On Analytical Error Analysis of POS for Ground Alignment and Constant-Velocity Flight

Position and orientation system (POS) is widely applied to the various mapping sensors for airborne direct georeferencing. As the accuracy requirements vary in different mapping applications, the POS error analysis is important for the system design. In this paper, an analytical approach to the POS error analysis for ground alignment and constant-velocity flight is proposed. First, the simplified system model is obtained for the error analysis. Then, by applying the two-stage Kalman filter, the analytical relations between the attitude errors and estimation errors of the biases of the inertial sensors are derived. Finally, the experiment is carried out to confirm the effectiveness of the proposed method. The proposed method is not only effective and straightforward but also provides us some new insights into the POS error characteristics.

[1]  Jennifer Denise Gautier,et al.  GPS/INS generalized evaluation tool (GIGET) for the design and testing of integrated navigation systems , 2003 .

[2]  John Weston,et al.  Strapdown Inertial Navigation Technology , 1997 .

[3]  Chien-Shu Hsieh,et al.  On the global optimality of unbiased minimum-variance state estimation for systems with unknown inputs , 2010, Autom..

[4]  Yuanxin Wu,et al.  Observability of Strapdown INS Alignment: A Global Perspective , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[5]  Jiancheng Fang,et al.  An Accurate Gravity Compensation Method for High-Precision Airborne POS , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[6]  Jia Guo,et al.  On Designing PMI Kalman Filter for INS/GPS Integrated Systems With Unknown Sensor Errors , 2015, IEEE Sensors Journal.

[7]  Sinpyo Hong,et al.  Observability of error States in GPS/INS integration , 2005, IEEE Transactions on Vehicular Technology.

[8]  Jia Guo,et al.  Calibration and Compensation of the Scale Factor Errors in DTG POS , 2013, IEEE Transactions on Instrumentation and Measurement.

[9]  I. Bar-Itzhack,et al.  Control theoretic approach to inertial navigation systems , 1988 .

[10]  Jiancheng Fang,et al.  Integrated Calibration Method for Dithered RLG POS Using a Hybrid Analytic/Kalman Filter Approach , 2013, IEEE Transactions on Instrumentation and Measurement.

[11]  Jiancheng Fang,et al.  Error Analysis and Gyro-Bias Calibration of Analytic Coarse Alignment for Airborne POS , 2012, IEEE Transactions on Instrumentation and Measurement.

[12]  Samuel L. Fagin A Unified Approach to the Error Analysis of Augmented Dynamically Exact Inertial Navigation Systems , 1964, IEEE Transactions on Aerospace and Navigational Electronics.

[13]  Martin Davis Global positioning systems , 2017 .

[14]  I. Colomina,et al.  Relative INS/GNSS aerial control in integrated sensor orientation: Models and performance , 2012 .

[15]  Jeong Gu Lee,et al.  Multiposition alignment of strapdown inertial navigation system , 1993 .

[16]  C.K. Toth Sensor integration in airborne mapping , 2001, IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in the Age of Informatics (Cat. No.01CH 37188).

[17]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[18]  Yuanxin Wu,et al.  INS/GPS Integration: Global Observability Analysis , 2009, IEEE Trans. Veh. Technol..

[19]  J. Farrell,et al.  The global positioning system and inertial navigation , 1999 .

[20]  Marc Maufort Global Positioning Systems , 2013 .

[21]  Jiancheng Fang,et al.  A Hybrid Prediction Method for Bridging GPS Outages in High-Precision POS Application , 2014, IEEE Transactions on Instrumentation and Measurement.

[22]  Mamoun F. Abdel-Hafez On the development of an inertial navigation error-budget system , 2011, J. Frankl. Inst..

[23]  Ernest J. Ohlmeyer,et al.  Assesment of integrated GPS/INS for the EX-171 Extended Range Guided Munition , 1998 .

[24]  M. Ignagni,et al.  Separate bias Kalman estimator with bias state noise , 1990 .

[25]  Sinpyo Hong,et al.  Observability Measures and Their Application to GPS/INS , 2008, IEEE Transactions on Vehicular Technology.

[26]  B. Friedland Treatment of bias in recursive filtering , 1969 .