This thesis has dealt with the effectiveness of evasive maneuvers and the optimal interception laws against the maneuvers. The weave maneuver, the vertical-s maneuver and the random telegraph maneuver which have periodicity in command acceleration have been considered as the evasive strategy. As a key parameter for performance analysis of the evasive maneuvers, miss distance is mainly investigated from both deterministic and stochastic point of view. This analysis has been performed under various maneuver frequency, time-lag in missile and interceptor dynamics, and navigation constants. To analyze randomness of the maneuvers such as random initiation time and a random number of sign change in acceleration, the shaping filter and the adjoint method have been used.
Advanced guidance algorithms using the optimal control theory have been developed because the conventional proportional navigation guidance(PNG) is not sufficient to cope with highly maneuvering missiles adopting the various evasive maneuvers. The term `optimal` can be interpreted as the minimum energy consumption for interception and the smallest final miss distance. Using the concept, it is possible to construct the optimal guidance law against the weave maneuver and the vertical-s maneuver introduced as representative evasive strategy. The derivation and the investigation of the advanced guidance laws against the maneuvers have been dealt with in this thesis.