基于重要性测度降维的液压管路稳健优化设计

提出一种基于重要性测度的降维预处理优化方法，对不确定环境下飞机局部液压管路系统的稳健性优化问题展开研究。引入区间模型描述随机变量分布参数（即设计变量）的不确定性，引入基于方差的重要性测度衡量设计变量对优化目标的贡献程度，从而筛选出对优化目标影响较大的设计变量，简化优化模型。该方法可以有效降低优化问题的维数，进而减少优化的计算成本。通过数值算例验证了所提方法的合理性和可行性，并采用该方法对飞机局部液压管路系统进行了稳健性优化设计。

Robust optimization of hydraulic piping system based on importance measure dimension-reduction

To research the robust optimization problem of aircraft local hydraulic piping system in uncertain environment, a dimension-reduction pretreatment method based on importance measure is presented. The interval model is used to describe the uncertainty of the random variable distribution (i.e., design variables), and the importance measure based on variance is introduced to measure the contribution of design variables to the optimization goal. The design variables which have large effect on the optimization goal are then screened out, and the optimization model is simplified. The proposed method can reduce the dimension of optimization problem and thus the cost of calculation dramatically. A numerical example is provided to illustrate the rationality and feasibility of the proposed method, and the robust optimization problem of the local aircraft hydraulic piping system is solved with the method.