Abstract
Consideration was given to the problem of controlling the motion of an object subject to random disturbances. It was assumed that the bearings to beacons with certain coordinates are open to measurements. The bearing angles are nonlinear functions of the current coordinates. Therefore, the present paper suggested a modified method of pseudomeasurements proving bias-free estimates of the current object coordinates using the algorithm of conditionallyoptimal filtering. These estimates underlie the object control algorithm demonstrating the possibility of high-quality tracing of the given motion trajectory.
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Peach, N., Bearings-only Tracking Using a Set of Range-parameterized Extended Kalman Filters, IEE Proc. Control Theory Appl., 1995, vol. 142, no. 1, pp. 73–80.
Bishop, A.N., Fidan, B., Anderson, B.D.O., et al., Optimality Analysis of Sensor-Target Localization Geometries, Automatica, 2010, vol. 46, pp. 479–492.
Lin, X., Kirubarajan, T., Bar-Shalom, Y., and Maskell, S., Comparison of EKF, Pseudomeasurement and Particle Filters for a Bearing-only Target Tracking Problem, in Proc. SPIE—Int. Soc. Optic. Eng., 2002, vol. 4728, pp. 240–250.
Aidala, V.J. and Nardone, S.C., Biased Estimation Properties of the Pseudolinear Tracking Filter, IEEE Trans. Aerospace Electron. Syst., 1982, vol. 18, no. 4, pp. 432–441.
Miller, B.M. and Pankov, A.R., Teoriya sluchainykh protsessov (Theory of Random Processes), Moscow: Fizmatlit, 2002.
Pugachev, V.S., Teoriya veroyatnostei i matematicheskaya statistika (Probability Theory and Mathematical Statistics), Moscow: Nauka, 1979.
Osborne, R.W. and Bar-Shalom, Y., Statistical Efficiency of Composite Position Measurements from Passive Sensors, IEEE Trans. Aerospace Electron. Syst., 2013, vol. 49, no. 4, pp. 2799–2806.
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Original Russian Text © A.B. Miller, 2015, published in Avtomatika i Telemekhanika, 2015, No. 6, pp. 91–111.
This paper was recommended for publication by A.V. Nazin, a member of the Editorial Board
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Miller, A.B. Developing algorithms of object motion control on the basis of Kalman filtering of bearing-only measurements. Autom Remote Control 76, 1018–1035 (2015). https://doi.org/10.1134/S0005117915060065
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DOI: https://doi.org/10.1134/S0005117915060065