Differential game analysis using projections of the playable set

The authors show that one need not sacrifice dimensional realism in order to apply game-theoretic methods based on the playability maximum principle. For systems of higher dimension a playable set projection estimation method is presented which provides an efficient procedure for approximating game barrier solutions for many dynamical systems. The estimation method is applied here to a missile-avoidance problem, using zero-, first-, and second-order dynamic response assumptions for the projectile. The results are compared to previously published full three-dimensional analyses of the problem. The findings from this study suggest that the projection estimation method has a wide range of applications