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一种基于李群理论的三维耦合最优制导律 被引量:1

Three-Dimensional Coupling Optimal Guidance Law Based on Lie Group Theory
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摘要 倾斜转弯(BTT)导弹通道间存在的控制耦合作用使得常规的双平面解耦制导律设计方法难以满足制导律设计要求。本文针对BTT导弹的三维耦合制导律设计问题,将李群理论引入到制导律设计中,将导弹速度向量中的旋转角速度用弹目视线俯仰角速度和弹目视线方位角速度来表示,同时考虑导弹制导过程中转弯尽量小以节省能量,给出一种考虑耦合项的最优三维制导律算法。通过仿真实验验证了算法的有效性。 Due to the existence of control coupling effect between channels for bank to turn(BTT)missile,the conventional two planar decoupling guidance law design approach is hard to satisfy the design requirement.In this paper,aiming at the three dimensional coupling guidance law design problem for BTT missile,Lie group theory is introduced into the coupling guidance design for air-to-air missile,where the rotational angular velocity of missile velocity vector can be expressed by the pitch angular velocity and the azimuth velocity of the line of sight between missile and target.At the meantime,considering to diminishing turning for missile during the guidance process to save energy,an optimal three-dimensional coupling guidance law is designed for BTT missile.Simulation results show that the presented guidance law is effective.
作者 涂喜梅 周少波 张金鹏 刘勇 Tu Ximei;Zhou Shaobo;Zhang Jinpeng;Liu Yong(Shanghai Aircraft Design and Research Institute,Shanghai 201210,China;School of Aerospace Engineering,Xiamen University,Xiamen 361000,China;China Airborne Missile Academy,Luoyang 471009,China;Aviation Key Laboratory of Science and Technology on Guided Weapons,Luoyang 471009,China;The Fifth Electronics Research Institute of the Ministry of Industry and Information Technology,Guangzhou 510610,China)
出处 《航空兵器》 CSCD 北大核心 2020年第6期55-60,共6页 Aero Weaponry
基金 航空科学基金项目(20160168001)。
关键词 空空导弹 李群理论 最优制导 三维耦合制导 air-to-air missile Lie group theory optimal guidance three-dimensional coupling guidance law
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