A method for cstr reactor time-delay system based on state filtering and parameter estimation
A parameter estimation and reactor technology, applied in the field of chemical process modeling and identification, can solve problems such as cost reduction, poor reliability, and time delay in modeling data
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[0071] The structure of the time-delay state-space model in the CSTR reactor is expressed in the form of double-input and double-output, and the specific expression of the model is:
[0072] x(t+1)=Ax(t)+Bx(t-d)+Fu(t), (1)
[0073] y(t)=Cx(t)+v(t). (2)
[0074] The present invention considers an exothermic reaction in CSTR, where x(t)∈R n is an unmeasurable state variable, n is a real number, t is time, and the coolant flow rate in the CSTR reactor is selected as the input variable of the model: u(t)=[u 1 (t), u 2 (t)] T ∈R 2 , product concentration as output variable: y(t)=[y 1 (t),y 2 (t)] T ∈R 2 , v(t)=[v 1 (t), v 2 (t)] T ∈R 2 is the white noise in the CSTR reactor, due to the time-delay response of the sensor in the CSTR reactor, the model has a time delay d, A∈R n×n , B ∈ R n×n , F∈R n ×2 and C∈R 2×n is the system parameter matrix to be identified;
[0075] Since the model is a multivariate system, direct identification is difficult and requires decom...
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