Optimal Synthesis in the Problem of Uniaxial Stabilization for a Satellite in the Case of Phase Constraints / Aleksandrov V.V., Cheremisin V.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 6. P. 61-65 [Moscow Univ. Mech. Bulletin. Vol. 65, No 6, 2010. P. 143-146].

The optimal stabilization problem for the pitching oscillations of a satellite is considered. For the reduced system, an optimal control problem with phase constraints is formulated and a controllability domain is constructed. A necessary optimality condition (the maximum principle for the optimal control problem with phase constraints) is used to determine the optimal trajectories, the nature of interaction between a trajectory and the phase constraint boundary, and the number of boundary segments. An optimal synthesis is proposed in the constructed domain.

Key words: angular motion stabilization of a satellite, phase constraints, necessary optimality condition, optimal synthesis.