Model predictive controller matching: Can MPC enjoy small signal properties of my favorite linear controller?

2009 European Control Conference, ECC 2009

Volumn , Issue , 2014, Pages 2217-2222

  Di Cairano, S ^a   Bemporad, A ^a  

^a UNIVERSITY OF SIENA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; LINEAR CONTROL SYSTEMS; MODEL PREDICTIVE CONTROL; PREDICTIVE CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

CLOSED LOOP FREQUENCY; FREQUENCY PROPERTIES; INITIAL CONDITIONS; LINEAR CONTROLLERS; LINEAR FEEDBACK CONTROL; MODEL PREDICTIVE CONTROLLERS; SIGNAL PROPERTIES; SMALL PERTURBATIONS;

CONTROLLERS;

EID: 84955211326     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2009.7074734     Document Type: Conference Paper

References (15)

1. K. Astrom and L. Rundqwist, "Integrator windup and how to avoid it," in American Control Conference, 1989, pp. 1693-1698.
2. J. Maciejowski, Predictive control with constraints. Englewood Cliffs, NJ: Prentice Hall., 2002.
3. D. Mayne, J. Rawlings, C. Rao, and P. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, no. 6, pp. 789-814, June 2000.
4. S. Qin and T. Badgwell, "A survey of industrial model predictive control technology," Control Engineering Practice, vol. 93, no. 316, pp. 733-764, 2003.
5. M. Bares, M. Diehl, and I. Necoara, "Every continuous nonlinear control system can be obtained by parametric convex programming," IEEE Trans. Automatic Control, vol. 53, no. 8, pp. 1963-1967, 2008.
6. M. Kocvara and M. Stingl, PENBMI User's Guide, Tomlab Optimization, 2003, latest version available at http://www. penopt. com/doc/ penbmi2 1. pdf.
7. A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3-20, 2002.
8. S. Di Cairano and A. Bemporad, "Model predictive controller tuning by controller matching," IEEE Trans. Automatic Control, 2009, submitted.
9. I. Kolmanovsky and E. G. Gilbert, "Theory and computation of disturbance invariant sets for discrete-time linear systems," Mathematical Problems in Engineering, vol. 4, pp. 317-367, 1998.
10. P. Scokaert and J. Rawlings, "Constrained linear quadratic regulation," IEEE Trans. Automatic Control, vol. 43, no. 8, pp. 1163-1169, 1998.
11. R. Kalman, "When is a Linear Control System Optimal" Trans. ASME, Jour. of Basic En., pp. 51-60, 1964.
12. T. Fujii, "A new approach to the LQ design from the viewpoint of the inverse regulator problem," IEEE Trans. Automatic Control, vol. 32, no. 11, pp. 995-1004, 1987.
13. K. Sugimoto, "Partial pole placement by LQ regulators: an inverse problem approach," IEEE Trans. Automatic Control, vol. 43, no. 5, pp. 706-708, 1998.
14. D. Chmielewski and V. Manousiouthakis, "On constrained infinitetime linear quadratic optimal control," Systems & Control Letters, vol. 29, no. 3, pp. 121-130, Nov. 1996.
15. J. Rawlings and K. Muske, "The stability of constrained recedinghorizon control," IEEE Trans. Automatic Control, vol. 38, pp. 1512-1516, 1993.