리아프노프 방법을 이용한 3차원 비례항법의 성능 분석

The 3-dimensional PPNG (Pure proportional navigation guidance) law was proposed about forty years ago, but the satisfactory analysis of its performance has not been presented since then. In this note, We prove under some reasonable assumptions that the missile guided according to this 3-dimensional PPNG law can always intercept a ramdomly maneuvering target if (1) the target acceleration varies with a certain round, (2) the navigation constant is selected large and (3) the initial heading error is small. We introduce a Lyapunov-like method that proves to be a very powerful tool in obtaining our results.