Control strategies in a planar pursuit evasion game with energy constraints

Abstract

In this paper a coplanar pursuit evasion game in the atmosphere opposing a pursuer employing thrust amplitude and angle of attack as control variables, to a maneuvering evader flying with constant velocity is considered. The aerodynamic forces acting on the pursuer are explicitly modelled as functions of the angle of attack. The pursuer and evader strategies in the boundary of the capture set are determined for the case of a circular target set. Singular arcs both for the pursuer and evader are shown to exist.