北京航空航天大学学报 ›› 2011, Vol. 37 ›› Issue (7): 772-776.

• 论文 • 上一篇    下一篇

具侧向脉冲力制导炮弹的非线性稳定性分析

杨红伟1, 窦丽华1, 甘明刚2   

  1. 1. 北京理工大学 自动化学院, 北京 100081;
    2. 北京市自动控制系统重点实验室, 北京 100081
  • 收稿日期:2010-07-08 出版日期:2011-07-30 发布日期:2011-08-04
  • 作者简介:杨红伟(1975-),男,河南邓州人,博士生,yb0545@163.com.
  • 基金资助:

    北京市教育委员会共建项目专项资助(XK100070532)

Analysis of non-linear stability of guided projectile using lateral impulsive thrust

Yang Hongwei1, Dou Lihua1, Gan Minggan2   

  1. 1. School of Automation, Beijing Institute of Technology, Beijing 100081, China;
    2. Beijing Key Laboratory of Automatic Control System, Beijing 100081, China
  • Received:2010-07-08 Online:2011-07-30 Published:2011-08-04

摘要: 研究了制导炮弹受侧向脉冲推力作用后处于大攻角情况下的非线性运动稳定性问题.应用首次积分描述了弹丸的运动方程,得到了描述攻角余弦变化的多项式,通过对多项式的分析将弹丸角运动稳定性的问题转化为求解多项式的负根问题,最后运用霍尔维茨定理给出了弹丸非线性运动稳定的充分条件,为非线性运动条件下弹丸的飞行形态的预测、脉冲执行机构的设计等问题提供了一定的理论依据.

Abstract: The analysis of non-linear stability of guided projectile under the condition of high attack angle after lateral impulse was presented. Integral was applied to describe the equations of projectile motions, and consequently, the polynomial for cosine variation of the attack angle was obtained. By analyzing the polynomial, the issue of stability of the projectile angular motion was turned to be the one of calculating the negative roots of the polynomial.The sufficient condition for non-linear stability of the projectile motion was also presented according to the Hurwitz criterion. The result provides certain theoretical basis for both academic and practical fields for issues about predicting the flying state of a projectile under non-linear motion condition, and for those on designing impulsive executive mechanism.

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