Motion camouflage in three dimensions

Abstract

We formulate and analyze a three-dimensional model of motion camouflage, a stealth strategy observed in nature. The pursuer and evader trajectories are described using natural Frenet frames (or relatively parallel adapted frames), and the corresponding natural curvatures serve as controls. A high-gain feedback control law is derived. The biological plausibility of the feedback law is discussed, as is its connection to missile guidance. Simulations illustrating motion camouflage are also presented. This paper builds on recent work on motion camouflage in the planar setting