Selection of control configurations for economic model predictive control systems

Economic model predictive control (EMPC) is a feedback control method that dictates a potentially dynamic (time-varying) operating policy to optimize the process economics. The objective function used in the EMPC system may be a general nonlinear function that describes the process/system economics. As this function is not derived on the sole basis of classical control considerations (stabilization, tracking, and optimal control action calculation) but rather on the basis of economics, selecting the appropriate control configuration, and quantifying the influence of a given input on an economic cost is an important task for the proper design and computational efficiency of an EMPC scheme. Owing to these considerations, an input selection methodology for EMPC is proposed which utilizes the relative degree and the sensitivity of the economic cost with respect to an input to identify and select stabilizing manipulated inputs with the most dynamic and steady-state influence on the economic cost function to be assigned to EMPC. Other considerations for input selection for EMPC are also discussed and integrated into a proposed input selection methodology for EMPC. The control configuration selection method for EMPC is demonstrated using a chemical process example. © 2014 American Institute of Chemical Engineers AIChE J, 60: 3230–3242, 2014

[1]  J. D. Perkins,et al.  Process control structure selection based on economics , 2000 .

[2]  Ali Khaki-Sedigh,et al.  Input-Output Pairing for Nonlinear Multivariable Systems , 2007 .

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

[4]  W. Luyben The concept of Eigenstructure in process control , 1988 .

[5]  David Angeli,et al.  Economic model predictive control with self-tuning terminal cost , 2013, Eur. J. Control.

[6]  Geoff Barton,et al.  Interaction between process design and process control: economic analysis of process dynamics , 1991 .

[7]  Marc M. J. van de Wal,et al.  A review of methods for input/output selection , 2001, Autom..

[8]  C. Kravaris,et al.  Geometric methods for nonlinear process control. 1. Background , 1990 .

[9]  Manfred Morari,et al.  Studies in the synthesis of control structures for chemical processes: Part I: Formulation of the problem. Process decomposition and the classification of the control tasks. Analysis of the optimizing control structures , 1980 .

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

[11]  D. Biss,et al.  Assessment of input-output controllability in the presence of control constraints , 1996 .

[12]  J. D. Perkins,et al.  An algorithmic method for the selection of multivariable process control structures , 2002 .

[13]  Costas Kravaris,et al.  Plant-wide control structure selection methodology based on economics , 2013, Comput. Chem. Eng..

[14]  E. Bristol On a new measure of interaction for multivariable process control , 1966 .

[15]  Prodromos Daoutidis,et al.  Structural evaluation of control configurations for multivariable nonlinear processes , 1992 .

[16]  Panagiotis D. Christofides,et al.  On finite-time and infinite-time cost improvement of economic model predictive control for nonlinear systems , 2014, Autom..

[17]  John D. Perkins,et al.  Optimization as a tool for design/control integration , 1994 .

[18]  David Angeli,et al.  Economic optimization using model predictive control with a terminal cost , 2011, Annu. Rev. Control..

[19]  Lorenz T. Biegler,et al.  Lyapunov stability of economically oriented NMPC for cyclic processes , 2011 .

[20]  Efstratios N. Pistikopoulos,et al.  Recent advances in optimization-based simultaneous process and control design , 2004, Comput. Chem. Eng..

[21]  Yuandan Lin,et al.  A Smooth Converse Lyapunov Theorem for Robust Stability , 1996 .

[22]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[23]  Sigurd Skogestad,et al.  Self-optimizing control: the missing link between steady-state optimization and control , 2000 .

[24]  Richard D. Braatz,et al.  Screening tools for robust control structure selection , 1995, Autom..

[25]  Panagiotis D. Christofides,et al.  Economic model predictive control of nonlinear process systems using Lyapunov techniques , 2012 .

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

[27]  Benjamin P. Omell,et al.  IGCC Power Plant Dispatch Using Infinite-Horizon Economic Model Predictive Control , 2013 .

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

[29]  Sigurd Skogestad,et al.  An industrial and academic perspective on plantwide control , 2009 .

[30]  George Stephanopoulos,et al.  Synthesis of control systems for chemical plants A challenge for creativity , 1983 .

[31]  Michael Baldea,et al.  Dynamic considerations in the synthesis of self-optimizing control structures , 2008 .

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

[33]  S. Torkel Glad,et al.  Extensions of the RGA concept to nonlinear systems , 1999, 1999 European Control Conference (ECC).