A Dynamic Process Monitoring Method Based on New Dynamic Principal Component Analysis
A technology of dynamic principal component analysis and dynamic process, which is applied in the direction of program control, electrical program control, comprehensive factory control, etc., and can solve problems such as inability to dig out time series correlation
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[0050] The method of the present invention will be described in detail below in conjunction with the accompanying drawings and specific examples of implementation.
[0051] Such as figure 1 As shown, the present invention discloses a dynamic process monitoring method based on a novel dynamic principal component analysis, and the specific implementation method is as follows.
[0052] Step (1): Collect samples under normal operating conditions of the production process to form a training data matrix X∈R n×m , and calculate the mean μ of each column vector in matrix X 1 , μ 2 ,…,μ m and the standard deviation δ 1 ,δ 2 ,…,δ m , corresponding to the composition mean vector μ=[μ 1 , μ 2 ,…,μ m ] T with standard deviation vector δ=[δ 1 ,δ 2 ,…,δ m ].
[0053] Step (2): According to the formula Standardize the matrix X to get the matrix where U ∈ R n×m It is a matrix composed of n same mean vector μ, that is, U=[μ,μ,…,μ] T , the elements on the diagonal in the diag...
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