Robust Collaborative Optimization Method Based on Dual-response Surface  

作　　者：WANG Wei FAN Wenhui CHANG Tianqing YUAN Yuming 

机构地区：[1]National CIMS Engineering Research Center, Tsinghua University, Beijing 100084, China [2]Department of Control Engineering, Academy of Armored Force Engineering, Beijing 100072, China

出　　处：《Chinese Journal of Mechanical Engineering》2009年第2期169-176,共8页中国机械工程学报（英文版）

基　　金：supported by National Hi-tech Research and Development Program of China (863 Program, Grant No. 2006AA04Z160);National Key Technology R&D Program (Grant No. 2006BAF01A01);National Natural Science Foundation of China (Grant No. 60474059);Pre-Research Foundation of Military Equipment of China

摘　　要：A novel method for robust collaborative design of complex products based on dual-response surface （DRS-RCO） is proposed to solve multidisciplinary design optimization （MDO） problems under uncertainty. Collaborative optimization （CO） which decomposes the whole system into a double-level nonlinear optimization problem is widely accepted as an efficient method to solve MDO problems. In order to improve the quality of complex product in design process, robust collaborative optimization （RCO） is developed to solve those problems under uncertain conditions. RCO does optimization on the linear sum of mean and standard deviation of objective function and gets an optimal solution with high robustness. Response surfaces method is an important way to do approximation in robust design. DRS-RCO is an improved RCO method in which dual-response surface replaces system uncertainty analysis module of CO. The dual-response surface is the approximate model of mean and standard deviation of objective function respectively. In DRS-RCO, All the information of subsystems is included in dual-response surfaces. As an additional item, the standard deviation of objective function is added to the subsystem optimization. This item guarantee both the mean and standard deviation of this subsystem is reaching the minima at the same time. Finally, a test problem with two coupled subsystems is conducted to verify the feasibility and effectiveness of DRS-RCO.A novel method for robust collaborative design of complex products based on dual-response surface （DRS-RCO） is proposed to solve multidisciplinary design optimization （MDO） problems under uncertainty. Collaborative optimization （CO） which decomposes the whole system into a double-level nonlinear optimization problem is widely accepted as an efficient method to solve MDO problems. In order to improve the quality of complex product in design process, robust collaborative optimization （RCO） is developed to solve those problems under uncertain conditions. RCO does optimization on the linear sum of mean and standard deviation of objective function and gets an optimal solution with high robustness. Response surfaces method is an important way to do approximation in robust design. DRS-RCO is an improved RCO method in which dual-response surface replaces system uncertainty analysis module of CO. The dual-response surface is the approximate model of mean and standard deviation of objective function respectively. In DRS-RCO, All the information of subsystems is included in dual-response surfaces. As an additional item, the standard deviation of objective function is added to the subsystem optimization. This item guarantee both the mean and standard deviation of this subsystem is reaching the minima at the same time. Finally, a test problem with two coupled subsystems is conducted to verify the feasibility and effectiveness of DRS-RCO.

关 键 词：multidisciplinary design optimization robust design dual-response surface 

分 类 号：TP271.9[自动化与计算机技术—检测技术与自动化装置] TQ936.1[自动化与计算机技术—控制科学与工程]