Computation of the constrained infinite time linear quadratic regulator

Automatica

Volumn 40, Issue 4, 2004, Pages 701-708

  Grieder, Pascal ^a   Borrelli, Francesco ^a   Torrisi, Fabio ^a   Morari, Manfred ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Constrained infinite horizon control; Invariant Set; Linear quadratic regulator; Model predictive control

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONTROL EQUIPMENT; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; FUNCTIONS; INVARIANCE; PREDICTIVE CONTROL SYSTEMS; QUADRATIC PROGRAMMING; SET THEORY;

CONSTRAINED INFINITE HORIZON CONTROL; INVARIANT SETS; LINEAR QUADRATIC REGULATORS; MODEL PREDICTIVE CONTROL (MPC);

LINEAR CONTROL SYSTEMS;

EID: 1242287565     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2003.11.014     Document Type: Article

References (16)

1. Baotić, M. (2002). An efficient algorithm for multi-parametric quadratic programming. Technical report AUT02-04, Automatic Control Laboratory, ETH Zurich, Switzerland.
2. Bemporad A., Fukuda K., Torrisi F.D. Convexity recognition of the union of polyhedra. Computational Geometry. 18:2001;141-154.
3. Bemporad A., Morari M., Dua V., Pistikopoulos E.N. The explicit linear quadratic regulator for constrained systems. Automatica. 38(1):2002;3-20.
4. Borrelli, F. (2003). Constrained optimal control of linear and hybrid systems, Lecture notes in control and information sciences, Vol. 290. Berlin: Springer.
5. Borrelli, F., Baotić, M., Bemporad, A., & Morari, M. (2001). Efficient on-line computation of constrained optimal control. In Proceedings of the 40th IEEE conference on decision and control.
6. Chisci L., Zappa G. Fast algorithm for a constrained infinite horizon LQ problem. International Journal of Control. 72(11):1999;1020-1026.
7. Chmielewski D., Manousiouthakis V. On constrained infinite-time linear quadratic optimal control. Systems & Control Letters. 29(3):1996;121-130.
8. Cuttler, C.R., & Ramaker, B.C. (1980). Dynamic matrix control - a computer control algorithm. In Proceedings of the american control conference, Vol. WP5-B, San Francisco, USA.
9. Gevers M., Bitmead R.R., Wertz V. Adaptive optimal control, the thinking man's GPC. 1990;Prentice-Hall, Englewood Cliffs, NJ.
10. Gilbert E.G., Tan K. Linear systems with state and control constraints: The theory and applications of maximal output admissible sets. IEEE Transactions on Automatic Control. 36(9):1991;1008-1020.
11. Mayne D.Q., Rawlings J.B., Rao C.V., Scokaert P.O.M. Constrained model predictive control: Stability and optimality. Automatica. 36(6):2000;789-814.
12. Rawlings J.B., Muske K.R. The stability of constrained receding-horizon control. IEEE Transactions on Automatic Control. 38:1993;1512-1516.
13. Richalet J., Rault A., Testud A.L., Papon J. Model predictive heuristic control-application to industrial processes. Automatica. 14:1978;413-428.
14. Scokaert P.O.M., Rawlings J.B. Constrained linear quadratic regulation. IEEE Transactions on Automatic Control. 43(8):1998;1163-1169.
15. Sznaier, M., & Damborg, M. J. (1987). Suboptimal control of linear systems with state and control inequality constraints. In Proceedings of the 26th IEEE Conference on decision and control, Vol. 1 (p. 761-762).
16. T ø ndel, P., Johansen, T. A., & Bemporad, A. (2001). An algorithm for multi-parametric quadratic programming and explicit MPC solutions. In Proceedings of the 40th IEEE conference on decision and control.