大气层内助推段广义标控脱靶量解析制导律

doi:10.12305/j.issn.1001-506X.2023.07.26

Abstract

Abstract:

An analytical generalized nominal miss distance guidance law suitable for multi-stage booster is proposed for the endo-atmospheric boost guidance. Firstly, the optimal nominal angle of attack curve satisfied the terminal flight-path angle and altitude constraints is given. Using the analytical solution of boost trajectory, the dynamical constraint is enforced by the arbitrary angle of attack values discretized in Chebyshev-Gauss-Legendre points. Therefore, the optimal angle of attack problem is discretized into the nonlinear programming problem and its solution can be derived by sequential quadratic programming. Then, in each guidance cycle, the generalized nominal effort miss (GNEM) is predicted analytically based on the current states. The linear quadratic optimal control is used to derive the analytical guidance correction, which can be expressed as a linear combination of the GNEM. The simulation results show that the proposed method not only performs well in providing the small guidance command, but also has high guidance accuracy and great applicability.

Key words: endo-atmosphere boost phase, guidance law for boost phase, generalized nominal effort miss (GNEM), trajectory analytical solution

CLC Number:

TN953

Shilei ZHAO, Wanchun CHEN, Liang YANG, Zhuo FENG. Analytical generalized nominal effort miss guidance law for endo-atmosphere boost phase[J]. Systems Engineering and Electronics, 2023, 45(7): 2150-2157.

Figures/Tables 8

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References 26

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制导率	算例	弹道倾角误差/(°)	高度误差/m	终端攻角/(°)
本文制导律	1	-3.85E-05	1.86E-04	0.056 5
	2	-2.25E-05	-1.87E-04	0.017 3
	3	-3.49E-06	-1.91E-05	0.002 2
	4	-6.56E-05	-1.81E-04	-0.099 4
样条曲线制导律	1	2.36E-05	-1.26E-04	-3.056 7
	2	2.83E-05	7.44E-05	-4.548 3
	3	3.71E-05	7.13E-05	-4.456 0
	4	2.41E-04	3.51E-04	-6.775 6

参数	拉偏值(3σ)/%	参数	拉偏值(3σ)/%
升力系数	10	大气密度	10
阻力系数	10	发动机总冲	3

制导律	参数	弹道倾角误差/(°)	高度误差/m	终端攻角/(°)
本文制导律	平均值	1.64E-05	-1.66E-04	0.094 8
本文制导律	标准差	7.02E-05	2.57E-04	0.763 0
样条曲线制导律	平均值	-4.96E-05	1.44E-04	-3.000 3
样条曲线制导律	标准差	3.78E-05	2.28E-04	0.980 7

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Analytical generalized nominal effort miss guidance law for endo-atmosphere boost phase

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算例	弹道倾角/(°)	高度/km	二、三级终端攻角/(°)
1	20	70	0
2	25	70	0
3	25	75	0
4	30	80	0