. (柴艳菊. 挖掘信息提高GPS/INS 导航精度的理论与方法研究[D]. 武汉: 中国科学院测量与地球物理研究所, 2008.)
[11] YANG Yuanxi, HE Haibo, XU Guochang. A New Adaptively Robust Filtering for Kinematic Geodetic Positioning[J]. Journal of Geodesy, 2001, 75(2-3):109-116.
[12] YANG Yuanxi, HE Haibo, XU Tianhe. Adaptive Robust Filtering for Kinematic GPS Positioning[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(4): 293-298. (杨元喜, 何海波, 徐天河. 论动态自适应滤波[J]. 测绘学报, 2001, 30(4): 293-298.)
[13] MARKLEY F L. Attitude Error Representations for Kalman Filtering [J]. Journal of Guidance, Control, and Dynamics, 2003, 26(2): 311-317.
[14] CUI Xianqiang, YANG Yuanxi. Adaptively Robust Filterring with Classified Adaptive Factors [J]. Progress in Natural Science, 2006, 16(4): 490-494. (崔先强, 杨元喜. 分类因子自适应抗差滤波[J]. 自然科学进展, 2006, 16(4): 490-494.)
[15] YANG Yuanxi, CUI Xianqiang. Adaptively Robust Filter with Multi Adaptive Factors [J]. Survey Review, 2008, 40(309): 260-270.
[16] ODIJK D, TEUNISSEN PJG. ADOP in Closed Form for a Hierarchy of Multi-frequency Single-baseline GNSS Models[J]. Journal of Geodesy, 2008, 82(8): 473-492.
Outlines

/