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To ensure tasks can be completed after a free-swinging joint failure occurs,a multi-stage regulation strategy of space manipulators is proposed.Considering all terms of the dynamics equation,an evaluation model of the regulation ability (EMRA) of active joints over the fault joint is established based on the fuzzy entropy.And then a multi-stage regulation strategy based on the EMRA is designed to regulate the fault joint.The strategy divides the regulation process into several stages,and select a certain active joint to regulative the fault joint in every stage.With this multi-stage regulation strategy,the fault joint can be regulated to the desired angle without huge torque on regulative joints.The simulation is carried out with a 7-DOF space manipulator,verifying the correctness and effectiveness of the multi-stage regulation strategy.The strategy has three advantages: Coriolis and centrifugal terms are both considered for the first time in selecting the regulative joint,making the selection result more in line with the actual regulation process;The influence of the model uncertainty is eliminated in establishing the EMRA,making the evaluation of regulative ability more precise;The fault joint is successfully regulated to the desired angle without huge torque on regulative joints.