基于最优样条节点的导弹主动段弹道估计方法

doi:10.7527/S1000-6893.2015.0049

Abstract

Abstract:

Fitting the missile trajectory in boost phase and estimate its ballistic parameters is an important task of the space-based infrared system (SBIRS). Firstly, the cubic spline function is applied to describing the missile trajectory in boost phase, and the motion model and measurement model of the missile trajectory in boost phase are established. Secondly, by using the method of maximum likelihood, the estimation problem of missile trajectory is transformed into the optimal estimation problems of spline coefficients and the distribution of spline nodes under the criterion of nonlinear least squares. Finally, the above-memtioned estimation problems are separated by projection theorem, and the method for optimally determining the number of spline nodes is proposed by iterative approximation. The simulation and experimental results show that the proposed method not only has high fitting precision for missile trajectory in boost phase, but also reduces the number of parameters to be estimated, and simplifies the solving process. The proposed method can better solve the estimation problem of missile trajectory in boost phase without prior information.

Key words: trajectory parameter estimation, spline function, least squares, maximum likelihood estimation, space-based infrared system

CLC Number:

V557
TP274

ZHANG Tao, FAN Shiwei, XUE Yonghong, DING Yonghe. Trajectory estimation method of missile in boost phase using optimal knots spline[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(9): 3027-3033.

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Trajectory estimation method of missile in boost phase using optimal knots spline

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