Revisiting the Nonlinear Problem of the Passage of a Three-Rotor Gyrostat through a Given Angular Position in Space under Uncontrollable External Disturbances

Abstract

A solution is found for the nonlinear problem of the passage of a three-rotor gyrostat through a given angular position in space under uncontrollable external disturbances. The equivalent linearization method for nonlinear controlled systems is utilized, making it possible to reduce the solution of the problem to the solution of a linear antagonistic game problem with a nonfixed end time. An estimate is obtained for permissible disturbance levels depending on given constraints on control moments.