A multi-objective optimization strategy of load-dependent sensor number determination and placement for on-orbit modal identification

A load-dependent sensor placement method comprised of the estimated error of modal coordinates and redundancy elimination model of sensor distribution was developed for on-orbit modal identification. The first optimization objective was the selection of the optimum matching level of the full model according to the estimated error between the sub-modal coordinates obtained by sensor placement and the full case. A redundancy elimination was designed based on the distance and distribution of each sensor, as well as the effect of load position distance, which can overcome the dense distribution of sensors and interference caused by placing sensors near the loading. A multi-objective optimization strategy was proposed to determine the optimum number of sensors and corresponding positions based on the interval possibility. This method was applied to a solar-powered satellite for modal identification to monitor the load case of docking during the process of on-orbit service.