3D differential game guidance

Three-dimensional guidance in the neighborhood of collision course, based on a terminal differential game, renders ellipsoidal control sets. As a result, a saddle-point contains singularities. This paper (a) generalizes previous results on linear dynamics with terminal cost and ellipsoidal control sets and (b) applies the results to the above guidance problem to include general missile and target transfer functions. We further demonstrate the construction of the isocost surfaces (tubes). (C) 2010 Elsevier Inc. All rights reserved.