Active Control for Segmented Deployable Ultra-thin Piezoelectric Space Telescope

For segmented space optical telescopes based on microsatellite platforms, ultra-thin piezoelectric deformable mirror technology is applied for precise shape control to compensate for wavefront errors caused by disturbances, thereby improving the resolution of telescopes and reducing emission volume. First, the layout of the piezoelectric segmented ultra-thin telescope is introduced and analyzed. Second, taking typical optical modes and random shape as tracking targets, control strategies under space loads and disturbances are described. Subsequently, numerical simulations on the shape control performance for different tracking targets are carried out by SVD (Singular Value Decomposition) and DLS (Damped Least Squares) controllers. Finally, optimizations based piezoelectric actuator number and system control parameters are investigated respectively to further improve the tracking capabilities, reduce the voltage range. The research results show that, the active control can significantly reduce the RMSE (Root Mean Square Error) of the tracking target, which is further decreased through optimization of the number of actuators. On the premise of meeting the performance indicators, the voltage difference between actuators can be reduced by the optimization of control parameters. This paper provides an effective reference value for the precise shape control of space optical telescopes.