A Novel Approach for Estimating the Initial Alignment of INS based on the Kalman Filter and an Estimator with Unknown Input

Document Type : Dynamics, Vibrations, and Control

Authors

1 Department of Electrical and Computer Engineering, K. N T University of Technology

2 imam hossein university

Abstract

Accurate determination of the initial alignment for an inertial navigation system (INS), plays an important role in the accuracy of the navigation system, because inertial navigation is a blind navigation and is highly dependent on the accuracy of the initial estimation conditions. This paper presents a new method to increase accuracy and convergence speed of the initial alignment in an inertial navigation system. This new method includes two steps to estimate the initial alignment. These steps combine the Kalman method and a filter to estimate the states of a system with an uncertain input. In the first step, the estimations of horizontal misalignment angles are obtained by the Kalman filter. In the second step, the estimation which is produced by the Kalman filter, is used as an input to design an equivalent system for the INS. Finally, a filter is used to estimate the states of a system with an unknown input for the estimation of the azimuth alignment angle. Simulations show that this method not only increases the speed of estimation, but it also produces noticeable accuracy.

Keywords

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References

 [1]
Rogers, R. M. "Applied mathematics in integrated navigation systems", American Institute of Aeronautics and Astronautics, 2007.##
[2]
Titterton, D., Weston, J. L., and Weston, J. "Strapdown inertial navigation technology", IET, vol. 17, 2004.##
[3]
El-Sheimy, N., Nassar, S., and Noureldin, A. "Wavelet de-noising for IMU alignment", IEEE Aerospace and Electronic Systems Magazine, pp. 32-39, 2004.##
[4]
Kalman, R. E. "A new approach to linear filtering and prediction theory", Trans. ASME, J. Basic Eng,pp. 95-108, 1961.##
[5]
Jiancheng, F., and Sheng, Y. "Study on innovation adaptive EKF for in-flight alignment of airborne POS", IEEE Transactions on Instrumentation and Measurement, vol. 60, no. 4, pp. 1378-1388, 2011.##
[6]
Park, J. G., Lee, J. G., and Park, C. G. "SDINS/GPS in-flight alignment using GPS carrier phase rate", GPS Solutions, vol. 8, no. 2, pp. 74-81, 2004.##
[7]
Han, S., and Wang, J. "A novel initial alignment scheme for low-cost INS aided by GPS for land vehicle applications", The Journal of Navigation, vol. 63, no. 4, pp. 663-680, 2010.##
[8]
Zhang, Y., Luo, L., Fang, T., Li, N., and Wang, G. "An improved coarse alignment algorithm for odometer-aided SINS based on the optimization design method", Sensors, vol. 18, no. 1, p. 195, 2018.##
[9]
Gu, D., El-Sheimy, N., Hassan, T., and Syed, Z. "Coarse alignment for marine SINS using gravity in the inertial frame as a reference", In Proceedings of IEEE/ION PLANS, Monterey, California, USA, 2008.##
[10]
Silson, P. M. "Coarse alignment of a ship's strapdown inertial attitude reference system using velocity loci", IEEE Transactions on Instrumentation and Measurement, vol. 60, no. 6, pp. 1930-1941, 2011.##
[11]
Taizhong, K., Jiancheng, F., and Wei, W. "Quaternion-optimization-based in-flight alignment approach for airborne POS", IEEE Transactions on Instrumentation and Measurement, vol. 61, no. 11, pp. 2916-2923, 2012.##
[12]
Li, J., Xu, J., Chang, L., and Zha, F. "An improved optimal method for initial alignment", The Journal of Navigation, vol. 67, no. 4, pp. 727-763, 2014.##
[13]
Wu, Y., and Pan, X. "Velocity/position integration formula part I: Application to in-flight coarse alignment", IEEE Transactions on Aerospace and Electronic Systems, vol. 49, no. 2, pp. 1006-1023, 2013.##
[14]
Chang, L., Li, J., and Chen, S. "Initial alignment by attitude estimation for strapdown inertial navigation systems", IEEE Transactions on Instrumentation and Measurement, vol. 64, no. 3, pp. 784-794, 2014.##
[15]
Li, J., Song, N., Yang, G., and Jiang, R. "Fuzzy adaptive strong tracking scaled unscented Kalman filter for initial alignment of large misalignment angles", Review of Scientific Instruments, vol. 87, no. 7, p. 075118, 2016.##
[16]
Li, W., Wu, W., Wang, J., and Lu, L. "A fast SINS initial alignment scheme for underwater vehicle applications", The Journal of Navigation, vol. 66, no. 2, pp. 181-198, 2013.##
[17]
Chuanbin, Z., Weifeng, T., and Zhihua, J. "A novel method improving the alignment accuracy of a strapdown inertial navigation system on a stationary base", Measurement Science and Technology, vol. 15, no. 4, pp. 765-769, 2004.##
[18]
Wang, X. "Fast alignment and calibration algorithms for inertial navigation system", Aerospace Science and Technology, vol. 13, no. 4, pp. 204-209, 2009.##
[19]
Du, T., Guo, L., and Yang, J. "A fast initial alignment for SINS based on disturbance observer and Kalman filter", Transactions of the Institute of Measurement and Control, vol. 38, no. 10, pp. 1261-1269, 2016.##
[20]
Huang, Y., Zhang, Y., and Wang, X. "Kalman-filtering-based in-motion coarse alignment for odometer-aided SINS", IEEE Transactions on instrumentation and measurement, vol. 66, no. 12, pp. 3364-3377, 2017.##
[21]
Hou, M., and Patton, R. J. "Optimal filtering for systems with unknown inputs", IEEE transactions on Automatic Control,vol. 43, no. 3, pp. 445-449, 1998.##
[22]
Cheng, Y., Ye, H., Wang, Y., and Zhou, D. "Unbiased minimum-variance state estimation for linear systems with unknown input", Automatica,vol. 45, no. 2, pp. 485-491, 2009.##
[23]
Yong, S. Z., Zhu, M., and Frazzoli, E. "A unified filter for simultaneous input and state estimation of linear discrete-time stochastic systems", Automatica,vol. 63, pp. 321-329, 2016.##
[24]
NASH, JR, R., D'APPOLITO, J., and ROY, K. "Error analysis of hybrid aircraft inertial navigation systems", In Guidance and Control Conference, 1972.##
[25]
Cheng, G., Cao, S., Guo, L., and Chen, W. "Initial alignment of Inertial Navigation System based on a predictive iterated Kalman filter", In 37th Chinese Control Conference (CCC), Wuhan, China, 2018.##
[26]
Yang, D., Xu, X., Zhang, T., Sun, J., and Yao, Y. "A fast alignment method for SINS with large misalignment angles based on ADRC", in Integrated Communications, Navigation and Surveillance Conference (ICNS), Nanjing, China, 2017.##
[27]
Chen, Y., Li, W., Yang, H., and Xia, T. "Research on the Compensation Strategy of the Initial Alignment of the SINS Based on the Dynamic Model of the Shearer", IEEE Access, vol. 7, pp. 36736-36747, 2019.##
[28]
Xu, X., Lu, J., and Zhang, T. "A Fast-Initial Alignment Method With Angular Rate Aiding Based on Robust Kalman Filter", IEEE Access, vol. 7, pp. 51369-51378, 2019.##

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History

  • Receive Date: 18 January 2020
  • Revise Date: 21 June 2020
  • Accept Date: 23 May 2021
  • Publish Date: 21 April 2021

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