A two-level measurement-based dynamic optimization strategy for a bioreactor in penicillin fermentation process

Abstract One measurement-based dynamic optimization scheme can achieve optimality under uncertainties by tracking the necessary condition of optimality (NCO-tracking), with a basic assumption that the solution model remains invariant in the presence of all kinds of uncertainties. This assumption is not satisfied in some cases and the standard NCO-tracking scheme is infeasible. In this paper, a novel two-level NCO-tracking scheme is proposed to deal with this problem. A heuristic criterion is given for triggering outer level compensation procedure to update the solution model once any change is detected via online measurement and estimation. The standard NCO-tracking process is carried out at the inner level based on the updated solution model. The proposed approach is illustrated via a bioreactor in penicillin fermentation process.

[1]  Lorenz T. Biegler,et al.  Tracking the necessary conditions of optimality with changing set of active constraints using a barrier-penalty function , 2008, Comput. Chem. Eng..

[2]  Jay H. Lee,et al.  A moving horizon‐based approach for least‐squares estimation , 1996 .

[3]  Ye Lubin.  Optimal grade transition in polymerization processes under uncertainty , 2011 .

[4]  Dominique Bonvin,et al.  Adaptation strategies for real-time optimization , 2009, Comput. Chem. Eng..

[5]  Elaine T. Hale,et al.  Multi-Parametric Nonlinear Programming and the Evaluation of Implicit Optimization Model Adequacy , 2004, IFAC Proceedings Volumes.

[6]  Wolfgang Marquardt,et al.  A Model Predictive Control Scheme for Safe and Optimal Operation of Exothermic Semi-Batch Reactors , 1998 .

[7]  Feng Qian,et al.  A Hybrid Improved Genetic Algorithm and Its Application in Dynamic Optimization Problems of Chemical Processes , 2013 .

[8]  Dominique Bonvin,et al.  Optimal Grade Transition in Industrial Polymerization Processes via NCO Tracking , 2007 .

[9]  Dominique Bonvin,et al.  Dynamic optimization in the presence of uncertainty: From off-line nominal solution to measurement-based implementation , 2007 .

[10]  Dominique Bonvin,et al.  On the role of the necessary conditions of optimality in structuring dynamic real-time optimization schemes , 2013, Comput. Chem. Eng..

[11]  Dominique Bonvin,et al.  Dynamic optimization of batch processes: II. Role of measurements in handling uncertainty , 2003, Comput. Chem. Eng..

[12]  Lorenz T. Biegler,et al.  Reactor modeling and recipe optimization of polyether polyol processes: Polypropylene glycol , 2013 .

[13]  Thomas E. Marlin,et al.  Model adequacy requirements for optimizing plant operations , 1994 .

[14]  John Matthew Santosuosso,et al.  Dynamic optimization of batch processing , 2003 .

[15]  Sigurd Skogestad,et al.  NCO tracking and self-optimizing control in the context of real-time optimization , 2011 .

[16]  Jay H. Lee,et al.  Extended Kalman Filter Based Nonlinear Model Predictive Control , 1993, 1993 American Control Conference.

[17]  Dominique Bonvin,et al.  Optimal operation of batch reactors—a personal view , 1998 .

[18]  Ignacio E. Grossmann,et al.  Retrospective on optimization , 2004, Comput. Chem. Eng..

[19]  Fan Sun,et al.  Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes , 2013 .

[20]  Dominique Bonvin,et al.  Real-Time Optimization of Batch Processes by Tracking the Necessary Conditions of Optimality , 2007 .

[21]  Andrew N. Hrymak,et al.  Sensitivity analysis for chemical process optimization , 1996 .

[22]  D. Rippin,et al.  Implementation of Adaptive Optimal Operation for a Semi-Batch Reaction System , 1998 .

[23]  Bala Srinivasan,et al.  OPTIMAL GRADE TRANSITION FOR POLYETHYLENE REACTORS VIA NCO TRACKING , 2005 .

[24]  J. Rawlings,et al.  Feedback control of chemical processes using on-line optimization techniques , 1990 .

[25]  Aubrey B. Poore,et al.  Numerical Continuation and Singularity Detection Methods for Parametric Nonlinear Programming , 1993, SIAM J. Optim..

[26]  Alexander W. Dowling,et al.  Large‐scale optimization strategies for pressure swing adsorption cycle synthesis , 2012 .