Abstract
In this work, the subspace identification method (SID) based on the linear time varying (LTV) state space model is developed to identify a nonlinear process under cascade control loops. By using the basis functions, the LTV subspace identification can describe a nonlinear process mathematically the same as the LTI one. Then, like the conventional LTI-SID approach, the same two-step procedure is developed. The subspace spanned by the columns of the extended observability matrix is estimated first from the input-output data of the system. Second, the system matrices are determined directly by the extended observability matrix. Also, to deal with closed-loop data, an innovation estimation method is adopted. Finally, level cascade control for reflux drum is presented to illustrate the features of the proposed LTV-SID method in comparison with the past LTI-SID method.
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