A stabilizing output based nonlinear model predictive control scheme

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 4627-4632

  Roset, B J P ^a   Lazar, M ^a   Heemels, W P M H ^a   Nijmeijer, H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; NONLINEAR SYSTEMS; STATE FEEDBACK;

STATE FEEDBACK CONTROL LAW;

MODEL PREDICTIVE CONTROL;

EID: 39649090766     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377814     Document Type: Conference Paper

References (14)

1. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, pp. 789-814, 2000.
2. P. O. M. Scokaert, J. B. Rawlings, and E. S. Meadows, "Discrete-time stability with pertubations: Application to model predictive control," Automatica, vol. 33, pp. 463-470, 1997.
3. L. Magni, G. D. Nicolao, and R. Scattolini, "Output feedback receding-horizon control of discrete-time nonlinear systems," in IFAC Nonlinear Systems Design Symposium, Enschede, Netherlands, 1998, pp. 422-427.
4. M. J. Messina, S. E. Tuna, and A. R. Teel, "Discrete-time certainty equivalence output feedback: allowing discontinuous control laws including those from model predictive control," Automatica, vol. 41, pp. 617-628, 2005.
5. R. Findeisen, L. Imsland, F. Allgöwer, and B. A. Foss, "Output feedback stabilization of constrained systems with nonlinear model predictive control," International Journal of Robust and Nonlinear Control, vol. 23, pp. 211-227, 2003.
6. E. D. Sontag and Y. Wang, "New characterizations of the input to state property," IEEE Transactions on Automatic Control, vol. 41, pp. 1283-1294, 1996.
7. Z. P. Jiang and Y. Wang, "Input-to-state stability for discrete-time nonlinear systems," Automatica, vol. 37, pp. 857-869, 2001.
8. T. Lilge, Zum Entwurf nicht linearer zeitdiskreter Beobachter mittels Normalform. Fortschr. -Ber. VDI Reihe 8 Hr. 752. Düsseldorf, 1999.
9. B. J. P. Roset and H. Nijmeijer, "Observer based model predictive control," International Journal of Control, vol. 77, pp. 1452-1462, Nov. 2004.
10. S. S. Keerthi and E. G. Gilbert, "An existence theorem for discrete-time infinite-horizon optimal control problems," IEEE Transactions on Automatic Control, vol. AC-30, no. 9, pp. 907-909, 1985.
11. H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems. New York: Springer-Verlag, 1990.
12. H. Nijmeijer, "Observability of autonomous discrete time nonlinear systems: a geometric approach," International Journal of Control, vol. 36, pp. 867-874, May 1982.
13. D. M. Limon, T. Alamo, and E. F. Camacho, "Input-to-stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties," in 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, USA, Dec. 2002, pp. 4619-4624.
14. B. J. P. Roset, M. Lazar, W. P. M. H. Heemels, and H. Nijmeijer, "Stabilizing output feedback nonlinear model predictive control: An extended observer approach," submitted to a journal. To obtain a copy please contact the authors.