Explicit min-max model predictive control of constrained nonlinear systems with model uncertainty

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 1019-1024

  Grancharova, Alexandra ^a,b   Johansen, Tor A ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

Author keywords

Constraints; Nonlinear systems; Piecewise linear controllers; Predictive control; Uncertainty

Indexed keywords

CONTROLLERS; HEAT TRANSFER; LINEAR CONTROL SYSTEMS; NONLINEAR PROGRAMMING; NONLINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; PREDICTIVE CONTROL SYSTEMS; TREES (MATHEMATICS); UNCERTAINTY ANALYSIS;

CONSTRAINED NONLINEAR MODEL; CONSTRAINED NONLINEAR SYSTEMS; CONSTRAINTS; CONTINUOUS STIRRED TANK REACTOR; MIN-MAX MODEL PREDICTIVE CONTROLS; PIECEWISE LINEAR CONTROLLERS; PREDICTIVE CONTROL; UNCERTAINTY;

MODEL PREDICTIVE CONTROL;

EID: 79960735215     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00826     Document Type: Conference Paper

References (21)

1. Bemporad, A., F. Borrelli and M. Morari (2003). Min-max control of constrained uncertain discrete-time linear systems. IEEE Transactions on Automatic Control, 48, 1600-1606.
2. Bemporad, A., M. Morari, V. Dua, and E. N. Pistikopoulos (2002). The explicit linear quadratic regulator for constrained systems. Automatica, 38, 3-20.
3. Bentley, J. L. (1975). Multidimensional binary search trees used for associative searching. Communications of the ACM, 18, 509-517.
4. Fiacco, A. V. (1983). Introduction to sensitivity and stability analysis in non-linear programming. Academic press, New York.
5. Grancharova, A. and T. A. Johansen (2002). Approximate explicit model predictive control incorporating heuristics. In: Proceedings of IEEE International Symposium on Computer Aided Control System Design, Glasgow, pp. 92-97.
6. Grancharova, A. and T. A. Johansen (2003). Design of robust explicit model predictive controller via orthogonal search tree partitioning. In: Proceedings of the European Control Conference, Cambridge, U.K.
7. Grossmann, I. E., K. P. Halemane and R. E. Swaney (1983). Optimization strategies for flexible chemical processes. Computers and Chemical Engineering, 7, 439-462.
8. Hicks, G. and W. Ray (1971). Approximation methods for optimal control synthesis. The Canadian Journal of Chemical Engineering, 49, 522-528.
9. Horst, R. and H. Tuy (1995). Global optimization. Berlin, Springer.
10. Johansen, T. A. and A. Grancharova (2003). Approximate explicit constrained linear model predictive control via orthogonal search tree. IEEE Transactions on Automatic Control, 48, 810-815.
11. Johansen, T. A. (2002). On multi-parametric nonlinear programming and explicit nonlinear model predictive control. In: Proceedings of IEEE Conference on Decision and Control, Las Vegas, NV, vol. 3, pp. 2768-2773.
12. Johansen, T. A. (2004). Approximate explicit receding horizon control of constrained nonlinear systems. Automatica, 40, 293-300.
13. Kerrigan, E. C. and J. M. Maciejowski (2003). On robust optimization and the optimal control of constrained linear systems with bounded state disturbances. In: Proceedings of the European Control Conference, Cambridge, U.K.
14. Mangasarian, O. L. and J. B. Rosen (1964). Inequalities for stochastic nonlinear programming problems. Operations Research, 12, 143-154.
15. Mayne, D. Q., J. B. Rawlings, C. V. Rao and P. O. M. Scokaert (2000). Constrained model predictive control: Stability and optimality. Automatica, 36, 789-814.
16. Michalska, H. and D. Q. Mayne (1993). Robust receding horizon control of constrained nonlinear systems. IEEE Transactions on Automatic Control, 38, 1623-1633.
17. Muñtoz de la Peña, D., A. Bemporad and C. Filippi (2004). Robust explicit MPC based on approximate multi-parametric convex programming. In: Proceedings of IEEE Conference on Decision and Control, Bahamas.
18. Rockafellar, R. T. (1970). Convex analysis, Princeton University Press, New Jersey.
19. Sakizlis, V., N. M. P. Kakalis, V. Dua, J. D. Perkins and E. N. Pistikopoulos (2004). Design of robust model-based controllers via parametric programming. Automatica, 40, 189-201.
20. Seron, M., J. A. De Dona and G. C. Goodwin (2000). Global analytical model predictive control with input constraints. In: Proceedings of IEEE Conference on Decision and Control, Sydney.
21. Tøndel, P., T. A. Johansen and A. Bemporad (2003). An algorithm for multi-parametric quadratic programming and explicit MPC solutions. Automatica, 39, 489-497.