格栅反射器型面的主动控制

为了提高天线反射器的型面精度，以锆钛酸铅压电陶瓷（PZT）驱动的主控格栅反射器为研究对象，对该结构的力学建模方法和形状控制方法进行了研究。首先，建立了格栅反射器、PZT压电作动器一体化有限元模型。然后，采用影响系数矩阵法，以均方根误差最小为目标建立反射器型面主动控制优化模型，并通过最小二乘法求解作动器的最优控制律。最后，搭建了格栅反射器主动控制实验系统，以旋转抛物面为目标型面进行实验研究。实验结果表明，经主动控制后反射器型面精度提高了将近50%，且与仿真结果吻合较好，验证了一体化有限元建模方法的准确性和控制方法的有效性。

Active shape control of a reflector with PZT actuators assembled on ribs

To improve the shape accuracy of the antenna reflector, the mechanical modeling method and the shape control method for a reflector driven by the piezoelectric ceramic transducer (PZT) are studied. An integrated finite element model for the reflector structure and the PZT actuator is established. The influence coefficient matrix method is used to develop an optimization model for active shape control of the reflector with the objective of minimizing the mean square root error of the shape, and the optimal control laws of the actuator are solved by the least square method. An active shape control experimental system of the reflector is built, and the rotating paraboloid is taken as the target shape. Experimental results demonstrate that the shape accuracy of the reflector after active control is improved by nearly 50%, which are in good agreement with simulation results, and verifies the validity of the modeling method and feasibility of the control method.