Robust tube-based MPC for tracking of constrained linear systems with additive disturbances

Journal of Process Control

Volumn 20, Issue 3, 2010, Pages 248-260

  Limon, D ^a   Alvarado, I ^a   Alamo, T ^a   Camacho, E F ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Constrained linear systems; Model predictive control; Offset free; Robust control; Tracking

Indexed keywords

ADDITIVE DISTURBANCE; CONSTRAINED LINEAR SYSTEMS; CONTROL OBJECTIVES; DEGREES OF FREEDOM; DOMAIN OF ATTRACTION; MODEL PREDICTIVE CONTROLLERS; MULTIVARIABLE NONLINEAR SYSTEMS; NEW PARAMETERS; NON-MINIMUM PHASE; OPERATING POINTS; OPERATION POINT; OPTIMIZATION PROBLEMS; POLYHEDRAL SET; PREDICTIVE CONTROL; PREDICTIVE CONTROLLER; PRIORITIZATION; ROBUST MODELS; ROBUST STABILITY;

CONTROLLERS; DISTURBANCE REJECTION; LINEAR SYSTEMS; MANEUVERABILITY; NONLINEAR SYSTEMS; PREDICTIVE CONTROL SYSTEMS; PROBLEM SOLVING; ROBUST CONTROL; TARGETS; UNCERTAIN SYSTEMS;

MODEL PREDICTIVE CONTROL;

EID: 75149118815     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2009.11.007     Document Type: Article

References (23)

1. I. Alvarado, Model predictive control for tracking of constrained linear systems, Ph.D. Thesis, Universidad de Sevilla, 2007 (in English).
2. I. Alvarado, D. Limon, T. Alamo, E.F. Camacho, An educational plant based on the quadruple-tank process, in: Proceedings of the ACE, 2006.
3. Bemporad A., Casavola A., and Mosca E. Nonlinear control of constrained linear systems via predictive reference management. IEEE Transactions on Automatic Control 42 (1997) 340-349
4. Bemporad A., Morari M., Dua V., and Pistikopoulos E. The explicit linear quadratic regulator for constrained systems. Automatica 38 1 (2002) 3-20
5. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in systems and control theory, Studies in Applied Mathematics 15 (1994).
6. Camacho E.F., and Bordons C. Model Predictive Control. second ed. (2004), Springer
7. Chisci L., and Zappa G. Dual mode predictive tracking of piecewise constant references for constrained linear systems. International Journal of Control 76 (2003) 61-72
8. Gilbert E.G., and Tan K. Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control 36 (1991) 1008-1020
9. Gilbert E., Kolmanovsky I., and Tan K.T. Discrete time reference governors and the nonlinear control of systems with state and control constraints. International Journal of Robust and Nonlinear Control 5 (1999) 487-504
10. Johansson K.H. The quadruple-tank process. IEEE Transactions on Control System Technics 8 (2000) 456-465
11. Kolmanovsky I., and Gilbert E.G. Theory and computation of disturbance invariant sets for discrete-time linear systems. Mathematical Problems in Engineering: Theory, Methods and Applications 4 (1998) 317-367
12. Limon D., Alvarado I., Álamo T., and Camacho E. MPC for tracking of piece-wise constant references for constrained linear systems. Automatica 44 9 (2008) 2382-2387
13. Mayne D., and Langson W. Robustifying model predictive control of constrained linear systems. Electronics Letters 37 (2001) 1422-1423
14. 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
15. Mayne D., Seron M., and Rakovic S. Robust model predictive control of constrained linear systems with bounded disturbances. Automatica 41 (2005) 219-224
16. K.R. Muske, Steady-state target optimization in linear model predictive control, in: Proceedings of the ACC, 1997.
17. Pannocchia G. Robust model predictive control with guaranteed setpoint tracking. Journal of Process Control 14 (2004) 927-937
18. Pannocchia G., and Kerrigan E. Offset-free receding horizon control of constrained linear systems. AIChE Journal 51 (2005) 3134-3136
19. Rakovic S., Kerrigan E., Kouramas K., and Mayne D. Invariant approximations of the minimal robustly positively invariant sets. IEEE Transactions on Automatic Control 50 (2005) 406-410
20. Rao C., and Rawlings J. Steady states and constraints in model predictive control. AIChE Journal 45 (1999) 1266-1278
21. J.B. Rawlings, R. Amrit, Optimizing process economic performance using model predictive control, in: Proceedings of International Workshop on Assessment and Future Directions of Nonlinear Predictive Control (NMPC'08), 2008.
22. Rossiter J., Kouvaritakis B., and Gossner J. Guaranteeing feasibility in constrained stable generalized predictive control. IEE Proceedings Control Theory Applications 143 (1996) 463-469
23. Tatjewski P. Advanced control and on-line process optimization in multilayer structures. Annual Reviews in Control 32 (2008) 7185