Robust receding horizon predictive control for systems with uncertain dynamics and input saturation

Automatica

Volumn 36, Issue 10, 2000, Pages 1497-1504

  Lee, Young Il ^a   Kouvaritakis, Basil ^b  

^a Gyeongsang National University   (South Korea)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Feasibility; Input saturation; Invariance; Polyhedral set; Predictive control; Robust stability; Uncertainty

Indexed keywords

EID: 0000527130     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(00)00064-9     Document Type: Article

References (15)

1. Blanchini, F., Mesquine, F., & Miani, S. (1995). Constrained stabilization with assigned initial condition set. International Journal of Control, 62(3), 601-617.
2. Chen, H., & Allgöwer, F. (1998). A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica, 34, 1205-1217.
3. Ghaoui, L. E., Delebecque, F., & Nikoukhah, R. (1995). LMITOOL: A user-friendly interface for LMI optimization, User's Guide.
4. Gilbert, E. G., & Tan, K. T. (1991). Linear systems with state and control constraints: The theory and application of maximal admissible sets. IEEE Transactions on Automatic Control, 36(9), 1008-1020.
5. Keerthi, S. S., & Gilbert, E. G. (1988). Optimal infinite horizon feedback laws for a general class of constrained discrete time systems: stabililty and moving horizon approximations. Journal of Optimal Theory and Application, 57, 265-293.
6. Kothare, M. V., Balakrishnan, V., & Morari, M. (1996). Robust constrained model predictive control using linear matrix inequality. Automatica, 32(10), 1361-1379.
7. Lee, J. W, Kwon, W. H., & Choi, J. (1998). On stability of constrained receding horizon control with finite terminal weighting matrix. Automatica, 34(12), 1607-1612.
8. Lee, Y. I., & Kouvaritakis, B. (1999). Stabilizable regions of receding horizon predictive control with input constraints. Systems and Control Letters, 38(1), 13-20.
9. Mayne, D. Q., & Michalska, H. (1993). Robust receding horizon control of constrained nonlinear systems. IEEE Transactions on Automatic Control, 38(11), 1623-1633.
10. Mayne, D. Q., & Schroeder, W. R. (1997). Robust time-optimal control of constrained linear systems. Automatica, 33(12), 2103-2118.
11. Mees, A. I. (1981). Achieving diagonal dominance. System and Control Letters, 1(3), 155-158.
12. De Nicolao, G., Magni, L., & Scattolini, R. (1998). Stabilizable receding-horizon control of nonlinear time-varying systems. IEEE Transactions on Automatic Control, 43, 1030-1036.
13. Rossiter, J. A., Kouvaritakis, B., & Rice, M. J. (1998). A numerically robust state-space approach to stable-predictive control strategies. Automatica, 34(1), 65-73.
14. Scokaert, P. O. M., & Rawlings, J. B. (1998). Constrained linear quadratic regulation. IEEE Transactions on Automatic Control, 43, 1163-1169.
15. Vandenberghe, L., & Boyd, S. (1996). Semidefinite programming. SIAM Review, 38, 49-95.