The Validation Method of Simulation Model Based on K-Means Clustering and Fisher Discriminant Analysis

J. Song, Li Wei, Yang Ming
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Abstract

Usually, many simulation models of a system are provided. The most credible model should be selected. When the system only has a single output, some classic validation methods can solve the problem. But they become powerless when the system has multiple outputs with different data types. For solving the problem, the feature differences of each kind data were given, the simulation outputs were divided into k kinds of clusters based on K-means clustering, and which cluster the reference output belongs to was judged based on Fisher discriminant analysis. The simulation models whose outputs and reference output are in the same cluster are considered credible, and the model whose output is nearest to the reference output is the most credible one. In the application, the most credible model of the attitude control system of a missile was judged effectively by the method.
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基于k均值聚类和Fisher判别分析的仿真模型验证方法
通常,会提供一个系统的多个仿真模型。应该选择最可信的模型。当系统只有一个输出时,一些经典的验证方法可以解决这个问题。但是当系统有多个不同数据类型的输出时,它们就无能为力了。为了解决这一问题,给出了每一类数据的特征差异,基于k -means聚类将仿真输出分为k类聚类,并基于Fisher判别分析判断参考输出属于哪一类聚类。仿真模型的输出与参考输出在同一簇的模型被认为是可信的,输出最接近参考输出的模型是最可信的。在实际应用中,该方法能有效地判断出导弹姿态控制系统的最可信模型。
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