The possibility of controlling the motion of a solar sail in a vicinity of a collinear libration point of the Sun–Earth system is investigated. An approach is proposed to constructing laws for controlling the orbital motion of a solar sail in the vicinity of a collinear libration point using nonlinear links of “output signal limitation” type. The approach is based on the use of a stable invariant manifold and elements of the theory of automatic regulation. It allows controllers to be constructed for the task of solar-sail keeping near the libration point. The control is implemented in two cases: changing the orientation of the sail or changing its reflectivity. Numerical examples with the solar sail model from the IKAROS project (2010) are considered.
D. V. Shymanchuk (Wed,) studied this question.