Considerations about pure proportional navigation

The problem of controlling an object according to a proportional navigation guidance scheme has been widely studied. One of the major results of these studies is the preponderance of pure proportional navigation guidance laws (PPN) over true proportional navigation (TPN) ones. Unfortunately PPN is harder to study because of the difficulty to find a simple closed form solution to the differential equations defining the trajectory. The authors propose here a new approach of PPN. Simulations have then been performed in order to validate the theoretical approach. An extended Kalman filter (EKF) was implemented in order to estimate the kinematic parameters of the trajectory. A processing using probabilistic and fuzzy modelling was then used to estimate the destination point (DP) of the object