Two‐step procedure for data‐based modeling for inferential control applications

A two-step procedure for building an inferential control model, which uses both historical operation data and plant test data, is proposed. Motivation for using the two types of data is given, and a systematic way to combine them in the model-identification step is proposed. Some potential problems associated with the procedure in practice and their solutions are discussed. The efficacy of the procedure is demonstrated in a case study involving a multicomponent distillation column simulated in HYSYS.

[1]  Francis J. Doyle,et al.  Nonlinear inferential control for process applications , 1997 .

[2]  Wei Li,et al.  Control relevant identification of ill-conditioned systems: Estimation of gain directionalyty , 1996 .

[3]  Sigurd Skogestad,et al.  Inconsistencies in Dynamic Models for Ill-Conditioned Plants: Application to Low-Order Models of Distillation Columns , 1994 .

[4]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[5]  Lennart Ljung,et al.  Closed-loop identification revisited , 1999, Autom..

[6]  Jay H. Lee,et al.  Robust inferential control of multi-rate sampled-data systems , 1992 .

[7]  G. Stephanopoulos,et al.  Minimizing unobservability in inferential control schemes , 1980 .

[8]  William L. Luyben,et al.  Inferential model-based control of multicomponent batch distillation , 1992 .

[9]  JayHyung Lee,et al.  Nonlinear inferential control of pulp digesters , 1994 .

[10]  Wallace E. Larimore,et al.  Canonical variate analysis in identification, filtering, and adaptive control , 1990, 29th IEEE Conference on Decision and Control.

[11]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[12]  M. S. Gelormino,et al.  Model predictive control of multi-rate sampled-data systems: a state-space approach , 1992 .

[13]  Manfred Morari,et al.  State-space interpretation of model predictive control , 1994, Autom..

[14]  M. Soroush,et al.  Multi‐rate nonlinear state and parameter estimation in a bioreactor , 1999 .

[15]  Babatunde A. Ogunnaike,et al.  Control of product quality for batch nylon 6,6 autoclaves , 1998 .

[16]  Lennart Ljung,et al.  Subspace identification from closed loop data , 1996, Signal Process..

[17]  Jay H. Lee,et al.  Subspace identification based inferential control of a continuous pulp digester , 1997 .

[18]  Y. Arkun,et al.  Estimation of nonlinear systems using linear multiple models , 1997 .

[19]  James B. Rawlings,et al.  Model predictive control with linear models , 1993 .

[20]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[21]  Bart De Moor,et al.  N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems , 1994, Autom..

[22]  Lennart Ljung,et al.  An alternative motivation for the indirect approach to closed-loop identification , 1999, IEEE Trans. Autom. Control..

[23]  William L. Luyben,et al.  Use of multiple temperatures for the control of multicomponent distillation columns , 1984 .

[24]  Masoud Soroush,et al.  Nonlinear State Estimation in a Polymerization Reactor , 1997 .

[25]  G. Kranc,et al.  Input-output analysis of multirate feedback systems , 1957 .

[26]  Sten Bay Jørgensen,et al.  Dynamics and identification of a binary distillation column , 1989 .

[27]  Jay H. Lee,et al.  Subspace identification based inferential control applied to a continuous pulp digester , 1999 .