Optimal control of a rocket projectile according to the "minimum force" criterion

Abstract

The article solves the problem of optimal control of a rocket projectile by its delivery from a given initial position to a given final position, taking into account the air resistance force. The motion of the projectile is described by the vector differential equation of I.V. Meshchersky. The control quality criterion is taken in the form of "minimum force", the minimization of which ensures minimal overloads for the projectile. Three types of the norm of the control force vector are considered. For each of them, an optimal control is obtained that solves the task. The analysis of the results of the numerical experiment is carried out, confirming the general theoretical provisions.