Abstract
The method is described in the article and an algorithm for the synthesis of the optimal control law for the reorientation of the nanosatellite using the procedure of analytical construction of optimal regulators is proposed. The algorithm provides a search of control for reorienting the nanosatellite along a phase trajectory close to the nominal one, subject to restrictions on the magnitude of the control torque. The nominal trajectory is divided into local sections, on each of which the required control is calculated.
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