An algorithm of high-precision adaptive adjustment (control) of spatial-angular parameters for the transmitting antenna of a satellite on a geostationary orbit is proposed. The goal of adjustment presumes elevation in the intensity of the antenna’s electromagnetic signal in the set of assigned sites of the Earth’s surface (signal receiving stations). The idea of the analytical solution proposed implies identification of the (fixed valence) covariant tensors of distant intensity of antenna’s electromagnetic field depending on the current multi-factor orbital experiments, and on this basis - optimization of the amendments (aligning) the orientation of the directional pattern and the adaptive adjustment of the geometrical characteristics of the antenna.

adaptive control, regression-tensor modeling, quadratic optimization.