Approximate explicit model predictive control implemented via orthogonal search tree partitioning

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 195-200

  Johansen, Tor A ^a   Grancharova, Alexandra ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; COMPUTATIONAL COMPLEXITY; COST FUNCTIONS; EMBEDDED SYSTEMS; FORESTRY; PIECEWISE LINEAR TECHNIQUES; PREDICTIVE CONTROL SYSTEMS; REAL TIME SYSTEMS; TREES (MATHEMATICS);

CONSTRAINT VIOLATION; EXPLICIT MODEL PREDICTIVE CONTROL; HIGH SAMPLING FREQUENCIES; LINEAR MODELING; PIECEWISE LINEAR; REAL-TIME COMPUTATIONS; REAL-TIME OPTIMIZATION; SOFTWARE COMPLEXITY;

MODEL PREDICTIVE CONTROL;

EID: 84945536413     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00601     Document Type: Conference Paper

References (14)

1. Bemporad, A. and C. Filippi (2001). Suboptimal explicit MPC via approximate quadratic programming. In: Proc. IEEE Conf. Decision and Control, Orlando. pp. FrP08-5.
2. Bemporad, A., M. Morari, V. Dua and E. N. Pistikopoulos (2000). The explicit solution of model predictive control via multiparametric quadratic programming. In: Proc. American Control Conference, Chicago. pp. 872-876.
3. Bemporad, A., M. Morari, V. Dua and E. N. Pistikopoulos (2002). The explicit linear quadratic regulator for constrained systems. Automatica 38, 3-20.
4. Bertsekas, D. P. and J. N. Tsitsiklis (1998). Neuro-dynamic Programming. Athena Scientific, Belmont.
5. Borrelli, F., M. Baotic, A. Bemporad and M. Morari (2001). Efficient on-line computation of explicit model predictive control. In: Proc. IEEE Conf. Decision and Control, Orlando. pp. TuP11-2.
6. Chmielewski, D. and V. Manousiouthakis (1996). On constrained infinite-time linear quadratic optimal control. Systems and Control Letters 29, 121-129.
7. de Berg, M., M. van Kreveld, M. Overmars and O. Schwarzkopf (2000). Computational Geometry, 2nd edition. Springer-Verlag, Berlin.
8. Fiacco, A. V. (1983). Introduction to sensitivity and stability analysis in nonlinear programming. Orlando, Fl: Academic Press.
9. Johansen, T. A., I. Petersen and O. Slupphaug (2000). On explicit suboptimal LQR with state and input constraints. In: Proc. IEEE Conf. Decision and Control, Sydney. pp. TuM05-6.
10. Parisini, T. and R. Zoppoli (1995). A receding-horizon regulator for nonlinear systems and a neural approximation. Automatica 31, 1443-1451.
11. Parisini, T. and R. Zoppoli (1996). Neural approximations for multistage optimal control of nonlinear stochastic systems. IEEE Trans. on Automatic Control 41, 889-895.
12. Seron, M., J. A. De Dona and G. C. Goodwin (2000). Global analytical model predictive control with input constraints. In: Proc. IEEE Conf. Decision and Control, Sydney. pp. TuA05-2.
13. Tøndel, P. and T. A. Johansen (2002). Complexity reduction in explicit model predictive control. In: Preprints, IFAC World Congress, Barcelona.
14. Tøndel, P., T. A. Johansen and A. Bemporad (2001). An algorithm for multi-parametric quadratic programming and explicit MPC solutions. In: Proc. IEEE Conf. Decision and Control, Orlando. pp. TuP11-4.