大落角机动目标逆轨拦截最优滑模制导律设计

doi:10.12305/j.issn.1001-506X.2022.09.23

摘要/Abstract

摘要：

针对阵地防空中大落角机动目标较难拦截的问题, 首先采用最优控制理论设计了具有攻击角约束的最优制导律, 为提高最优制导律的鲁棒性，结合变结构控制理论设计了带攻击角约束的最优滑模制导律。考虑到目标弹道倾角通常难以测量的问题, 采用扩张状态观测器对目标弹道倾角进行估计。基于李雅普诺夫稳定性理论对最优滑模制导律进行稳定性分析, 设计了能保证系统稳定的参数变化函数。仿真结果表明, 最优滑模制导律能以期望的攻击角和较小的脱靶量命中目标, 制导过程中指令变化较为平稳, 对目标的加速度机动具有较强的鲁棒性。

关键词: 逆轨拦截, 最优滑模制导律, 扩张状态观测器, 攻击角度约束

Abstract:

Aiming at the problem that it is difficult to intercept maneuvering targets with large angles of fall in air defense, the optimal control theory is used to design an optimal guidance law with attack angle constraints, and combined with variable structure control theory, an optimal sliding mode guidance law with attack angle constraints is designed. Considering that the target trajectory inclination is usually difficult to measure, the extended states observer is used to estimate the target trajectory inclination. Based on the Lyapunov stability theory, the optimal sliding mode guidance law is analyzed, and the parameter change function that can ensure the stability of the system is designed. The simulation results show that when the target is maneuvering with acceleration, the optimal sliding mode guidance law can hit the target with the expected angle of attack and a small miss distance. The command changes during the guidance process are relatively stable, and it has strong robustness to the acceleration maneuver of the target.

Key words: head-on interception, optimal sliding mode guidance law, extended states observer (ESO), impact angle constraint

中图分类号:

TJ765.3

周梦平, 孟秀云, 刘俊辉. 大落角机动目标逆轨拦截最优滑模制导律设计[J]. 系统工程与电子技术, 2022, 44(9): 2886-2893.

Mengping ZHOU, Xiuyun MENG, Junhui LIU. Design of optimal sliding mode guidance law for head-on interception of maneuvering targets with large angle of fall[J]. Systems Engineering and Electronics, 2022, 44(9): 2886-2893.

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制导律	脱靶量/m	弹道倾角/(°)
最优滑模制导律	0.209 1	69.619 3
滑模制导律	0.332 4	69.617 1
最优制导律	0.933 7	69.760 7

制导律	脱靶量/m	偏差角/(°)
最优滑模制导律	0.171 0	0.130 9
滑模制导律	0.499 1	0.108 2
最优制导律	1.860 7	-0.959 6

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