On robustness of constrained discrete-time systems to state measurement errors

Automatica

Volumn 44, Issue 4, 2008, Pages 1161-1165

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

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Constrained systems; Difference inclusions; Discontinuous feedback; Discrete time systems; Input to state stability; Measurement errors; Model predictive control; Nonlinear control systems; Robustness

Indexed keywords

CLOSED LOOP SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

FEEDBACK CONTROLLERS; STATE MEASUREMENT ERRORS;

CONSTRAINT THEORY;

EID: 41049113817     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.08.002     Document Type: Article

References (13)

1. Freeman, R. A., & Kokotović, P. V. (1993). Global robustness of nonlinear systems to state measurement disturbances. In Proceedings of the IEEE conference on decision and control (pp. 1507-1512), San Antonio, USA.
2. Grimm, G., Messina, M. J., Tuna, S. E., & Teel, A. R. (2003). Nominally robust model predictive control with state constraints. In Proceedings of the 42nd IEEE conference on decision and control (pp. 1413-1418), Maui, Hawaii, USA.
3. Jiang Z.-P., and Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica 37 (2001) 857-869
4. Kazakos D., and Tsinias J. The input-to-state stability condition and global stabilization of discrete-time systems. IEEE Transactions on Automatic Control 39 (1994) 2111-2113
5. Lazar, M., Heemels, W. P. M. H., Roset, B. J. P., Nijmeijer, H., & van den Bosch, P. P. J. (2007). Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters. International Journal of Robust and Nonlinear Control, published online July 19 2007.
6. Limon, D., Alamo, T., & Camacho, E. F. (2002). Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties. In Proceedings of the 41st IEEE conference on decision and control (pp. 4619-4624), Las Vegas, Nevada, USA.
7. Limon D., Alamo T., Salas F., and Camacho E.F. Input-to-state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties. Automatica 42 (2006) 797-803
8. Magni, L., Nicolao, G. D., & Scattolini, R. (1998). Output feedback receding-horizon control of discrete-time nonlinear systems. In Proceedings of the IFAC nonlinear systems design symposium (pp. 422-427), Enschede, Netherlands.
9. Magni L., Raimondo D., and Scattolini R. Regional input-to-state stability for nonlinear model predictive control. IEEE Transactions on Automatic Control 51 9 (2006) 1548-1553
10. Mayne D.Q., Raković S.V., Findeisen R., and Allgöwer F. Robust output feedback model predictive control of constrained linear systems. Automatica 42 (2006) 1217-1222
11. Mayne D.Q., Rawlings J.B., Rao C.V., and Scokaert P.O.M. Constrained model predictive control: Stability and optimality. Automatica 36 (2000) 789-814
12. Messina M.J., Tuna S.E., and Teel A.R. Discrete-time certainty equivalence output feedback: Allowing discontinuous control laws including those from model predictive control. Automatica 41 (2005) 617-628
13. Roset, B. J. P., Lazar, M., Heemels, W. P. M. H., & Nijmeijer, H. (2007). Design of stabilizing output feedback nonlinear model predictive controllers with an application to DC-DC converters. In Proceedings of the European control conference (pp. 2999-3004), Kos, Greece.