Method and system for identifying time delay in extraction and separation process of rare earth

A system for identifying a time delay in an extraction and separation process of rare earth, comprising:

• a sequence obtaining module configured to obtain a time delay sequence and a time base sequence;
• a sequence generation module configured to generate a reference sequence based on component contents of multiple rare earth elements, and generate comparison sequences based on multiple process variables;
• a data preprocessing module configured to preprocess the reference sequence and the comparison sequences to obtain preprocessed data;
• a correlation determination module configured to obtain a grey correlation according to the preprocessed data;
• a comparison sequence selection module configured to determine a comparison sequence with a highest correlation with the reference sequence based on the grey correlation;
• a first matrix construction module configured to form an original data matrix by taking the comparison sequence with the highest correlation with the reference sequence as a process variable, wherein the original data matrix is A:
• A=[A0, A1, . . . AN];
• and in the formula, A0 is a data sequence of an inlet process variable, Ai is a data sequence of an outlet process variable of an i-th work unit, and i=1, 2, . . . , N;
• a second matrix construction module configured to construct a time-correlation data matrix based on the time delay sequence, the time base sequence, and the original data matrix;
• a third matrix construction module configured to generate a time-correlation analysis matrix based on the time-correlation data matrix;
• a norm determination module configured to determine H∞ norms of the time-correlation analysis matrix;
• and
• a multi-time delay determination module configured to determine a time delay sequence corresponding to a maximum H∞ norm as a to-be-solved multi-time delay.