A closed-loop control allocation method for satellite precision pointing

A closed-loop method is presented to solve the control allocation problem for the satellite precision pointing task. The feedback strategy is used to eliminate the allocation error caused by the unavoidable uncertainty of the control effectiveness matrix. Based on the cascaded generalized inverse method, the closed-loop control allocation system is established. Then, a necessary and sufficient condition for the stability of this system is presented, and the theoretical analysis of the steady-state error and a numerical example reveal that the steady-state error of the closed-loop system is zero. Finally, simulation results verify the feasibility and effectiveness of the closed-loop control allocation method, and also show that the closed-loop control allocation method leads to remarkable improvements in the quality of precision pointing.