The current research of complex nonlinear system robust optimization mainly focuses on the features of design parameters, such as probability density functions, boundary conditions, etc. After parameters study, high-d...The current research of complex nonlinear system robust optimization mainly focuses on the features of design parameters, such as probability density functions, boundary conditions, etc. After parameters study, high-dimensional curve or robust control design is used to find an accurate robust solution. However, there may exist complex interaction between parameters and practical engineering system. With the increase of the number of parameters, it is getting hard to determine high-dimensional curves and robust control methods, thus it＇s difficult to get the robust design solutions. In this paper, a method of global sensitivity analysis based on divided variables in groups is proposed. By making relevant variables in one group and keeping each other independent among sets of variables, global sensitivity analysis is conducted in grouped variables and the importance of parameters is evaluated by calculating the contribution value of each parameter to the total variance of system response. By ranking the importance of input parameters, relatively important parameters are chosen to conduct robust design analysis of the system. By applying this method to the robust optimization design of a real complex nonlinear system-a vehicle occupant restraint system with multi-parameter, good solution is gained and the response variance of the objective function is reduced to 0.01, which indicates that the robustness of the occupant restraint system is improved in a great degree and the method is effective and valuable for the robust design of complex nonlinear system. This research proposes a new method which can be used to obtain solutions for complex nonlinear system robust design.展开更多
针对稳健优化设计中噪声因子和可控因子波动对质量特性影响的问题,结合Kriging模型和稳健优化思想,提出了一种同时考虑噪声因子和可控因子波动的稳健优化方法。该方法首先假定噪声因子和可控因子服从正态分布,提出了基于两类因子波动下...针对稳健优化设计中噪声因子和可控因子波动对质量特性影响的问题,结合Kriging模型和稳健优化思想,提出了一种同时考虑噪声因子和可控因子波动的稳健优化方法。该方法首先假定噪声因子和可控因子服从正态分布,提出了基于两类因子波动下的稳健设计方法;其次,在融合两类波动信息的空间填充设计基础上,构建Kriging均值模型和标准差模型;然后,基于稳健优化思想,建立优化目标函数;最后,结合经济订购批量(Economic Order Quantity,EOQ)模型和蒙特卡洛仿真,验证所提方法的有效性和稳健性。结果表明,所提方法能有效解决噪声因子和可控因子波动情况下的稳健优化问题。展开更多
基金Supported by National Natural Science Foundation of China(Grant No.51275164)
文摘The current research of complex nonlinear system robust optimization mainly focuses on the features of design parameters, such as probability density functions, boundary conditions, etc. After parameters study, high-dimensional curve or robust control design is used to find an accurate robust solution. However, there may exist complex interaction between parameters and practical engineering system. With the increase of the number of parameters, it is getting hard to determine high-dimensional curves and robust control methods, thus it＇s difficult to get the robust design solutions. In this paper, a method of global sensitivity analysis based on divided variables in groups is proposed. By making relevant variables in one group and keeping each other independent among sets of variables, global sensitivity analysis is conducted in grouped variables and the importance of parameters is evaluated by calculating the contribution value of each parameter to the total variance of system response. By ranking the importance of input parameters, relatively important parameters are chosen to conduct robust design analysis of the system. By applying this method to the robust optimization design of a real complex nonlinear system-a vehicle occupant restraint system with multi-parameter, good solution is gained and the response variance of the objective function is reduced to 0.01, which indicates that the robustness of the occupant restraint system is improved in a great degree and the method is effective and valuable for the robust design of complex nonlinear system. This research proposes a new method which can be used to obtain solutions for complex nonlinear system robust design.
文摘针对稳健优化设计中噪声因子和可控因子波动对质量特性影响的问题,结合Kriging模型和稳健优化思想,提出了一种同时考虑噪声因子和可控因子波动的稳健优化方法。该方法首先假定噪声因子和可控因子服从正态分布,提出了基于两类因子波动下的稳健设计方法;其次,在融合两类波动信息的空间填充设计基础上,构建Kriging均值模型和标准差模型;然后,基于稳健优化思想,建立优化目标函数;最后,结合经济订购批量(Economic Order Quantity,EOQ)模型和蒙特卡洛仿真,验证所提方法的有效性和稳健性。结果表明,所提方法能有效解决噪声因子和可控因子波动情况下的稳健优化问题。
