Initial Alignment of the Attitude and Heading Reference System

Authors

DOI:

https://doi.org/10.20535/1810-0546.2018.1.112794

Keywords:

Gyroscope, Accelerometer, Level axis alignment, Attitude and heading reference system, Inertial measurement unit

Abstract

Background. At the alignment of strapdown inertial navigation system (INS) the main problems are the accuracy and the alignment time. The article discusses the alignment accuracy of the portable gimballess attitude and heading reference system, namely the accuracy of the gyrocompassing mode.

Objective. The aim of the paper is to develop a mathematical model for the gyrocompassing mode error.

Methods. To develop a mathematical model for the gyrocompassing mode error, based on the output signals of the accelerometers and gyroscopes, a cosine matrix is obtained. Using the elements of cosine matrix, the full mathematical model of the gyrocompassing error is obtained by the variation method, which depends on the gyros’ drifts, the errors of the accelerometers and the error in determining the latitude of the place.

Results. The main result of the study is the derivation of the full formula for the gyrocompassing error.

Conclusions. The greatest influence on the gyrocompassing error is the drift of gyroscopes. Therefore, it is necessary to use more precise gyroscopes to increase the alignment accuracy.

Author Biographies

Vadym V. Avrutov, Igor Sikorsky Kyiv Polytechnic Institute

Вадим Вікторович Аврутов

Dmytro V. Buhaiov, Igor Sikorsky Kyiv Polytechnic Institute

Дмитро Віталійович Бугайов

Vladislav V. Meleshko, Igor Sikorsky Kyiv Polytechnic Institute

Владислав Валентинович Мелешко

References

C. Lubin et al., “Initial alignment by attitude estimation for strapdown inertial navigation systems, IEEE Trans. Instrument. Measur., vol. 64, no. 3, pp. 784–794, 2015. doi: 10.1109/TIM.2014.2355652

Y.F. Jiang, “Error analysis of analytic coarse alignment methods”, IEEE Trans. Aerospace Electron. Syst., vol. 34, no. 1, pp. 334–337, 1998. doi: 10.1109/7.640292

F.O. Silva et al., “Influence of latitude in coarse self-alignment of strapdown inertial navigation systems”, in Proc. Position, Location and Navigation Symposium PLANS 2014, 2014 IEEE/ION, Monterey, May 5–8, 2014. doi: 10.1109/PLANS.2014.6851496

X. Jiangning et al., “A novel autonomous initial alignment method for strapdown inertial navigation system”, IEEE Trans. Instru­ment. Measur., vol. 66, no. 9, pp. 2274–2282, 2017. doi: 10.1109/TIM.2017.2692311

O. Tekinalp and M. Ozemre, “Artificial neural networks for transfer aligment and calibration of inertial navigation systems”, in Proc. AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal, Canada, Aug. 2001. doi: 10.2514/6.2001-4406

Z. Feng et al., “A analytic coarse alignment method for SINS based on two-step recursive least squares”, in Proc. Chinese Automation Congress (CAC), Wuhan, China, 2015. doi: 10.1109/CAC.2015.7382851

S.G. Nikolaev and A.V. Golota, “Strapdown inertial navigation system calibration”, in Proc. Ural Conf. Measurements (UralCon), Chelyabinsk, Russia, 2017. doi: 10.1109/URALCON.2017.8120689

A.B. Chatfield, Fundamentals of High Accuracy Inertial Navigation. American Institute of Aeronautics and Astronautics, 1997, pp. 109–128. doi: 10.2514/4.866463

H.W. Park et al., “Covariance analysis of strapdown ins considering gyrocompass characteristics”, IEEE Trans. Aerospace Electron. Syst., vol. 31, no. 1, pp. 320–328, 1995. doi: 10.1109/7.366314

C. Lubin et al., “Strapdown inertial navigation system alignment based on marginalised unscented kalman filter”, IET Sci. Measur. Technol., vol. 7, no. 2, p. 128, 2013. doi: 10.1049/iet-smt.2012.0071

D.Y. Chung et al., “Strapdown INS error model for multiposition alignment”, IEEE Trans. Aerospace Electron. Syst., vol. 32, no. 4, pp. 1362–1366, 1996. doi: 10.1109/7.543857

B. Malakar and B.K. Roy, “A novel application of adaptive filtering for initial alignment of Strapdown Inertial Navigation System”, in Proc. Circuits, Systems, Communication and Information Technology Applications (CSCITA), Mumbai, India, 2014. doi: 10.1109/CSCITA.2014.6839257

M.E. Pittelkau, “Kalman filtering for spacecraft system alignment calibration”, J. Guidance, Control and Dynamics, vol. 24, no. 6, pp. 1187–1195, 2001. doi: 10.2514/2.4834

D. Yang et al., “A fast alignment method for SINS with large misalignment angles based on ADRC”, in Proc. Integrated Communications, Navigation and Surveillance Conference (ICNS), Herndon, VA, USA, 2017. doi: 10.1109/ICNSURV.2017.8011898

C. Hua, “Gyrocompass alignment with base motions: Results for a 1 nmi/h INS/GPS system”, J. Institute of Navigation, vol. 47, no. 2, pp. 65–74, 2000. doi: 10.1002/j.2161-4296.2000.tb00202.x

G. Wei et al., “Application of nonlinear filtering for SINS initial alignment”, in Proc. 2006 IEEE Int. Conf. Mechatronics and Automation, Luoyang, Henan, China, 2006. doi: 10.1109/ICMA.2006.257663

C. Johnson et al., “Attitude dilution of precision – A new metric for observability of inflight alignment errors”, in Proc. 18th Appl. Aerodyn. Conf., Denver, CO, USA, Aug. 2000. doi: 10.2514/6.2000-4277

M.J. Yu et al., “Comparison of SDINS inflight alignment using equivalent error models”, IEEE Trans. Aerospace Electron. Syst., vol. 35, no. 3, pp. 1046–1053, 1999. doi: 10.1109/7.784073

D.H. Titterton and J.L. Weston, Strapdown Inertial Navigation Technology, 2nd ed. London, UK: IET, 2004, 558 p.

Published

2018-03-12

Issue

Section

Art