Intercepting a Superior Missile: Trajectory Optimization Approach to a Pursuit-Evasion Game

Abstract

This paper handles the problem of intercepting a superior missile using a formation of lower-capabilities pursuers. The problem is formulated as multi-player differential game and solved using optimal control techniques. This approach makes use of the Apollonius circles as a final path constraint of the problem in order to achieve the capturing conditions. Additionally, a dimensionality reduction technique based on differential flatness property of the formation is investigated.