Research on Optimal Control for Drag-Free Satellite Based on Real Time Determination of Air Drag Force

Optimal control for collocation between drag-free satellite and its proof mass based on real time determination was investigated in this paper.The drag-free satellite and its proof mass were equivalent to outer and inner formflying two-satellites,and the dynamic equations were established.The reverse computation method of air drag force based on observing relative states between satellite and its proof mass was derived.The model of state optimal regulator was set up,and the dynamic programming was adopted to solve a linear quadratic optimization control.The simulation results of some drag-free satellite on a low circular orbit showed that the method had high precision and low computation cost.