星载天线反射面传感器多目标优化部署方案

传感器数量和位置的优化部署，是实现大型星载天线在轨获取高精度模态参数亟待解决的关键技术。为克服以往研究中采用单一优化准则所带来的局限性和片面性，设计观测信息正交性最大和能量最大的双优化准则，引入NSGA-II算法进行多目标传感器优化部署求解。考虑到该算法仅适合连续性优化变量，存在收敛速度及多样性保持方面的不足，对其在编码方式和遗传算子设计两方面进行改进，并给出所有指标权重组合且分布均匀的Pareto最优解集。设计四种优化方案，进行仿真比较可得：基于改进NSGA-II算法的星载天线传感器多目标优化部署方案，较其他三种方案在性能指标上最优，且该方案更加符合实际工程的多指标优化设计要求，保证优化结果具有更高的灵活性和适应性。

Multi-objective optimal sensor deployment for satellite antenna reflector

To determine the number and locations of deployed sensors is the key technology to be solved for obtaining high precision modal parameters of large satellite antenna reflector on-orbit.To avoid the limitations and one-sidedness of single-objective criterion used in previous research work,the double-objective criterions were designed,which contain the largest orthogonality and the highest vibration energy of observed signals.NSGA-Ⅱ algorithm was introduced in solving multi-objective optimization problem of sensor deployment.Considering the limitation that only continuous variables can be applicable and the deficiencies in convergence speed and diversity holding of NSGA-Ⅱ,the coding and genetic operators were improved.Comparing the results of four cases with different single-objective and multi-objective criterions,the solutions based on improved NSGA-Ⅱ are the best among these four cases according to all indicators,which are of greater flexibility and adaptability and can obtain the uniform distributed Pareto solution set,including all weight combinations of multi objectives.It can more significantly meet the design requirements in real engineering.