Intercepting Higher-Speed Targets Using Generalized Relative Biased Proportional Navigation

拦截高速运动目标广义相对偏置比例制导律

¹ School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China
² Shaanxi Key Laboratory of Aerospace Flight Vehicle Technology, Xi’an 710072, China

Received: 11 July 2018

Abstract

To intercept a higher-speed target in the terminal guidance phase, this paper proposes a generalized relative biased proportional navigation (BPN) law. In order to enlarge the capture domain of the classical proportional navigation (PN) law and make full use of the maneuverability of a missile, the paper designs time-varying navigation coefficients; thus the modified PN guidance law integrates the advantages of the PN guidance law with those of the retro-PN guidance law. In order to intercept high-speed targets with impact angle constraints, the relative BPN law is introduced, and the impact angle is achieved by controlling the relative flight-path angle. In order to improve the performance of the guidance law for intercepting higher-speed maneuvering targets, some compensation measures are designed for guidance commands. Extensive simulations are conducted to verify the design features of the proportional navigation law.

摘要

针对经典比例导引法在末制导阶段拦截高速运动目标时捕获域较小、无法有效利用导弹机动能力及难以实现碰撞角约束等问题，提出了一种广义相对偏置比例制导律。为扩大经典比例导引律的捕获域及提升其对导弹的机动利用能力，设计了一个时变导引系数，使所提制导方案可综合比例及反比例2种导引律的优势。为实现对高速运动目标的定向打击，引入了相对偏置比例，通过控制相对飞行轨迹角以实现对碰撞角的约束。为提升制导方案在拦截高速机动目标时的性能，在制导指令中对目标机动影响进行了补偿。数值仿真结果验证了该制导方案相比于经典的比例导引法具有更大的捕获域和过载利用度，以及较强的碰撞角约束能力。