Error analysis and compensation for dual-axis inertial navigation system with horizontal rotation modulation

Abstract

Rotational inertial navigation system can significantly improve the navigation accuracy by rotating the inertial measurement unit about gimbals periodically. The precise calibration for installation errors and scale factor errors in rotational inertial navigation system can contribute to better navigation performance further. Especially in application requiring excellent azimuth precision, the horizontal rotation modulation will be badly required to modulate the vertical sensors’ errors as periodic variation, which can make inhibiting effect on the navigation errors. However, it also enlarges the impact of specific errors, which contains gyro’s scale factor error and the installation errors of inertial components. To meet the requirement of navigation precision, this paper has made error analysis and established mathematical model for a proposed horizontal rotation modulation in dual-axis rotational inertial navigation system. The crucial error parameters can be calibrated based on the measurements of attitude and velocity output without additional equipment. The results of experiment performed in an actual system demonstrate that navigation accuracy has been improved significantly, fully illustrating the significance and necessity of the calibration for specific errors in the horizontal rotation modulation.

Keywords

Dual-axis rotational inertial navigation system horizontal rotation modulation error parameters attitude and velocity output high-precision navigation

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References

Titterton

Weston

. Strapdown inertial navigation technology. IEEE Aerosp Electron Syst Mag 2004; 20: 33–34.

Tazartes D. An historical perspective on inertial navigation systems. In: IEEE international symposium on inertial sensors and systems, Laguna Beach, CA, USA, 25–26 February 2014, INSPEC Accession Number: 11290574, pp.1–5. IEEE.

Jurman

Jankovec

Kamnik

et al.

Calibration and data fusion solution for the miniature attitude and heading reference system. Sens Actuat A Phys 2007; 138: 411–420.

Yuan

Liao

Han

. Error compensation of an optical gyro INS by multi-axis rotation. Meas Sci Technol 2012; 23: 91–95.

Sun

Wang

et al.

MEMS-based rotary strapdown inertial navigation system. Measurement 2013; 46: 2585–2596.

Gao

Wang

et al.

A self-calibration method for non-orthogonal angles of gimbals in tri-axis rotational inertial navigation system. IEEE Sens J 2016; 16: 8998–9005.

Chang G, Xu J, Li A, et al. Error analysis and simulation of the dual-axis rotation-dwell autocompensating strapdown inertial navigation system. In: 2010 international conference on measuring technology and mechatronics automation, Changsha City, China, 2010, INSPEC Accession Number: 11290574, pp.124–127. IEEE.

Sabat SL, Giribabu N, Nayak J, et al. Characterization of fiber optics gyro and noise compensation using discrete wavelet transform. In: IEEE international conference on emerging trends in engineering and technology, Nagpur, India, 16–18 December 2009, INSPEC Accession Number: 11119126, pp.909–913. IEEE.

Song

Wang

et al.

A rapid and high-precision initial alignment scheme for dual-axis rotational inertial navigation system. Microsyst Technol 2017; 23: 5515–5525.

10.

Wang

Zhang

. Self-calibration method based on navigation in high-precision inertial navigation system with fiber optic gyro. Opt Eng 2014; 53: 064103–064103.

11.

Gao

Wang

et al.

A self-calibration method for accelerometer nonlinearity errors in triaxis rotational inertial navigation system. IEEE Trans Instrumen Meas 2016; 99: 1–11.

12.

Zhang

Wang

Liu

et al.

An accurate calibration method based on velocity in a rotational inertial navigation system. Sensors 2015; 15: 18443–18458.

13.

Gao

Wang

et al.

A self-calibration method for tri-axis rotational inertial navigation system. Meas Sci Technol 2016; 27: 115009–115009.

14.

Peesapati

Sabat

Karthik

et al.

Efficient hybrid Kalman filter for denoising fiber optic gyroscope signal. Optik – Int J Light Electron Opt 2013; 124: 4549–4556.

15.

Wang

et al.

Identifying Z-axis gyro drift and scale factor error using azimuth measurement in fiber optic gyroscope single-axis rotation inertial navigation system. Opt Eng 2017; 56: 024102–024102.

16.

Wang

Ren

Deng

et al.

A self-calibration method for nonorthogonal angles between gimbals of rotational inertial navigation system. IEEE Trans Ind Electron 2015; 62: 2353–2362.

17.

Ren

Wang

Deng

et al.

A multi-position self-calibration method for dual-axis rotational inertial navigation system. Sens Actuat A Phys 2014; 219: 24–31.

18.

Kurbatov

. Temperature characteristics of fiber-optic gyroscope sensing coils. J Commun Technol Electron 2013; 58: 745–752.

19.

Zhi

Zhuo

Tie

et al.

A novel method for determining and improving the quality of a quadrupolar fiber gyro coil under temperature variations. Optics Express 2013; 21: 2521–2521.

20.

Zhao

Shu

Liu

et al.

Magnetic drift in single depolarizer interferometric fiber-optic gyroscopes induced by orthogonal magnetic field. Opt Eng 2013; 52: 054403–054403.

21.

Gao

. Fiber optic gyroscope vibration error due to fiber tail length asymmetry based on elastic-optic effect. Opt Eng 2012; 51: 4403–4403.

22.

Bekkeng

. Calibration of a novel MEMS inertial reference unit. IEEE Trans Instrum Meas 2009; 58: 1967–1974.

23.

Nieminen

Kangas

Suuriniemi

et al.

An enhanced multi-position calibration method for consumer-grade inertial measurement units applied and tested. Meas Sci Technol 2010; 21: 105204–105204.