智能抛物面天线多目标最优控制

大型天线必须保持非常精确的形状。由于载荷变化及各种随机干扰，为了保持精确的形状，这类结构宜采用主动控制。针对智能抛物面天线结构，建立了对天线反射面的最佳吻合抛物面的RMS精度和作动器能耗为综合目标的多目标优化模型。优化模型以结构强度和作动器性能作为约束条件，模型转化为二次规划问题进行求解，实现智能抛物面天线的准静态最优控制。算例表明，可以用较少的作动器，实现大型天线结构的精密控制。

Multi-objective optimum control of intelligent parabolic antennas

Large-scale antennas should keep its shape prexisely. Since various load cases and every kind of stochastic interference,this kind of structure is fit for active control method for the purpose of keeping its shape.For intelligent parabolic antennas,a multi-objective optimum model is established,which takes the RMS(root-mean-square) of the light distant difference to the best-fit paraboloid of antennas and the energy consumed by actuators as multiple objective functions.The optimum model is constrained by strength of the structure and character of actuators.The objective functions are combined in one by two weighting factors and then quadratic approximation is taken for solving.Finally,the model is transformed to a sequential-quadratic-programming problem.Simulation of quasi-static shape control of intelligent parabolic antennas was carried out.Examples illustrate that the precise shape control of large-scale antennas can be realized by using fewer actuators.With the increase of the number of the actuators,the precision of the antennas can be very high and ultimately reaches to zero error theoretically.