Abstract

  When using the prediction in the control of the rotational motion is necessary to construct two smooth trajectories passing through the previously measured its nodal points. As a piecewise polynomial curve that provides the desired smoothness, consider interpolating cubic splines, which are between nodes represent a cubic parabola, continuously connecting the nodes with the smoothness of degree 2. In imposing additional boundary conditions, these splines minimize its total curvature.

Keywords: Interpolation splines, management tasks, prediction algorithms, kinematic characteristics, Hermit splines