Abstract
In order to accurately calibrate the static error model coefficients of three gyroscopes simultaneously, especially the higher-order coefficients, in an inertial measurement unit, an optimal 16-position method is designed. Analysis is conducted using a precision centrifuge with a counter-rotating platform, and coordinate systems are established on centrifuge. Thus, centrifuge error sources, which may affect the calibration accuracy of a gyroscope’s drift coefficients, are analyzed, corresponding to the coordinate systems established. Precise expressions for the input angular rate and the input specific forces on each axis of the three gyroscopes are derived using a homogeneous transformation method. The influence of centrifuge error on the drift coefficients is analyzed, and the calibration accuracy can be improved by compensating for the influence of centrifuge error. The 16-position calibration method is validated through simulation, which establishes that centrifuge errors such as Δθy2t, Δθy2(−Ωt), Δθx2t, Δθx2(−Ωt), and ΔΩ mainly influences the bias MF and first-order drift coefficients MI and MS, but has little impact on higher-order coefficients. The calibration process is simple and short time-consuming, and the calibration accuracy is satisfied to requirement. After compensating for the main centrifuge errors, the 16-position method will further increase the accuracy of an inertial navigation system.
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References
Ahmad, I., El Hadri, A., Benziane, L., Benallegue, A.: Globally asymptotic attitude estimation for accelerated aerial vehicles [J]. Aerosp. Sci. Technol. 84, 1175–1181 (2019)
Hu, G., Wang, W., Zhong, Y.: A new direct filtering approach to INS/GNSS integration [J]. Aerosp. Sci. Technol. 77, 755–764 (2018)
Liu, W., Gao, Y., Dong, W.: Flight Test Results of the Microgravity Active Vibration Isolation System in China's Tianzhou-1 Mission[J]. Microgravity Sci. Technol. 30(6), 995–1009 (2018a)
Liu, Z.J., Wang, L., Wang, W., Song, T.X.: A self-calibration method for non-orthogonal angles of gimbals in rotational inertial navigation system based on fiber optic gyro [J]. Trans. Inst. Meas. Control. 40(13), 3665–3674 (2018b)
Meng, Y., Wang, W., Han, H.: A visual/inertial integrated landing guidance method for UAV landing on the ship [J]. Aerosp. Sci. Technol. 85, 474–480 (2019)
Qi, J.-Y., Ren, S.-Q., Wang, C.-H.: Angular velocity test plan Design for Identifying the error model coefficients of gyro using three-Axis turntable [J]. J. Astronaut. 27(3), 565–570 (2006) (in Chinese)
Ren, S.Q., Wang, S.M.: Impacts of installation errors on the calibration accuracy of gyro accelerometer tested on centrifuge [C]// international symposium on instrumentation and measurement, sensor network and automation. IEEE. 914–918 (2014)
Shi-ming, W.A.N.G., Shun-qing, R.E.N.: Relationship between calibration accuracy of error model coefficients of accelerometer and errors of precision centrifuge [J]. J. Astronaut. 33(4), 520–526 (2012)
Silva, F.O.: Generalized error analysis of analytical coarse alignment formulations for stationary SINS [J]. Aerosp. Sci. Technol. 79, 500–505 (2018)
Silva, F.O., Hemerly, E.M., Leite, W.C.: On the error state selection for stationary SINS alignment and calibration Kalman filters - part I: estimation algorithms [J]. Aerosp. Sci. Technol. 61, 45–56 (2017)
Wang, S.M., Meng, N.: A new multi-position calibration method for gyroscope's drift coefficients on centrifuge [J]. Aerosp. Sci. Technol. 68, 104–108 (2017)
Wang, S.M., Ren, S.Q.: Impacts of centrifuge errors on calibration accuracy of error model coefficients of gyro accelerometer [J]. Mach. Tool Hydraul. (2014)
Wang, S., Ren, S.: Calibration of cross quadratic term of gyro accelerometer on centrifuge and error analysis [J]. Aerosp. Sci. Technol. 43, 30–36 (2015)
Wang, S.M., Ren, S.Q., Wang, C.H.: Calibration of gyroscope error model coefficients on precision centrifuge with counter-rotating platform [J]. J. Chin. Inertial Technol. 20, 625–630 (2012)
Wang, S.K., et al.: Development of the varying gravity rack (VGR) for the Chinese space station [J]. Microgravity Sci. Technol. 31(1), 95–107 (2019)
Wu, Q., Wu, R., Han, F., Zhang, R.: A three-stage accelerometer self-calibration technique for space-stable inertial navigation systems [J]. Sensors. 18(9), 1–16 (2018)
Xu YF, Zhang SF. Calibration for gimbaled platform inertial navigation system on centrifuge [J]. Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering, 2017: 233(1), 250-260
Xu, F.-X., Zeng, M., Su, B.-K.: Research of fix error angle for PIGA’s error models effect [J]. Aviat. Precis. Manuf. Technol. 42(2), 19–21 (2006) (in Chinese)
Yang, Y., Liang, L., Hao, W.U., et al.: Inertial platform modeling and simulation based on centrifuge test with a rotating table [J]. Aerosp. Control. 32(2), 9–69 (2014)
You, S., Gao, L., Diao, M.: Real-time path planning based on the situation space of UCAVs in a dynamic environment [J]. Microgravity Sci. Technol. 30(6), 899–910 (2018)
Yu, Z., Crassidis, J.L.: Accelerometer Bias Calibration Using Attitude and Angular Velocity Information [C]. AIAA Guidance, Navigation, and Control Conference, 1–13 (2016)
Zhang, H., Zhao, Y., Chen, Y.: New system calibration method for strapdown inertial navigation system [J]. J. Beijing Univ. Aeronaut. Astronaut. 38(4), 459–463 (2012)
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This work was funded by the Scientific Research Project of Tianjin Educational Committee (2018KJ103) and the Natural Science Foundation of Tianjin City (18JCQNJC74700).
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Wang, Sm., Chen, D. & Meng, N. Multi-Position Calibration Method of Gyroscopes in Inertial Measurement Unit Based on Centrifuge with Position Platform. Microgravity Sci. Technol. 33, 7 (2021). https://doi.org/10.1007/s12217-020-09848-2
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DOI: https://doi.org/10.1007/s12217-020-09848-2