Abstract: Objetive: Develop study about light-weight and flexible membrane reflector based on ground experiment to realize precise control of electrostatic stretched membrane reflector in order to solve the contradiction between the bearing weight space of launch system and the use demand of reflector with large aperture and high resolving power. Method : First

based on the approximate solution of Poisson equation about small membrane deflection

aiming atФ300mm electrostatic stretched polyimide membrane reflector coated with aluminium controlled by three annular electrodes

to find the membrane control matrix by finnding influence function of each electrode in order to solve the needed voltages on the distributed electrodes by the method of least-squares fitting. The result is contrasted with that solved by ANSYS

and analyze the according errors

conclude the control method. Result: When the membrane center deflection is beyond 2.5mm

the result is very different with that solved by ANSYS

and the computed deflection deviates from ideal deflection greatly. Conclusion: Only using the integrated method of analytical compute

finite element analysis and experiment

the membrane shape can be exactly predicted and controlled by finding the membrane control matrix of the distributed electrode to solve the distributed voltages in the least-squares fitting meaning.