Calibration for gimbaled platform inertial navigation system on centrifuge

Abstract

In order to calibrate the error coefficients of the gimbaled platform inertial navigation system on precision centrifuge precisely and effectively, a six-position calibration scheme is provided. Firstly, the error models of the platform inertial navigation system are established and the applied acceleration equation is given. Then, the redundancy of the error coefficients is analyzed and a method of studying the observability based on the correlation coefficients is proposed. Finally, the optimal calibration scheme is obtained using the genetic algorithm. Simulation results show that the error coefficients can be effectively calibrated through the proposed scheme.

Keywords

Platform inertial navigation system centrifuge calibration redundancy correlation coefficient

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References

Syed

Aggarwal

Goodall

et al.

A new multi-position calibration method for MEMS inertial navigation systems. Meas Sci Technol 2007; 18: 1897–1907.

Wang

X-l

Guo

L-h

. An intelligentized and fast calibration method of SINS on moving base for planed missiles. Aerosp Sci Technol 2009; 13: 216–223.

Zhang

H-l

Y-x

W-q

et al.

Improved multi-position calibration for inertial measurement units. Meas Sci Technol 2010; 21: 1–11.

Grewal

Henderson

. Application of Kalman filtering to the calibration and alignment of navigation systems. IEEE Trans Autom Control 1991; (36): 3–13.

Cao

Cai

Zhang

S-f

et al.

A new continuous self-calibration scheme for a gimbaled inertial measurement unit. Meas Sci Technol 2012; 23: 015103(12 pp)–015103(12 pp).

Ding

Z-j

Cai

Yang

H-b

et al.

Continuous self-calibration and self-alignment method for floated inertial platform. J Natl Univ Defen Technol 2015; 37: 148–154.

Std 836™-2009. IEEE recommended practice for precision centrifuge testing of linear accelerometers. Piscataway, NJ: The Institute of Electrical and Electronics Engineers.

Qiao

Y-h

Liu

B-k

et al.

Research on testing method of error model coefficients of gyro accelerometer on centrifuge. J Astronaut 2007; 28: 854–859.

Wang

S-m

Ren

S-q

. Calibration of cross quadratic term of gyro accelerometer on centrifuge and error analysis. Aerosp Sci Technol 2015; 43: 30–36.

10.

Ren

S-q

Chen

Zhao

Z-h

. Influence of rotary errors of centrifuge spindle on accelerometer input accuracy. J Chin Inert Technol 2007; 15: 116–119.

11.

Wang

S-m

Ren

S-q

. Relationship between calibration accuracy of error model coefficient of accelerometer and errors of precision centrifuge. J Astronaut 2012; 33: 520–526.

12.

Lorenzini DA. A new gyroscope centrifuge test. AD715906, SRL-TR-70-0018, 24pp, December 1970.

13.

Wang

S-m

Ren

S-q

Wang

C-h

. Calibration of gyro error model coefficients on precision centrifuge with counter-rotating platform. J Chin Inert Technol 2012; 20: 625–630.

14.

Hellings FJ. Application of extended Kalman filtering to a dynamic laboratory calibration of an inertial navigation system. AD763718, 1973.

15.

Tang

J-h

Z-x

Deng

Z-l

. The sub-step identification of inertial platform drift error coefficients based on sensitivity analysis. J Astronaut 2008; 29: 1845–1851.

16.

Ding

Z-j

Zhang

S-f

Cai

et al.

Observability of self-calibration and self alignment for inertially stabilized platform. Proc ImechE, Part G: J Aerospace Engineering 2016; 230: 2120–2134.