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Optimal synthesis in the problem of uniaxial stabilization for a satellite in the case of phase constraints

V. V. Aleksandrov, V. V. Cheremisin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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 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.

UDC: 51-72

Received: 30.10.2009

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