On a property of a class of offset-free model predictive controllers

IEEE Transactions on Automatic Control

Volumn 54, Issue 3, 2009, Pages 663-669

  Bageshwar, Vibhor L ^a   Borrelli, Francesco ^b  

^a University of Minnesota   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chang Letov design; Disturbance models; Kalman filter; Model predictive control (MPC); Root locus

Indexed keywords

KALMAN FILTERS; PARAMETER ESTIMATION; POLES; PREDICTIVE CONTROL SYSTEMS; ROOT LOCI;

AUGMENTED SYSTEMS; CHANG LETOV DESIGN; CLOSED-LOOP ESTIMATORS; DISCRETE-TIME; DISTURBANCE MODELS; DISTURBANCE VECTORS; FREE CONTROLS; FREE MODELS; LINEAR TIME INVARIANTS; MODEL PREDICTIVE CONTROL (MPC); PLANT MODELS; POLE LOCATIONS; PREDICTIVE CONTROLS; ROOT LOCUS TECHNIQUES; SUFFICIENT CONDITIONS;

MODEL PREDICTIVE CONTROL;

EID: 63449106509     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2012998     Document Type: Article

References (22)

1. T. A. Badgwell and K. R. Muske, "Disturbance model design for linear model predictive control," in Proc. Amer. Control Conf., 2002, pp. 1621-1628.
2. V. Bageshwar and F. Borrelli, "On a property of a class of offset-free model predictive controllers," in Proc. Amer. Control Conf., 2008, pp. 447-452.
3. F. Borrelli and M. Morari, "Offest free model predictive control," in Proc. 46th IEEE Conf. Decision Control, 2007, pp. 1245-1250.
4. C. I. Byrnes and P. K. Stevens, The Mcmillan and Newton Polygons of a Feedback System and the Construction of Root Loci Division of Applied Ssciences, Harvard University, Cambridge, MA, Tech. Rep., 1981.
5. C. E. Garcia, D. M. Prett, and M. Morari, "Model predictive, control: Theory and practice-a survey," Automatica, vol. 25, pp. 335-348, 1989.
6. G. C. Goodwin, S. F. Graebe, and M. E. Salgado, Control System Design Englewood Cliffs, NJ: Prentice Hall, 2001.
7. F. L. Lewis, Optimal Estimation. New York: Wiley, 1986.
8. J. M. Maciejowski, "The implicit daisy-chaining property of constrained predictive control," Appl. Math. Comp. Sci., vol. 8. no. 4. pp. 695-711, 1998.
9. L. Magni, G. De Nicolao, and R. Scattolini, "Output feedback and tracking of nonlinear systems with model predective control," Automatica, pp. 1601-1607, 2001.
10. The MathWorks, Model Predictive Control Toolbox Matlab, 2005.
11. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vo1. 36, no. 6, pp. 789-814, Jun. 2000.
12. T. A. Meadwcroft, G. Stephanopoulos, and C. Brosilow, "The Modular Multivariabie Controller: 1: Steady-state properties," AIChE J., vol. 38, no. 8, pp. 1254-1278, 1992.
13. K. R. Muske and T. A. Badgwell, "Disturbance modeling for offset-free linenr model predictive control," J. Process Control, vol. 12, pp. 617-632, 2002.
14. B. Newman and D. Fu, "Sketching rules for the multivariable root locus design technique," in Proc. Amer. Control Conf., 1998, pp. 2040-2044.
15. G. Pannocchia, "Robust disturbance modeling for model predictive control with application to multivariable ill-conditioned processes," J. Process Control, vol. 13, no. 8, pp. 693-701, 2003.
16. G. Pannocchia and A. Bemporad, "Combined design of disturbance model and observer for offset-free model predictive control," IEEE Trans. Automat. Control, vol. 52, no. 6, pp. 1048-1053, Jun. 2007.
17. G. Pannocchia and J. B. Rawlings, "Disturbance models for offset-free MPC control," AIChE J., vol. 49, no. 2, pp. 426-437, 2003.
18. I. Postlethwaite, "The asymptotic behavior, the angles of departure and the angles of approach of the characteristics frequency loci," Int. J. Control, vol. 25, no. 5, pp. 677-695, 1977.
19. M. R. Rajamani, J. B. Rawlings, J. S. Qin, and J. J. Downs, "Equivalence of MPC disturbance models identified from data," in Proc. 5th Int. Conf. Chem. Process Control 7, 2006, p. 32.
20. R. F. Stengel, Optimal Control and Estimation. New York: Dover, 1994.
21. P. M. Thompson, G. Stein, and A. J. Laub, "Angles of multivariable root loci," IEEE Trans. Automat. Control, vol. AC-27 no. 6, pp. 1241-1243, Dec. 1982.
22. A. E. Yagle and B. C. Levy, Multivariable Root Loci on the Real Axis Laboratory for information and Decision Systems, M.I.T., Cambridge, MA. Tech. Rep. LIDS-P-1112, Jul. 1981 [Online]. Available: http:// dspace.mit.edu/bitstream/1721.1/945/1/P-1112-15613953.pdf