基于Bézier曲线的碰撞角约束多项式制导方法
投稿时间:2021-04-27  修订日期:2021-07-14  点此下载全文
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作者单位邮编
成忠涛 华中科技大学 430074
李聚峰* 江南工业集团有限公司 411207
彭高祥 华中科技大学 
刘磊 华中科技大学 
王永骥 华中科技大学 
基金项目:国家自然科学基金(61903146、61873319、61803162)
中文摘要:本文研究了一种碰撞角控制制导律,将制导指令设计问题转化为二次Bézier曲线形式的航迹角设计问题。二次Bézier曲线有两个端点和一个控制点,初始和最终期望的航迹角作为该曲线的两个端点;另外,控制点的不同选择将导致碰撞角的不同。本文首先提出了一种匀速制导律;然后考虑速度的变化,提出了变速情况下的制导律,并对提出的制导律进行了剩余时间估计,进而将该制导律推广到更为实际的情况中。通过不同情况下的仿真,验证了所提出的制导律的有效性。
中文关键词:Bézier曲线  航迹角  碰撞角  制导律  剩余时间估计
 
Bézier Curve based Polynomial Guidance with Constrained Impact Angle
Abstract:The work presented in this paper investigates impact angle control guidance law. The problem of guidance command design is transformed into the design of the flight path angle, which is proposed in a quadric Bézier curve form. This curve has two endpoints and one control point. The initial and final desired flight path angles act as two endpoints for the quadric Bézier curve. In addition, different selection of the control point leads to different impact angles. First, a guidance law is proposed with constant velocity. Then, a guidance law is proposed by considering a varying velocity, the time-to-go estimation under this strategy is obtained, and the strategy is extended to a more practical situation. Different simulations are carried out to verify the performance of the proposed guidance law.
keywords:Bézier curve  flight path angle  impact angle  guidance law  time-to-go estimation
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