Extended invariance and its use in model predictive control

Automatica

Volumn 41, Issue 12, 2005, Pages 2163-2169

  Lee, Y I ^a   Cannon, M ^b   Kouvaritakis, B ^b  

^a Seoul National University of Science and Technology   (South Korea)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Linear difference inclusion; Periodic invariance; Terminal sets; Time varying feedback; Uncertainity

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR SYSTEMS; MATHEMATICAL MODELS; SET THEORY; UNCERTAIN SYSTEMS;

LINEAR DIFFERENCE INCLUSION; PERIODIC INVARIANCE; TERMINAL SETS; TIME-VARYING FEEDBACK; UNCERTAINITY;

TIME VARYING SYSTEMS;

EID: 27344451595     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.07.012     Document Type: Article

References (20)

1. M. Bacic, M. Cannon, Y.I. Lee, and B. Kouvaritakis General interpolation in MPC and its advantages IEEE Transactions on Automatic Control 48 2003 1092 1096
2. A. Bemporad, F. Borrelli, and M. Morari Min-max control of constrained uncertain discrete-time linear systems IEEE Transactions on Automatic Control 48 9 2003 1600 1606
3. F. Blanchini Set invariance in control Automatica 35 1999 1747 1767
4. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadelphia
5. M. Cannon, B. Kouvaritakis, and V. Deshmukh Enlargement of polytopic terminal region in NMPC by interpolation and partial invariance Automatica 40 2 2004 311 317
6. H. Chen, and F. Allgower A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability Automatica 14 10 1998 1205 1217
7. G. De Nicolao Cyclomonotonicity and stabilizability properties of solutions of the difference periodic Riccati equation IEEE Transactions on Automatic Control 37 1992 1405 1410
8. J.A. DeDona, M.M. Seron, D.Q. Mayne, and G.C. Goodwin Enlarged terminal sets guaranteeing stability of receding horizon control Systems & Control Letters 47 2002 57 63
9. M.V. Kothare, V. Balakrishnan, and M. Morari Robust constrained model predictive control using linear matrix inequalities Automatica 32 10 1996 1361 1379
10. B. Kouvaritakis, J.A. Rossiter, and J. Schuurmans Efficient robust predictive control IEEE Transactions on Automatic Control 45 8 2000 1545 1549
11. Y.I. Lee Receding horizon control for input constrained linear parameter varying systems IEE Proceedings of Control Theory and Applications 151 5 2004 547 553
12. Y.I. Lee, and B. Kouvaritakis A linear programming approach to constrained robust predictive control IEEE Transactions on Automatic Control 45 9 2000 1765 1770
13. J.H. Lee, and Z. Yu Worst-case formulations of model predictive control for systems with bounded parameters Automatica 33 5 1997 763 781
14. L. Magni, G. De Nicolao, L. Magnani, and R. Scattolini A stabilizing model-based predictive control for nonlinear systems Automatica 37 2001 1351 1362
15. W.-J. Mao Robust stabilization of uncertain time-varying discrete systems and comments on "An improved approach for constrained robust model predictive control" Automatica 39 6 2003 1109 1112
16. D.Q. Mayne, J.B. Rawlings, C.V. Rao, and P.O.M. Scokaert Constrained model predictive control: Stability and optimality Automatica 36 6 2000 789 814
17. H. Michalska, and D.Q. Mayne Robust receding horizon control of constrained nonlinear systems IEEE Transactions on Automatic Control 38 11 1993 1623 1632
18. M. Vidyasagar Nonlinear systems analysis second ed. 1993 Prentice-Hall Englewood Cliffs, NJ
19. Yan, W., & Bitmead, R. R. (1991). Periodic receding horizon LQ regulators for discrete-time systems. Proceedings of the 30th conference on decision and control (pp. 2301-2306).
20. T.H. Yang, and E. Polak Moving horizon control of nonlinear systems with input saturation, disturbances and plant uncertainty International Journal of Control 58 4 1993 875 903