Industrial data driving prediction control method based on subspace identification
A technology of subspace identification and industrial data, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of low product yield, low control accuracy, high consumption and so on
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[0064] The present invention will be further described below in conjunction with embodiment.
[0065] In this embodiment, the industrial data-driven predictive control method based on subspace identification includes the following steps:
[0066] 1) Obtaining the output of the prediction model; consider the following discrete linear time-invariant system:
[0067]
[0068] where input u k ∈ R m , output y k ∈ R l , state x k ∈ R n . noise sequence {e k} is zero-mean Gaussian white noise, and its variance matrix is A, B, C, D, K are matrices of corresponding dimensions.
[0069] According to the input u k (k=1,2,...,2i+j-1) data to establish i row j column Hankel matrix U p and U f :
[0070]
[0071]
[0072] Among them, p and f represent "past" and "future" respectively; similarly, output y can be based on k The data to build the Hankel matrix Y p and Y f , according to the measurement noise e k The data to build the Hankel matrix E p and E f .
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