The synthesis of an orientation control system for a freeflying automated space module (ASM) with relay actuators, operating in the transportation regime with a flexible payload (ASM-L) is considered. The approach is based on the modal-physical dynamics model. Analysis of the "dynamics portrait" of the ASM structure is used to determine the functional relationship between the grasping point co-ordinates and the intensity of the elastic oscillations excited by the relay control torques. This function is a multi-extreme one. The global extremum (minimum) of this function is the objective function used for the optimal choice of the load grasping point co-ordinates. This is used to form an extremum-tuning loop that automatically adjusts the grasping point co-ordinates during the transportation regime. This scheme is found to be very effective in minimising the vibration amplitudes.
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