Closed-Form Solution of Pure Proportional Navigation with Tracker-in-Loop

摘要

The analytical closed form solution of the equations of motion of a missile tracking a non-maneuvering target using the Pure Proportional Navigation (PPN) law based on an estimate of line-of-sight (LOS) rate is presented. The solution is obtained in the form of a uniformly convergent series of functions in polar coordinates for navigation constants N >= 2. The effect of error bounds of the estimator on the closed loop solution is presented, in line with the approach of Becker [1].