UNCLASSIFIED

In this report the application of the differential game theory to missile guidance problem is considered. Interceptor/target relative kinematics equations for a 3-D engagement are derived in state space form suitable for implementing the feedback guidance through minimisation-maximisation of the performance index. This performance index is a generalisation of that utilised by previous researchers in this field and includes, in addition to the miss-distance term, other terms involving interceptor/target relative velocity terms. This latter inclusion allows the designer to influence the engagement trajectories so as to aid both the intercept and evasion strategies. Closed form expressions are derived for the Riccati differential equations and the feedback guidance gains. A link between the differential game theory based guidance and the optimal guidance, the proportional navigation (PN) and the augmented PN (APN) guidance is established