Explicit robust model predictive control

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 7, Issue PART 1, 2009, Pages 243-248

  Pistikopoulos, Efstratios N ^a   Faísca, Nuno P ^b   Kouramas, Konstantinos I ^a   Panos, Christos ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b PROCESS SYSTEMS ENTERPRISE LTD   (United Kingdom)

Author keywords

Dynamic programming; Explicit control; Multi parametric control; Multi parametric programming; Robust model predictive control

Indexed keywords

DYNAMIC PROGRAMMING; PREDICTIVE CONTROL SYSTEMS; ROBUST CONTROL;

CONSTRAINED DYNAMIC SYSTEM; MULTI-PARAMETRIC PROGRAMMING; OPTIMIZATION MODELING; PARAMETRIC CONTROL; PARAMETRIC FEEDBACK; PROBLEM FORMULATION; PROGRAMMING FRAMEWORK; ROBUST MODEL PREDICTIVE CONTROL;

MODEL PREDICTIVE CONTROL;

EID: 79960959132     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090712-4-tr-2008.00037     Document Type: Conference Paper

References (20)

1. Bazaraa, M. and Shetty, C. (1979). Nonlinear Programming-Theory and Algorithms. Wiley, New York.
2. Bellman, R. (2003). Dynamic programming. Dover Publications.
3. Bemporad, A., Borrelli, F., and Morari, M. (2003). Minmax control of constrained uncertain discrete-time linear systems. IEEE Trans. Aut. Con., 48, 1600-1606.
4. Bemporad, A. and Morari, M. (1999). Robustness in identification and control: A survey. In A. Garulli, A. Tesi, and A. Vicino (eds.), Robustness in identification and control. Springer-Verlag, Boston, USA.
5. Ben-Tal, A. and Nemirovski, A. (2000). Robust solutions of linear programming problems contaminated with uncertain data. Math. Prog., 88, 411-424.
6. Borrelli, F. (2003). Constrained optimal control of linear and hybrid systems, volume 290 of Lecture notes in control and information sciences. Berlin: Springer.
7. Dua, V., Bozinis, A., and Pistikopoulos, E. (2002). A mul-tiparametric programming approach for mixed-integer quadratic engineering problems. Comput. Chem. Eng., 26, 715-733. (Pubitemid 34552723)
8. Dua, V., Papalexandri, K., and Pistikopoulos, E. (2004). Global optimization issues in multiparametric continuous and mixed-integer optimization problems. Journal of Global Optimization, 30, 59-89. (Pubitemid 40626184)
9. Faísca, N., Kosmidis, V., Rustem, B., and Pistikopoulos, E. (2009). Global optimization of multi-parametric milp problems. Journal of Global Optimization, to appear in Special Issue of JOGO for the Workshop on Global Optimization.
10. Faísca, N., Kouramas, K., Saraiva, P., Rustem, B., and Pistikopoulos, E. (2008). A multi-parametric programming approach for ocnstrained dynamic programming problems. Optimization Letters, 2, 267-280. (Pubitemid 351161493)
11. Fiacco, A. (1976). Sensitivity analysis for nonlinear programming using penalty methods. Math. Prog., 10, 287-311.
12. Fiacco, A. (1983). Introduction to Sensitivity and Stability Analysis in Nonlinear Programming. Academic Press, New York.
13. Kouramas, K., Sakizlis, V., and Pistikopoulos, E. (2009). Design of robust model-based controllers via multi-parametric programming. Encyclopedia of Optimization, 677-687.
14. Lin, X., Janak, S., and Floudas, C. (2004). A new robust optimization approach for scheduling under uncertainty: I. bounded uncertainty. Comp. Chem. Eng., 28, 1069-1085. (Pubitemid 38520960)
15. Mayne, D., Rawlings, J., Rao, C., and Scokaert, P. (2000). Constrained model predictive control: stability and optimality. Automatica, 36, 789-814. (Pubitemid 30587683)
16. Pistikopoulos, E., Dua, V., Bozinis, N., Bemporad, A., and Morari, M. (2002). On-line optimization via offline parametric optimization tools. Comp. Chem. Eng., 26, 175-185. (Pubitemid 34211483)
17. Pistikopoulos, E., Georgiadis, M., and Dua, V. (2007a). Multi-parametric model-based control: theory and applications, volume 2 of Process Systems Engineering Series. Wiley-VCH, Weinheim.
18. Pistikopoulos, E., Georgiadis, M., and Dua, V. (2007b). Multi-parametric Programming: Theory, Algorithms and Applications, volume 1 of Process Systems Engineering Series. Wiley-VCH, Weinheim.
19. Sakizlis, V., Kakalis, N., Dua, V., Perkins, J., and Perkins, E. (2004). Design of robust model-based controllers via parametric programming. Automatica, 40, 189-201.
20. Wang, Y. and Rawlings, J. (2004). A new robust model predictive control method i: theory and computation. J. of Proc. Con., 14, 231-247.