Predictive control via set-membership state estimation for constrained linear systems with disturbances

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 1738-1743

  Bemporad, A ^a   Garulli, A ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF SIENA   (Italy)

Author keywords

Hard constraints; Predictive control; Setmembership state estimation

Indexed keywords

LINEAR SYSTEMS;

A-STABILITY; CONSTRAINED LINEAR SYSTEMS; HARD CONSTRAINTS; PARTIAL STATE; PREDICTIVE CONTROL; SET-MEMBERSHIP STATE ESTIMATION; UNKNOWN BUT BOUNDED;

STATE ESTIMATION;

EID: 84949104217     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082354     Document Type: Conference Paper

References (20)

1. D. Q. Mayne and E. Polak, "Optimization based design and control". Preprints 12th IF AC World Congress, Vol. 3. pp. 129-138, Sydney, Jul. 1993.
2. J. Richalet, A. Rault, J. L. Testud and J. Papon, "Model predictive heuristic control-application to industrial processes", Aulomalica, Vol. 14, pp. 413-428, 1978.
3. J. M. Martín Sánchez, S. L. Shah and D. G. Fisher, "A stable adaptive predictive control system", Inl. J. Conlr., Vol. 39, pp. 215-234, 1981.
4. D. W. Clarke, C. Mothadi and P. S. Tuffs, "Generalized predictive control", Proc. IEE, Vol. 140, pp. 247-354, 1987.
5. C. E. García, D. M. Prett, and M. Morari, "Model predictive control: theory and practice - a survey", Aulomalica, Vol. 25(3), pp. 335-348, 1989.
6. D. Q. Mayne and H. Michalska, "Receding horizon control of nonlinear systems", IEEE Trans. Aul. Control, Vol. 35, pp. 814-824, 1990.
7. E. Mosca, J. M. Lemos, and J. Zhang, "Stabilizing I/O Receding-Horizon Control", Proc. 29lh IEEE CDC, pp. 2518-2523, 1990.
8. D. W. Clarke and R. Scattolini, "Constrained receding-horizon predictive control", Proc. IEE, Vol. 140, pp. 247-354, 1991.
9. J. B. Rawlings and K. R. Muske, "The stability of constrained receding horizon control", IEEE Trans. Aul. Conlrol, Vol. 38, N. 10, pp. 1512-1516, 1993.
10. A. Bemporad and E. Mosca, "Constraint fulfilment in feedback control via predictive reference management", Proc. 3rd IEEE Conf. on Control Applications, pp. 1909-1914, Glasgow, U. K., 1994.
11. A. Bemporad and E. Mosca, "Nonlinear predictive reference governor for constrained control systems", Proc. 34th IEEE Conf. on Decision and Control, New Orleans, Louisiana, U. S. A., 1995.
12. A. Bemporad, "Reference governor for constrained nonlinear systems", RT 23/96 Dip. Sislemi e Informaiica, to appear in IEEE Trans. Aul. Control, 1997.
13. E. G. Gilbert and I. Kolmanovsky, "Discrete-time reference governors for systems with state and control constraints and disturbance inputs, ", Proc. 34lh IEEE CDC, New Orleans, LA, 1995.
14. F. C. Schweppe, "Recursive state estimation: unknown but bounded errors and system inputs", IEEE Trans. Aul. Control, Vol. 13, pp. 22-28, 1968.
15. D. P. Bertsekas and I. B. Rhodes, "Recursive state estimation for a set-membership description of uncertainty", IEEE Trans. Aul. Conlrol, Vol. 16, pp. 117-128, 1971.
16. F. L. Chernousko, "Optimal guaranteed estimates of indeterminacies with the aid of ellipsoids. Parts I-III", Engineering Cybernetics, Vol. 18, 1980.
17. T. F. Filippova, A. B. Kurzhanski, K. Sugimoto and I. Valyi, "Ellipsoidal state estimation for uncertain dynamical systems", Bounding Approaches to System Identification, Plinum Poers, 1994.
18. V. Broman and M. J. Shensa, "A compact algorithm for the intersection and approximation of JV-dimensional polytopes", Mathematics and Computers in Simulation, Vol. 32, pp. 469-480, 1990.
19. A. Vicino and G. Zappa, "Sequential approximation of feasible parameter sets for identification with set membership uncertainty", IEEE Trans. Aul. Conlrol, Vol. 41, pp. 774-785, 1996.
20. L. Chisci, A. Garulli and G. Zappa, "Recursive state bounding by parallelotopes", Automatica, Vol. 32(7), pp. 1049-1056, 1996.