计算机集成制造系统 ›› 2021, Vol. 27 ›› Issue (11): 3282-3290.DOI: 10.13196/j.cims.2021.11.021

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混合不确定性鲁棒协同优化设计方法

杨丽丽1,李文龙1,孔祥龙1,2,许浩1   

  1. 1.上海卫星工程研究所
    2.哈尔滨工业大学航天学院
  • 出版日期:2021-11-30 发布日期:2021-11-30

Robust collaborative optimization method under mixed uncertainty

  • Online:2021-11-30 Published:2021-11-30

摘要: 为了改善鲁棒协同优化设计中约束函数鲁棒性评估的精确度,提出一种混合不确定性鲁棒协同优化设计方法。针对区间分布不确定性优化问题,该方法通过灵敏度分析方法修正子学科中的鲁棒约束函数,使不确定性因素不仅包括各输入变量的不确定性,还包括鲁棒协同优化求解过程中共享设计变量不一致带来的模型不确定性。数值算例的优化结果表明,混合不确定性鲁棒协同优化方法显著改善了约束函数鲁棒性评估的精确性。将该方法应用到一个卫星结构优化设计问题中,并采用自适应模拟退火算法求解,验证了该方法对复杂工程系统鲁棒优化设计问题的适用性。

关键词: 鲁棒协同优化, 鲁棒性评估, 模型不确定性, 自适应模拟退火算法

Abstract: To enhance the accuracy of robustness estimation for subsystem-level constraints in the process of robust collaborative optimization,a new method of robust collaborative optimization under mixed uncertainty was proposed.Aiming at the robust collaborative optimization problem under interval uncertainty,the formulation of subsystem-level constraints was corrected by using the method of sensitivity analysis.In the new method,not only the precision errors of input variables were included,but also the model uncertainty caused by the inconsistency of shared variables during robust collaborative optimization process was taken into consideration.The results of a numerical example showed that the accuracy of robustness estimation for subsystem-level constraints was improved significantly.The proposed method was applied to an optimization problem of satellite structure,and a desirable robust optimum solution was found by adaptive simulated annealing algorithm.Meanwhile,the applicability for the new method to robust optimization problems of complex systems was verified.

Key words: robust collaborative optimization, robustness estimation, model uncertainty, adaptive simulated annealing algorithm

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