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송성호(Soongho Song),하인중(Injoong Ha) 대한전자공학회 1992 대한전자공학회 학술대회 Vol.1992 No.10
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.