基于梯度法的多目标稳健设计研究  

Research of Multi-objective Robust Design Based on Gradient Method

作　　者：曹军[1] 宋华明[1] 许前[1] 

机构地区：[1]南京理工大学经济管理学院,江苏南京210094

出　　处：《中国制造业信息化（学术版）》2011年第7期66-69,共4页

基　　金：国家自然科学基金资助项目(70872047);国家自然科学基金重点项目(70931002)

摘　　要：针对多目标稳健设计问题,提出了基于梯度信息的稳健性设计方法。首先构建了多目标稳健性数学模型,在模型中把目标之一的均值作为约束,而把目标之二的稳健性作为优化目标。进一步地,针对复杂系统的多目标稳健设计中梯度难以计算的问题,提出了利用基于近似梯度的方法来进行稳健设计,并引用一个活塞的实例来验证所研究方法的有效性,与其他的稳健设计方法进行了对比。研究结果表明这种近似梯度能够很好地解决复杂系统的多目标稳健设计问题,实现多个目标之间的权衡。For a multi- objective robust design problem, it proposes a method based on gradient information,develops the mathematical model of the multi- objective robust design. It takes the model as. the objective is robustness and constraint is mean. Because the gradient is complex and difficult to calculate, it designs an approximate gradient method to carry out the robust design. In addition, it uses the case of robust design of piston to verify the method, and compares the method based on gradient information with other various robust design methods. The results show that the approximate gradient method can tackle the multi - objective robust design problem of complex system and get trade - offs between the multiple objectives.

关 键 词：稳健设计 梯度法 多目标 

分 类 号：O213.1[理学—概率论与数理统计]