The invention relates to a method for controlling an index time-varying slide mode of
flexible spacecraft characteristic shaft attitude maneuver, and belongs to the technical field of
spacecraft control. The method comprises the steps that firstly, a
system dynamically
equivalent model, a dynamic model and a flexible vibration model are established under a
spacecraft system, then, the vibration frequency and the
damping ratio parameter of a
closed loop system with the index time-varying slide
mode control law are calculated, and a single-shaft multi-modality filtering
input shaping device with a characteristic shaft as a rotary shaft is designed according to the designing method of the single-shaft
input shaping device to restrain flexible vibration in three-shaft motion. Meanwhile, a
state observer is designed to estimate flexible
modal information in real time, and the method for controlling an
output feedback index time-varying slide mode is formed. At last, saturability analysis is conducted on
control torque so as to satisfy the physical saturation constraint of the
control torque. By means of the method, the application range of existing
input shaping is expanded, the input shaping technology is expanded from single-shaft maneuver to three-shaft maneuver, the self-robustness of filter input shaping is enhanced, and the purpose that the attitude maneuver path of the
spacecraft is the shortest is achieved.