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PLS-based model predictive control relevant identification: PLS-PH algorithm
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DOI：10.1016/j.chemolab.2009.11.008.png)
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Control-relevant identification produces a model by minimizing a cost function that is commensurate with the control cost function. This paper focuses on model predictive control (MPC); thus, a multi-step ahead prediction error cost function is minimized. Numerical optimization algorithms such as Levenberg-Marquardt can be used to minimize the non-linear identification cost function provided the identification data set is not ill-conditioned. A PLS-based line search numerical optimization approach denoted PLS-PH is proposed to tackle the minimization of the identification cost function in case the identification data set is ill-conditioned. PLS-PH fits a MIMO linear model to an identification data set that may be ill-conditioned. Two chemical processes are identified to compare predictive performance of models obtained using Least Squares, Levenberg-Marquardt, and PLS-PH. The two examples show that the models fitted with PLS-PH outperform the other models if the identification data set is ill-conditioned. (C) 2009 Elsevier B.V. All rights reserved.
Keyword:
Numerical optimization
Line search
Partial least squares
Model predictive control
Control-relevant identification
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