Abstract
The stabilization of the relative equilibrium of a satellite moving in a circular orbit, which is equipped with magnetic orientation system. It is shown that the linearized system of equations of motion belongs to a special class of linear time-varying systems, reducible to time-invariant ones. For obtained time-invariant system, controllability is analyzed, and the optimal stabilization algorithm based on the LQR method is constructed. The results of numerical simulation demonstrate the efficiency of the proposed approach.
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