Abstract: For assuring the precision and shape of large-scale antennas, conventional design method is to make the structure stiff enough. When using smart structure to control the deformation of the antenna structure, the weight of the structure can be reduced obviously and the shape precision of the antenna can be improved greatly. A multi-objective optimum control model is constructed for smart parabolic antennas with built-in piezoelectric actuators. In the model, the error of the best-fit paraboloid of antennas and the reference energy consumption are taken as objectives, and the strength of the structure and the characteristic of the actuator are taken as constraints. The model is transformed to a single objective, quadratic programming problem using weighting factors. The simulation of an antenna structure illustrates that a few actuators are needed to realize the high precision control of large-scale antenna.