Computational feasibility and performance of nonlinear model predictive control schemes

In recent years many theoretical issues related to nonlinear model predictive control (NMPC) have been addressed and solved. However there remain a number of problems that have to be solved before a successful application of NMPC in practice is possible. In this paper we examine the computational demand and performance of different (efficient) NMPC schemes if specially tailored dynamic optimization strategies are used. As example process we consider the control of a high purity distillation column.

[1]  Johannes P. Schlöder,et al.  Real-Time Optimization for Large Scale Processes: Nonlinear Model Predictive Control of a High Purity Distillation Column , 2001 .

[2]  H. Bock,et al.  A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems , 1984 .

[3]  Frank Allgöwer,et al.  A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability , 1997, 1997 European Control Conference (ECC).

[4]  M. Diehl,et al.  Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations , 2000 .

[5]  S. Joe Qin,et al.  An Overview of Nonlinear Model Predictive Control Applications , 2000 .

[6]  Riccardo Scattolini,et al.  Stabilizing nonlinear receding horizon control via a nonquadratic terminal state penalty , 1996 .

[7]  Stephen J. Wright,et al.  Nonlinear Predictive Control and Moving Horizon Estimation — An Introductory Overview , 1999 .

[8]  Irene Bauer.  Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik , 1999 .

[9]  Hans Bock,et al.  A Direct Multiple Shooting Method for Real-Time Optimization of Nonlinear DAE Processes , 2000 .

[10]  Frank Allgöwer,et al.  Nonlinear Model Predictive Control for Index—one DAE Systems , 2000 .

[11]  F. Finocchi,et al.  Chemical Reactions and Dust Destruction in Protoplanetary Accretion Disks , 1996 .

[12]  Zoltan K. Nagy,et al.  Efficient Nonlinear Model Predictive Control for Large Scale Constrained Processes , 2000 .

[13]  M. Diehl,et al.  Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations , 2000 .

[14]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..