基于改进灰色关联分析的仿真模型验证方法

为客观有效地进行仿真模型验证，降低灰色关联分析应用于模型验证的风险，构建了改进的灰色关联分析模型。分析了当前基于灰色关联分析的模型验证所存在的问题，针对仿真模型验证的特殊需要，综合考虑仿真模型输出和实际系统输出时间序列之间的相近性和相似性，提出了改进的灰色关联度模型，并证明了改进模型满足灰色关联四公理。最后通过实例的分析与比较验证了该模型的合理性和有效性。

Validation of simulation models based on improved grey relational analysis

To execute the validation of simulation model objectively and reduce the risk in application of grey relational analysis (GRA) effectively, the methodology of improved GRA is proposed. To solve the problems existed in model validation based on current GRA methods, in view of the similarity and nearness between the simulation and flight test time series (time varing data), the improved GRA model is established. And it is proved that the improved model satisfies the four grey relational axioms. Finally, a case study is given to show the reasonability and validity of the improved model.