Optimal Feedback Guidance for Nonlinear Missile Model with Impact Time and Angle Constraints

Abstract

This study addresses the optimal guidance for nonlinear missile model which enables missile to attack the target at the designated time and angle while integral square control efforts are minimized. This guidance is an optimal control problem and can be reduced to a two point boundary value problem (TPBVP). The optimal input is given by a function of state variables and parameters determined by solving the TPBVP. This TPBVP can be easily solved by using one of shooting methods. In the case where there is no impact angle constraint, optimal input can be obtained as in the case where both impact time and angle are designated. The validity of the proposed feedback guidance is verified by simulations.