Analytic Optimization of Implemented Discrete Time for Kalman Filter during Stationary North-Finding

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Abstract:

According to the mechanization of the Kalman filter, the processing load of implementing a Kalman filter can be different under various system propagation rates and measurement update rates. With the definitions of uniform and complete observability, uniform and complete controllability, an analytic method of evaluating the effects of various system propagation rates and measurement update rates on the azimuth error during stationary north-finding was proposed. Variance calculations and experimental tests were presented to demonstrate the applicability of the proposed analytic method and let analysts maintain good physical insight into the estimation behavior of the final azimuth error. In conclusion, the proposed analytic method will help analysts optimize system propagation rate and measurement update rate to make the computational load fall within the available processing capacity.

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857-861

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February 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] A.A. Gaho, and M.S. Qureshi, The generic investigation of initial alignment of SINS, Journal of Space Technology, Vol. 1, No. 1 (2012), pp.11-16.

Google Scholar

[2] P.D. Groves: Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems (Artech House, USA 2008).

Google Scholar

[3] R.M. Rogers: Applied Mathematics in Integrated Navigation Systems, 3rd ed. (AIAA, Inc., USA 2007).

Google Scholar

[4] H. Yu, W. Wu, J. Cao, C. Zhou, and Q. Sheng, Adaptive filtering algorithm to rapid alignment for single-axis constant rate biased RLG AHRS on rocking base, Journal of Chinese Inertial Technology, Vol. 21, No. 2 (2013), pp.169-173. (In Chinese).

Google Scholar

[5] M.S. Grewal, and A.P. Andrews, Applications of Kalman filtering in aerospace 1960 to the present, IEEE Control Systems, Vol. 30, No. 3 (2010), pp.69-78.

DOI: 10.1109/mcs.2010.936465

Google Scholar

[6] M.S. Grewal, and A.P. Andrews: Kalman Filtering: Theory and Practice, 2nd ed. (Wiley Press, USA 2000).

Google Scholar

[7] A.R. Liu, Stochastic observability, reconstructibility, controllability, and reachability, PhD thesis, University of California, San Diego, USA, (2011).

Google Scholar

[8] K. Balachandran, J.H. Kim, and S. Karthikeyan, Complete controllability of stochastic integrodifferential systems, Dynamic Systems and Applications, No. 17 (2008), pp.43-52.

Google Scholar

[9] H. Yu, W. Wu, M. Wu, G. Feng, and M. Hao, Systematic angle random walk estimation of the constant rate biased ring laser gyro, Sensors, Vol. 13, No. 3 (2013), pp.2750-2762.

DOI: 10.3390/s130302750

Google Scholar