Offset-free receding horizon control of constrained linear systems

AIChE Journal

Volumn 51, Issue 12, 2005, Pages 3134-3146

  Pannocchia, Gabriele ^a   Kerrigan, Eric C ^b  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Constraints; Model predictive control; Offset free control; Robust control; Tracking

Indexed keywords

CONSTRAINT THEORY; FEEDBACK; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING SYSTEMS;

CONSTRAINTS; DOMAIN OF ATTRACTION; MODEL PREDICTIVE CONTROL; OFFSET-FREE CONTROL;

LINEAR SYSTEMS;

CONTROL SYSTEM;

EID: 30544432290     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10626     Document Type: Conference Paper

References (41)

1. Blanchini F. Set Invariance in Control. Automatica. 1999;35:1747-1767. Survey paper.
2. Mayne DQ. Control of constrained dynamic systems. Euro J of Control. 2001;7:87-99. Survey paper.
3. Mayne DQ, Rawlings JB, Rao CV, Scokaert POM. Constrained model predictive control: Stability and optimality. Automatica. 2000;36:789-814. Survey paper.
4. Findeisen R, Imsland L, Allgöwer F, Foss B A. State and output feedback nonlinear model predictive control: An overview. Euro J of Control. 2003;9:190-206. Survey paper.
5. Morari M, Lee JH. Model predictive control: Past, present and future. Computers & Chem Eng. 1999;23:667-682. Survey paper.
6. Blanchini F. Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions. IEEE Trans Automatic Control. 1994;39:428-433.
7. Mayne DQ, Schroeder WR. Robust-Optimal Control of Constrained Linear Systems. Automatica. 1997;33:2103-2118.
8. Bemporad A, Casavola A, Mosca E. Nonlinear Control of Constrained Linear Systems via Predictive Reference Management. IEEE Trans. Automatic Control. 1997;42:340-349.
9. Bemporad A. Reference governor for constrained nonlinear systems. IEEE Trans. Automatic Control. 1998;43:415-419.
10. Bemporad A, Mosca E. Fulfilling hard constraints in uncertain linear systems by reference managing. Automatica. 1998;34:451-461.
11. Gilbert EG, Kolmanovsky I. Nonlinear tracking control in the presence of state and control constraints: A Generalized Reference Governor. Automatica. 2002;38:2063-2073.
12. Gilbert, EG, Kolmanovsky I, Tan KT. Discrete-time reference governors and the nonlinear control of systems with state and control constraints. Int J of Robust and Nonlinear Control. 1995;5:487-504.
13. Badgwell TA. Robust model predictive control of stable linear systems. Int J of Control. 1997;68:797-818.
14. Bemporad A. Reducing conservativeness in predictive control of constrained systems with disturbances. In: Proc. 37th IEEE Conference on Decision and Control; Tampa, FL. 1998.
15. Bemporad A, Borrelli F, Morari M. Min-max control of constrained uncertain discrete-time linear systems. IEEE Trans Automatic Control. 2003;48:1600-1606.
16. Chisci L, Zappa G. Dual mode predictive tracking of piecewise constant references for constrained linear systems. Int J Control. 2003; 76:61-72.
17. Chisci L, Rossiter JA, Zappa G. Systems with persistent disturbances: predictive control with restricted constraints. Automatica. 2001;37: 1019-1028.
18. Kerrigan EC, Maciejowski JM. On Robust Optimization and the Optimal Control of Constrained Linear Systems with Bounded State Disturbances. In: Proc. European Control Conference: Cambridge, U. K.; 2003.
19. Kerrigan EC, Maciejowski JM. Feedback min-max predictive control using a single linear program: Robust stability and the explicit solution. Int J of Robust and Nonlinear Control. 2004;14:395-413.
20. Lee YI, Kouvaritakis B. Constrained receding horizon predictive control for systems with disturbances. Int J Control. 1999;72:1027-1032.
21. Mayne DQ, Langson W. Robustifying Model Predictive Control of Constrained Linear Systems. Electronics Lett. 2001;37:1422-1423.
22. Scokaert POM, Mayne DQ. Min-Max Feedback Model Predictive Control for Constrained Linear Systems. IEEE Trans Automatic Control. 1998;43:1136-1142.
23. Rawlings JB, Meadows ES, Muske KR. Nonlinear Model Predictive Control: a Tutorial and Survey. In: AD-CHEM Conference: Kyoto, Japan; 203-214 1994.
24. Maciwjowski JM. The implicit daisy-chaining property of constrained predictive control. Appl Math and Comp Sci. 1998;8:695-711.
25. Magni L, De Nicolao G, Scattolini R. Output feedback and tracking of nonlinear systems with model predictive control. Automatica. 2001; 1601-1607.
26. Magni L. On robust tracking with non-lineare model predictive control. Int J Control. 2002;75:399-407.
27. Muske KR, Badgwell TA. Disturbance Modeling for Offset-Free Linear Model Predictive Control. J Proc Cont. 2002;12:617-632.
28. Pannocchia G, Rawlings JB. Disturbance Models for Offset-free Model Predictive Control. AIChE J. 2003;49:426-437.
29. Sakizlis V, Dua V, Perkins JD, Pistikopoulos EN. Robust Model-Based Tracking Control using Parametric Programming. Comp & Chem Eng. 2004;28:195-207.
30. Sakizlis V, Kakalis NMP, Dua V, Perkins JD, Pistikopoulos EN. Design of Robust Model-Based Controllers via Parametric Programming. Automatica. 2004;40:189-201.
31. Kolmanovsky I, Gilbert EG. Theory and Computation of Disturbance Invariance Sets for Discrete-Time Linear Systems. Mathematical Problems in Engineering: Theory, Methods and Applications. 1998;4: 317-367.
32. Scokaert POM, Rawllings JB, Meadows ES. Discrete-time Stability with Perturbations: Applications to Model Predictive Control. Automatica. 1997;33:463-470.
33. Kwakernaak H, Sivan R. Linear Optimal Control Systems. Wiley; 1972.
34. Muske KR, Rawlings JB. Model Predictive Control with Linear Models. AIChE J. 1993;39:262-287.
35. Nocedal J, Wright SJ. Numerical Optimization. Springer; 1999.
36. Pannocchia G, Kerrigan EC. Offset-free receding horizon control of constrained linear systems subject to time-varying set points and persistent unmeasured disturbances. Tech. Rep. CUED/F-INFENG/ TR.468 Department of Engineering, University of Cambridge; Cambridge, UK; 2003.
37. Francis BA, Wonham WM. The internal model principle of control theory. Automatica. 1976;12:457-465.
38. Kerrigan EC, Maciejowski JM. Properties of a new parameterization for the control of constrained systems with disturbances. In: Proc. American Control Conference: Boston, MA; 2004.
39. Horn RA, Johnson CR. Matrix Analysis. Cambridge University Press, UK; 1985.
40. Henson MA, Seborg DE. Nonlinear Process Control. Upper Saddle River, New Jersey: Prentice Hall PTR, 1997.
41. Kerrigan EC, Maciejowski JM. Designing model predictive controllers with prioritised constraints and objectives. In: Proc. IEEE Conference on Computer Aided Control System Design: Glasgow: Scotland; 2002.