Path Coordinates in a 3D Path Following Problem

Abstract

Two approaches to 3D path coordinates used when solving a path following problem for aerial vehicles are proposed. The first approach lies in reducing the problem to a two-dimensional case by projection. The second approach is based on introducing an adaptive frame at the target point. The choice of the adaptive frame determines the complexity of the algorithm of the control synthesis. It is shown that the parallel transport frame, or the Bishop frame, is most convenient.