Polymerization reactor fault diagnosis method based on combination of DKPCA (dynamic kernel principal component analysis) and FDA (Fisher's discriminant analysis)
A technology of fault diagnosis and aggregation kettle, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as economic loss, dynamic nonlinearity, large-scale accidents, etc., and achieve the effect of improving accuracy and efficiency
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[0015] The present invention will be described in detail below in conjunction with examples.
[0016] 1. First, construct the augmented matrix, and construct the augmented matrix containing the observed values at the previous time by expanding each observed variable with the previous observations. The augmented matrix is as follows:
[0017] (1)
[0018] 2. Obtain the dynamic kernel pivot under normal data and the dynamic kernel pivot of the data collected online through nuclear principal component analysis. Among them, the description of the nuclear principal component analysis calculation pivot is as follows:
[0019] via nonlinear mapping put the input space , mapped to the feature space superior. , in the feature space On, calculate the covariance matrix
[0020] (2)
[0021] by determining The eigenvectors can be obtained in the space the pivot in The eigenvectors of are directly related to the PCA of the input space.
[0022] (3)
[0023] in...
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