Method of 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 the problems of time delay, poor reliability, difficulty in effective control and improvement of production efficiency in modeling data, etc.
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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 de...
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