The control system for stabilizing the lateral motion at landing the aerospace plane ASP onto moving ekranoplane is developed. As the disturbances character applied to ASP are being changed at different weather conditions, the system analysis and synthesis are made in a wide class of disturbances. This class may be represented by some numerical characteristics — the upper bounds of derivatives dispersions. The way for estimation of such bounds by means of current observations is proposed. The algorithm for adapting the controller in accordance with the current bounds of dispersions of the input signal. It allows to increase the accuracy and reliability of docking the ASP and ekranoplane.