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基于零控拦截打击的思想设计了一种新型微分几何制导律.论文首先介绍了微分几何相关知识,基于伏雷内(Frenet)坐标系分析了拦截器和目标的相对运动学关系,基于零控拦截的思想没计了一种新型微分几何制导律,并给出拦截器速度方向矢量变化的迭代计算方法.其次,结合圆形相关理论,利用李亚普诺夫稳定性定理对设计微分几何制导律的稳定性进行了详细证明推导.最后通过仿真表明,该制导律可有效拦截机动目标,相对于传统的比例导引律,没计的新型微分几何制导律制导精度高,拦截时间短,避免了末端过载快速增大的现象,降低了执行机构的要求.
A new differential geometry guidance law is designed based on the idea of zero-controlled interception strike.The dissertation firstly introduces the knowledge of differential geometry, analyzes the relative kinematics of interceptor and target based on Frenet coordinate system, The idea of interception excludes a new type of differential geometry guidance law and gives an iterative method for calculating velocity vector changes in interceptor velocity.Secondly, combining the circular correlation theory and the Lyapunov stability theorem, Finally, the simulation results show that the guidance law can effectively intercept the maneuvering target. Compared with the traditional proportional guidance law, the new differential geometry guidance law has the advantages of high guidance precision, short interception time and avoiding the end The phenomenon of rapid increase of overload reduces the requirements of the implementing agencies.