DRSM Model for the Optimization and Control of Batch Processes

Abstract Current Optimization and Model Predictive Control practices for batch processes are implemented using two models, one for determining the optimal trajectories and another identified around those trajectories for control purposes. Here we use the recently developed Dynamic Response Surface Modeling methodology from which the optimal trajectories and the local linear or nonlinear state-space models for control purposes are obtained. Because concentration measurements at each batch run are very infrequent, this might be the most attractive way to obtain a dynamic model for control purposes.

[1]  Christos Georgakis,et al.  Data-driven, using design of dynamic experiments, versus model-driven optimization of batch crystallization processes , 2013 .

[2]  Er-Wei Bai,et al.  A blind approach to the Hammerstein-Wiener model identification , 2002, Autom..

[3]  Michel Verhaegen,et al.  Subspace identification of multivariable linear parameter-varying systems , 2002, Autom..

[4]  Herbert J. A. F. Tulleken,et al.  Generalized binary noise test-signal concept for improved identification-experiment design , 1990, Autom..

[5]  José A. Romagnoli,et al.  Application of Wiener model predictive control (WMPC) to a pH neutralization experiment , 1999, IEEE Trans. Control. Syst. Technol..

[6]  James M. Lucas,et al.  Response Surfaces, Mixtures, and Ridge Analysis, Second Edition , 2007 .

[7]  Christos Georgakis,et al.  Dynamic Optimization of a Batch Pharmaceutical Reaction using the Design of Dynamic Experiments (DoDE): the Case of an Asymmetric Catalytic Hydrogenation Reaction , 2010 .

[8]  Christos Georgakis,et al.  Design of Dynamic Experiments: A Data-Driven Methodology for the Optimization of Time-Varying Processes , 2013 .

[9]  James B. Rawlings,et al.  Postface to “ Model Predictive Control : Theory and Design ” , 2012 .

[10]  Margaret J. Robertson,et al.  Design and Analysis of Experiments , 2006, Handbook of statistics.

[11]  Michel Verhaegen,et al.  Closed-loop subspace identification of Hammerstein-Wiener models , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[12]  V. Verdult,et al.  Filtering and System Identification: A Least Squares Approach , 2007 .

[13]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[14]  Er-Wei Bai A blind approach to the Hammerstein-Wiener model identification , 2002, Autom..

[15]  Gregory M. Troup,et al.  Process systems engineering tools in the pharmaceutical industry , 2013, Comput. Chem. Eng..

[16]  Christos Georgakis,et al.  A Model-Free Methodology for the Optimization of Batch Processes: Design of Dynamic Experiments , 2009 .

[17]  Nikolai Klebanov,et al.  Dynamic Response Surface Models: A Data-Driven Approach for the Analysis of Time-Varying Process Outputs , 2016 .