Optimal Control Framework for Impulsive Missile Interception Guidance

An optimal control framework is presented that provides an endgame guidance scheme for the exo-atmospheric interception of hostile intercontinental missiles. Therein, a receding horizon optimization strategy is deployed, using a multiple shooting discretization of the dynamic system. The control parameterization is based on a specific endgame heuristic, so that acceleration commands can be approximated by a tangens hyperbolicus formulation to emulate the discrete structure of impulsive thruster acceleration commands. As a result, the number of optimization variables is significantly reduced, potentially enabling closed-loop control schemes. As a closed-loop algorithm, a modified nonlinear model predictive control approach is proposed. Numerical investigations are presented that address the endgame problem in the simplified environment of an interception plane.

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