Velocity To Be Gained Guidance for a Generic 2D Course Correcting Fuze

Abstract

A guidance strategy for generic 2D course correcting fuzes is developed using a perturbation based trajectory prediction method together with a velocity to be gained (VTG) control formulation. The open loop dynamics for the VTG that results in the atmospheric case is a slight modification of the vacuum dynamics and similar approaches for control can be applied. We formulate and solve a time varying linear quadratic (LQ) optimal control problem to obtain a guidance strategy that makes efficient use of controls over the flight. The resulting guidance strategy requires only low complexity updates in-flight. Using simulations of a standard 155mm artillery shell with canard control in varying firing scenarios it is shown that excellent dispersion reduction can be obtained with only modest requirements on control authority.