Missile–Target–Defender Problem with Incomplete a Priori Information

Abstract

On the plane, the missile–target–defender problem is considered, in which a mobile target with a minimum turn radius evades from a constant speed and rectilinearly moving missile or torpedo. For the missile interception, the target uses a defending missile (mobile false target, decoy, strike UAV or AUV). The problem is complicated by the fact that at the instant of launch of the defending missile, the target knows only the bearing of the missile and its speed, while the information about the distance to the missile and its velocity vector is not available. In this work, the optimal program is constructed for the trajectory of the defending missile, which intercepts all the dangerous (from the point of view of the target) directions of possible missile motion.