Economic optimization using model predictive control with a terminal cost

Annual Reviews in Control

Volumn 35, Issue 2, 2011, Pages 178-186

  Amrit, Rishi ^a   Rawlings, James B ^a   Angeli, David ^b,c  

^a University of Wisconsin Madison   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Closed loop stability; Dissipative systems; Model predictive control; Process economics; Terminal penalty

Indexed keywords

CLOSED LOOP STABILITY; CLOSED-LOOP PERFORMANCE; DISSIPATIVE SYSTEMS; DISSIPATIVITY; DYNAMIC REGULATION; ECONOMIC COSTS; ECONOMIC OPTIMIZATION; ECONOMIC PERFORMANCE; EQUILIBRIUM POINT; GLOBAL MINIMA; ILLUSTRATIVE EXAMPLES; PREDICTIVE CONTROL; PROCESS ECONOMICS; RIGOROUS ANALYSIS; STABILITY ANALYSIS; STABILITY ANALYSIS TOOL; STEADY STATE; STEADY STATE PERFORMANCE; STEADY-STATE OPTIMIZATION; SUFFICIENT CONDITIONS; TERMINAL CONSTRAINT; TERMINAL COSTS; TERMINAL PENALTIES; TERMINAL PENALTY; TERMINAL REGIONS; TERMINAL STATE; THE STANDARD MODEL;

ASYMPTOTIC STABILITY; COSTS; ECONOMIC ANALYSIS; MODEL PREDICTIVE CONTROL; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS;

COST BENEFIT ANALYSIS;

EID: 82455212826     PISSN: 13675788     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.arcontrol.2011.10.011     Document Type: Article

References (10)

1. Angeli, D., Amrit, R., & Rawlings, J. B. (in press). On average performance and stability of economic model predictive control. IEEE Transaction on Automatic Control.
2. S. Bittanti, G. Fronza, and G. Guardabassi Periodic control: A frequency domain approach IEEE Transaction on Automatic Control 18 1 1973 33 38
3. M. Diehl, R. Amrit, and J.B. Rawlings A Lyapunov function for economic optimizing model predictive control IEEE Transaction on Automatic Control 56 3 2011 703 707
4. Gilbert, E. (1976). Optimal periodic control: A general theory of necessary conditions. In 1976 IEEE conference on decision and control including the fifteen th symposium on adaptive processes (Vol. 15).
5. R.A. Horn, and C.R. Johnson Matrix analysis 1985 Cambridge University Press
6. S. Krantz Handbook of complex variables 1999 Birkhauser ISBN 0817640118
7. J.B. Rawlings, and R. Amrit Optimizing process economic performance using model predictive control L. Magni, D.M. Raimondo, F. Allgöwer, Nonlinear model predictive control Lecture notes in control and information sciences vol. 384 2009 Springer Berlin 119 138
8. J.B. Rawlings, D. Bonné, J.B. Jørgensen, A.N. Venkat, and S.B. Jørgensen Unreachable setpoints in model predictive control IEEE Transaction on Automatic Control 53 9 2008 2209 2215
9. J.B. Rawlings, and D.Q. Mayne Model predictive control: Theory and design 2009 Nob Hill Publishing Madison, WI ISBN 978-0-9759377-0-9
10. Rawlings, J. B., & Mayne, D. Q. (2011). Postface to model predictive control: theory and design. < http://jbrwww.che.wisc.edu/home/jbraw/mpc/ postface.pdf >.