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变速度条件下控制攻击时间和角度的协同制导律
引用本文:程志强,李涛,庞云福,朱纪洪. 变速度条件下控制攻击时间和角度的协同制导律[J]. 控制与决策, 2024, 39(5): 1537-1542
作者姓名:程志强  李涛  庞云福  朱纪洪
作者单位:复杂舰船系统仿真重点实验室,北京 100161;清华大学 精密仪器系,北京 100084
摘    要:控制攻击时间和角度的协同制导律可提高多弹突防能力,发挥最大打击效能,是当前的研究热点.已有的协同制导律多数假设导弹飞行速度不发生改变,未考虑速度变化对到达时间估计带来的影响.鉴于此,采用贝塞尔曲线作为打击轨迹,根据导弹速度包络和贝塞尔轨迹长度对导弹到达时间进行估计.在证明贝塞尔曲线长度随初始航迹角增加而单调增加的基础上,通过调整虚拟初始航迹角来增加或缩短预期到达时间,进而实现弹群预期到达时间趋于一致.在假设缩短轨迹长度可缩短到达时间的基础上,证明了该协同算法可在飞行过程中控制弹群形成一致到达时间.通过仿真实验,验证了所提出算法可在保证各弹攻击角度精确的前提下实现较高的时间协同精度.

关 键 词:协同制导  贝塞尔曲线  变速度  攻击时间  攻击角度  多弹协同

Cooperative guidance law for impact time and angle control with variable speed
CHENG Zhi-qiang,LI Tao,PANG Yun-fu,ZHU Ji-hong. Cooperative guidance law for impact time and angle control with variable speed[J]. Control and Decision, 2024, 39(5): 1537-1542
Authors:CHENG Zhi-qiang  LI Tao  PANG Yun-fu  ZHU Ji-hong
Affiliation:Key Laboratory of Complex Ship System Simulation,Beijing 100161,China; Department of Precision Instrument,Tsinghua University,Beijing 100084,China
Abstract:The cooperative guidance law that controls impact time and angle can improve the penetration capability and maximize the strike effectiveness, which is a current research hotspot. Most of the existing cooperative guidance laws assume that the missile''s flight speed does not change, and do not take the impact of variable speed on the arrival time estimation into consideration. In this paper, the Bezier curve is used as the attack trajectory, and the arrival time is estimated according to the missile velocity profile and the Bezier curve length. After proving the length of the Bezier curve increases monotonically with the initial flight-path angle, we adjust the arrival time by virtual initial flight-path angle to achieve cooperative attack, and the expected arrival time will be consistent. On the basis of assuming that the shorening of the curve length would shorten the arrival time, we prove that the proposed algorithm can reach the agreement of the arrival time. Through the simulation, it is verified that the algorithm can achieve high time arrival accuracy while ensuring the accuracy of the attack angle.
Keywords:cooperative guidance;Bezier curve;variable speed;impact time;impact angle;missile coordination
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