Double main element-dynamic kernel principal component analysis fault diagnosis method based on chemical TE process
A dynamic core pivot and fault diagnosis technology, applied in design optimization/simulation, special data processing applications, complex mathematical operations, etc., and can solve problems such as low model accuracy
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[0085] 1. Generate a dynamic matrix
[0086] Select normal sample data, calculate the mean and standard deviation, and standardize the sample data to construct a training matrix; determine the optimal order and generate a dynamic matrix;
[0087] For example, firstly, the original data (including training samples 480*52 and test samples 960*52) are standardized, and the processing steps are as follows:
[0088] Suppose the original data x of n×p dimension ij , the matrix of observed values after standardized transformation is
[0089]
[0090] in
[0091]
[0092] After standardized transformation, the mean value of each column of matrix X is 0, and the standard deviation is 1.
[0093] The key to solving the autocorrelation problem of the DKPCA model is to determine the order h of the autoregressive model. Generally, h=1 or 2 is used in engineering applications, and the dynamic characteristic determination algorithm (DOD) is used to analyze the dynamic relationship...
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