Static Shape Adjustment and Actuator Layered Optimization for Planar Phased Array Satellite Antenna

Shape accuracy is of great importance in space antennas, especially in large-scale planar phased array antenna. To maintain the performance of the planar phased array antenna, shape accuracy must be strictly controlled. This paper proposes an optimization method using diagonal cables as actuators to achieve the shape adjustment. As for shape control, actuator placement has a significant impact on the controlled shape accuracy. Misplaced actuators always lead to control problems, and the desired performance may not be achieved with any choice of control forces, so the actuator placement optimization is needed. The optimization problem is challenging because of the mixed discrete–continuous nature of design variables: the actuator placement corresponds to discrete variables and the control forces are continuous variables. A layered optimization method is proposed in this paper to solve the optimal actuator placement and the corresponding control forces. A genetic algorithm is applied in the outside layer to achieve the optimization of the actuator placement, and the quadratic programming method is used in the inside layer to get the corresponding optimal control forces. The proposed layered optimization method is successfully applied to the large-scale planar phased array antenna. Using this method, the influence of the number of actuators on the controlled shape accuracy is also studied.