针对运动目标的可观性增强非线性最优制导律

doi:10.7527/S1000-6893.2023.29750

Abstract

Abstract:

This paper proposes a nonlinear observability-enhancement optimal guidance law for moving targets of the missiles with strapdown seekers. Firstly， a nonlinear relative motion model between the missile and the moving target is constructed based on a virtual relative coordinate system with its origin fixed at the target， so that the linearization process can be avoided under the condition of small-angle assumption. Secondly， the integral of the LOS rate is leveraged as the measure of target observability based on the Cramer-Rao lower bound theory. The performance index to be optimized is designed by considering target observability， guidance accuracy and energy consumption. In addition， the dependence on the time-to-go is removed by utilizing the relative range as the independent variable. The analytical solution for the guidance law is derived by using calculus of variation. The simulation results show that the proposed guidance law can intercept moving targets using bearing-only measurements. Compared with the observability-enhancement optimal guidance laws based on the linearized model， the proposed guidance law can enhance the system observability more significantly， which results in a smaller value of the estimation error of guidance information， faster convergence， and higher hit accuracy of the missile.

Key words: bearing-only measurement, observability, nonlinear control system, optimal guidance law, equations of motion

CLC Number:

V249.31

Ziyi WU, Shaoming HE, Yadong WANG, Hongyan LI. Nonlinear observability-enhancement optimal guidance law for moving targets[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729750-729750.

Figures/Tables 8

Fig.1

Fig.2

Table 1

Initial conditions of simulation

初始运动参数	导弹	目标
弹道倾角 $γ / (°)$	-40	0
位置坐标 $x / m$	4 143.27	8 000
位置坐标 $y / m$	4 596.27	0

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

Table 2

Observability， energy consumption and miss distance for different guidance laws

拦截匀速运动目标
制导律	系统可观性 $/ r a d$	能量消耗 $/ (m 2 ⋅ s - 3)$	脱靶量/m
制导律1	0.098	390.1	0.121
制导律2	0.117	389.7	0.093
本文设计制导律	0.220	377.0	0.067
拦截匀速圆周运动目标
制导律	系统可观性 $/ r a d$	能量消耗 $/ (m 2 ⋅ s - 3)$	脱靶量/m
制导律1	0.313	4 120.9	0.310
制导律2	0.409	4 006.3	0.182
本文设计制导律	0.452	3 778.5	0.148

Table 2

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Nonlinear observability-enhancement optimal guidance law for moving targets

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