This paper investigates the control allocation problem for attitude stabilization of an over-actuated spacecraft. A Stackelberg differential game framework is established to describe the bidirectional interactivity and decision-making mechanism between attitude control and control allocation, based on which the optimal attitude control law and the optimal control allocation strategy are designed integratedly and constitute a Stackelberg equilibrium to realize their overall stabilization and optimization. Simulation and experiment results demonstrate the effectiveness of the proposed approach.
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Ni et al. (2024) studied this question.
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