Economic optimality in MPC: A comparative study

Model Predictive Control (MPC) is one of the most used advanced control strategy in the industries, mainly due to its capability to fulfill economic objectives, taking into account a simplified dynamic model of the plant, constraints, and stability requirements. In the last years, several economic formulations of MPC have been presented, which overcome the standard setpoint-tracking formulation. The goal of this work is to provide, by means of application to a highly nonlinear plant, a comparison of different strategies, focusing mainly on economic optimality, computational burden, and economic performance (understood as transient economic optimality).

[1]  Ronald K. Pearson,et al.  Nonlinear model predictive control of a simulated multivariable polymerization reactor using second-order Volterra models , 1996, Autom..

[2]  Darci Odloak,et al.  Integrating real-time optimization into the model predictive controller of the FCC system , 2002 .

[3]  Darci Odloak,et al.  A stable MPC with zone control , 2009 .

[4]  Antonio Ferramosca,et al.  A gradient-based strategy for the one-layer RTO+MPC controller , 2014 .

[5]  Antonio Ferramosca,et al.  Economic MPC for a changing economic criterion , 2010, 49th IEEE Conference on Decision and Control (CDC).

[6]  Wolfgang Marquardt,et al.  Integration of Economical Optimization and Control for Intentionally Transient Process Operation , 2007 .

[7]  Antonio Ferramosca,et al.  Economic MPC for a Changing Economic Criterion for Linear Systems , 2014, IEEE Transactions on Automatic Control.

[8]  Lars Grüne,et al.  Economic receding horizon control without terminal constraints , 2013, Autom..

[9]  Sebastian Engell Feedback control for optimal process operation , 2007 .

[10]  Panagiotis D. Christofides,et al.  Algorithms for improved fixed-time performance of Lyapunov-based economic model predictive control of nonlinear systems , 2013 .

[11]  Moritz Diehl,et al.  A Lyapunov Function for Economic Optimizing Model Predictive Control , 2011, IEEE Transactions on Automatic Control.

[12]  W. Ray,et al.  On the dynamic behaviour of a class of homogeneous continuous stirred tank polymerization reactors , 1977 .

[13]  C. V. Rao,et al.  Steady states and constraints in model predictive control , 1999 .

[14]  James B. Rawlings,et al.  Economic Dynamic Real-Time Optimization and Nonlinear Model-Predictive Control on Infinite Horizons , 2009 .

[15]  David Angeli,et al.  On convergence of averagely constrained economic MPC and necessity of dissipativity for optimal steady-state operation , 2013, 2013 American Control Conference.

[16]  Helen Durand,et al.  A tutorial review of economic model predictive control methods , 2014 .

[17]  Darci Odloak,et al.  Optimization and control of a continuous polymerization reactor , 2012 .

[18]  Lorenz T. Biegler,et al.  Technology Advances for Dynamic Real-Time Optimization , 2009 .

[19]  Coleman B. Brosilow,et al.  Nonlinear model predictive control of styrene polymerization at unstable operating points , 1990 .

[20]  Panagiotis D. Christofides,et al.  Economic model predictive control with time‐varying objective function for nonlinear process systems , 2014 .

[21]  Rishi Amrit,et al.  Optimizing Process Economics in Model Predictive Control , 2011 .

[22]  Martin Guay,et al.  Integration of Real-time Optimization & and Model Predictive Control* *The authors would like to acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada. , 2009 .

[23]  Lorenzo Fagiano,et al.  Generalized terminal state constraint for model predictive control , 2012, Autom..

[24]  Kenneth R. Muske Steady-state target optimization in linear model predictive control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[25]  Antonio Ferramosca,et al.  A gradient-based strategy for integrating Real Time Optimizer (RTO) with Model Predictive Control (MPC) , 2012 .

[26]  Eduardo F. Camacho,et al.  MPC for tracking piecewise constant references for constrained linear systems , 2008, Autom..

[27]  David Angeli,et al.  Fundamentals of economic model predictive control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[28]  Antonio Ferramosca,et al.  MPC for tracking with optimal closed-loop performance , 2009, Autom..

[29]  Antonio Ferramosca,et al.  Optimal MPC for tracking of constrained linear systems , 2011, Int. J. Syst. Sci..

[30]  Antonio Ferramosca,et al.  Steady-state target optimization designs for integrating real-time optimization and model predictive control , 2014 .

[31]  D. Limón,et al.  MPC FOR TRACKING OF PIECE-WISE CONSTANT REFERENCES FOR CONSTRAINED LINEAR SYSTEMS , 2005 .

[32]  David Angeli,et al.  On Average Performance and Stability of Economic Model Predictive Control , 2012, IEEE Transactions on Automatic Control.

[33]  Lyle H. Ungar,et al.  Verification of controllers in the presence of uncertainty : Application to styrene polymerization , 1996 .

[34]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .