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Kernel Local Fuzzy Clustering Margin Fisher Discriminant Method Faced on Fault Diagnosis

机译:故障诊断面临的核局部模糊聚类裕量Fisher判别方法

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In order to better identify the fault of rotor system,one new method based on local fuzzy clustering margin fisher discriminant (LFCMFD) was proposed. For each point on manifold, the farthest point in local neighborhood and the nearest point outside local neighborhood usually constituted the local margin. LFCMFD introduced fuzzy cluster analysis algorithm, eliminated the influence of pseudo-margin points, obtained real local margin, compute with-class scatter and between-class scatte, established local magin fisher discriminant function, found optimal fault diagnosis vector,and then identified the fault class of new testing data by this vector. In order to improve the nonlinear analysis ability of LFCMFD, considering kernel mapping idea, training data with supervision information were mapped to kernel space, constructed kernel fisher discriminant function, LFCMFD algorithm based on kernel method (KLFCMFD)was proposed. The experiment showed, KLFCMFD algorithm had best effect in comparison to other manifold learning algorithm to the rotor fault diagnosis,and fully identify fault class when selecting the appropriate parameters.
机译:为了更好地识别转子系统的故障,提出了一种基于局部模糊聚类余量菲舍尔判别式(LFCMFD)的新方法。对于流形上的每个点,本地邻域中的最远点和本地邻域外的最近点通常构成本地边界。 LFCMFD引入了模糊聚类分析算法,消除了伪边界点的影响,获得了实际的局部裕度,计算了带类散点和类间散点,建立了局部毛边费舍尔判别函数,找到了最优的故障诊断向量,进而确定了故障此向量对新的测试数据进行分类。为了提高LFCMFD的非线性分析能力,考虑核映射思想,将带有监督信息的训练数据映射到核空间,构造核fisher判别函数,提出了基于核方法的LFCMFD算法(KLFCMFD)。实验表明,与其他流形学习算法相比,KLFCMFD算法在转子故障诊断中效果最好,在选择合适的参数时可以充分识别故障类别。

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