Precise Impact Angle Control Using Analytic Solution of Biased Proportional Navigation with Single Dynamic Lag

동적지연을 포함하는 편향 비례항법 유도루프의 해석 해를 이용한 정밀 충돌각 제어

This paper deals with the problem of precise impact angle control of an actual homing missile guided by biased proportional navigation (BPN). To do this, the BPN guidance loop including dynamic lag is modeled as the confluent hyper-geometric differential equation and its analytic solution is derived. Based on the solution, a systematic way to determine the bias constant is newly devised. Different from the existing BPN solution obtained by ignoring the dynamic lag, the proposed one can exactly describe the behavior missile before target interception. hence it is drastically improved the angle constrained terminal guidance performance.