Approximate explicit model predictive control incorporating heuristics

2002 IEEE International Symposium on Computer Aided Control System Design, CACSD 2002 - Proceedings

Volumn , Issue , 2002, Pages 92-97

  Grancharova, A ^a,b   Johansen, T A ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; BINARY TREES; COMPUTER CONTROL SYSTEMS; CONTROL SYSTEMS; MODEL PREDICTIVE CONTROL; PIECEWISE LINEAR TECHNIQUES; QUADRATIC PROGRAMMING; STATE FEEDBACK; SYSTEMS ANALYSIS;

APPROXIMATION ERRORS; BINARY SEARCH TREES; EXPLICIT MODEL PREDICTIVE CONTROL; HEURISTIC RULES; LINEAR MODELING; MULTI-PARAMETRIC QUADRATIC PROGRAMMING; PIECEWISE LINEAR STATE FEEDBACKS; REAL-TIME COMPUTATIONS;

FEEDBACK;

EID: 84964048534     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CACSD.2002.1036935     Document Type: Conference Paper

References (16)

1. A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, pp. 3-20, 2002.
2. A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit solution of model predictive control via multiparametric quadratic programming," in Proc. American Control Conference, Chicago, 2000, pp. 872-876.
3. T. A. Johansen, I. Petersen, and O. Slupphaug, "On explicit suboptimal LQR with state and input constraints," in Proc. IEEE Conf. Decision and Control, Sydney, 2000, pp. TuM05-6.
4. M. Seron, J. A. De Dona, and G. C. Goodwin, "Global analytical model predictive control with input constraints," in Proc. IEEE Conf. Decision and Control, Sydney, 2000, pp. TuA05-2.
5. E. Zafiriou, "Robust model predictive control of processes with hard constraints," Computers and Chemical Engineering, vol. 14, pp. 359-371, 1990.
6. P. Tøndel, T. A. Johansen, and A. Bemporad, "An algorithm for multi-parametric quadratic programming and explicit MPC solutions," in Proc. IEEE Conf. Decision and Control, Orlando, 2001, pp. TuP11-4.
7. T. A. Johansen, I. Petersen, and O. Slupphaug, "Explicit suboptimal linear quadratic regulation with input and state constraints," Automatica, vol. 38, July, accepted 2002.
8. A. Bemporad and C. Filippi, "Suboptimal explicit MPC via approximate quadratic programming," in Proc. IEEE Conf. Decision and Control, Orlando, 2001, pp. FrP08-5.
9. T. A. Johansen and A. Grancharova, "Approximate explicit model predictive control implemented via orthogonal search tree partitioning," in Preprints, IFAC World Congress, Barcelona, 2002, http://www.itk.ntnu.no/ansatte/Johansen-Tor.Arne/mpqp-tree-ifac.pdf.
10. F. Borrelli, M. Baotic, A. Bemporad, and M. Morari, "Efficient on-line computation of explicit model predictive control," in Proc. IEEE Conf. Decision and Control, Orlando, 2001, pp. TuP11-2.
11. B. Kouvaritakis, J. A. Rossiter, and J. Schuurmans, "Efficient robust predictive control," IEEE Trans. Automatic Control, vol. 45, pp. 1545-1549, 2000.
12. L. Chisci, "Fast algorithm for constrained infinite horizon LQ problem," Int. J. Control, vol. 72, pp. 1020-1026, 1999.
13. J. L. Bentley, "Multidimensional binary search trees used for associative searching," Communications of the ACM, vol. 18, pp. 509-517, 1975.
14. M. de Berg, M. van Kreveld, M. Overmars, and O. Schwarzkopf, Computational Geometry, 2nd edition, Springer-Verlag, Berlin, 2000.
15. P. Tøndel and T. A. Johansen, "Complexity reduction in explicit model predictive control," in Preprints, IFAC World Congress, Barcelona, 2002, http://www.itk.ntnu.no/ansatte/Johansen-Tor.Arne/mpqp-ifac-2002.pdf.
16. D. Chmielewski and V. Manousiouthakis, "On constrained infinite-time linear quadratic optimal control," Systems and Control Letters, vol. 29, pp. 121-129, 1996.