Control of constrained dynamic systems

European Journal of Control

Volumn 7, Issue 2-3, 2001, Pages 87-99

  Mayne, D Q ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Constrained control; Model predictive control; Polytopic methods; Robustness; Stability

Indexed keywords

EID: 0002075039     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.7.87-99     Document Type: Article

References (44)

1. Allgöwer F, Badgwell TA, Qin JS, Rawlings JB, Wright SJ. Nonlinear predictive control and moving horizon estimation - an introductory overview. In: Frank PM (ed.). Advances in control: highlights of ECC'99. Springer, London 1999, pp 391-449
2. Bemporad A, Borelli F, Morari M. The explicit solution of constrained LP-based receding horizon control. In: Proceedings of the 39th IEEE conference on decision and control. Sydney 2000, p 632
3. Bemporad A, Morari M, Dua V, Pistikopoulos E. The explicit linear quadratic regulator for constrained systems. Technical Report AUT99-16, Automatic Control Laboratory, ETH-Swiss Federal Institute of Technology, 1999
4. Bertsekas DP, Rhodes IB. On the minimax reachability of target sets and target tubes. Automatica 1971; 7: 233-247
5. Bitmead RR, Gevers M, Wertz V. Adaptive Optimal Control - The Thinking Man's GPC. Prentice Hall Int., 1990
6. Bitsoris G. On the positive invariance of polyhedral sets for discrete-time systems. Systems & Control Letters 1988; 11: 243-248
7. Bitsoris G. Positively invariant polyhedral sets of discrete-time linear systems. International Journal of Control 1988; 47(6): 1713-1726
8. Blanchini F. Control synthesis for discrete-time linear systems with control and state bounds in the presence of disturbances. In: Proceedings 30th IEEE Conference on decision and control. 1990, pp 3464-3467
9. Blanchini F, Miani S. Any domain of attraction for a linear constrained system is a tracking domain of attraction. SIAM Journal of Control and Optimization 2000; 38(3): 971-994
10. Blanchini F, Mian S. Any domain of attraction for a linear constrained system is a tracking domain of attraction. In: Proceedings 39th IEEE Conference on decision and control. Sydney 2000
11. Chen H, Allgöwer F. A quasi-infinite predictive control scheme for constrained nonlinear systems. Automatica 1998; 14(10): 1205-1217
12. Chmielewski D, Manousiouthakis V. On constrained infinite-time linear quadratic optimal control. Systems & Control Letters 1996; 29: 121-129
13. De Doná JA, Goodwin GG. Elucidation of the state-space regions wherein model predictive and anti-windup strategies achieve identical control policies. Technical Report EE9944. The University of Newcastle, Australia 1999
14. De Nicolao G, Magni L, Scattolini R. Stability and robustness of nonlinear model predictive control. In: Frank Allgöwer, Alex Zheng (eds). Nonlinear model predictive control. Birkhäauser Verlag, Basle 2000, pp 3-22
15. Gilbert EC, Kolmanovsky I, Tan KT. Discrete-time reference governors and the nonlinear control of systems with state and control constraints. Journal of Robust and Nonlinear Control 1995; 5: 487-504
16. Gilbert EG, Tan KT. Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control 1991; AC-36: 1008-1020
17. Ali Jadbabaie, Jie Yu, John Hauser. Stabilizing receding horizon control of nonlinear systems: a control Lyapunov function approach. In Proceedings of American Control Conference, 1999
18. Keerthi SS, Gilbert EG. Computation of minimum-time feedback control laws for systems with state-control constraints. IEEE Transactions on Automatic Control 1987; AC-32: 432-435
19. Keerthi SS, Gilbert EG. Optimal, infinite horizon feedback laws for a general class of constrained discrete time systems: Stability and moving-horizon approximations. Journal of Optimization Theory and Applications 1988; 57: 265-293
20. Kerrigan EC. Robust constraint satisfaction: invariant sets and predictive control. PhD thesis, University of Cambridge, 2000
21. Kolmanovsky I, Gilbert EC. Maximal output admissible sets for discrete-time systems with disturbance inputs. In: Proceedings of the American Control Conference. Seattle, June 1995
22. Kolmanovsky I, Gilbert EC. Multi-modal regulators for systems with state and control constraints and disturbance inputs. In: Morse, AS (ed.). Control using logic-based switching: lecture notes in control and information sciences. Springer-Verlag 1996, pp 118-127
23. Kolmanovsky I, Gilbert EC. Theory and computation of disturbance invariant sets for discrete-time linear systems. Mathematical Problems in Engineering 1998; 4: 317-367
24. Kothare MV, Balakrishnan V, Morari M. Robust constrained model predictive control using linear matrix inequalities. Automatica 1996; 32(10): 1361-1379
25. Langson W, Mayne DQ. Robust model predictive control using tubes. Technical Report PCS 2000/9/1, Department of Electrical and Electronic Engineeering, Imperial College, September 2000
26. Magni L, Sepulchre R. Stability margins of nonlinear receding-horizon control via inverse optimality. Systems & Control Letters 1997; 32: 241-245
27. Mayne DQ, De Doná J, Goodwin GC. Improved stabilising conditions for model predictive control. In: Proceedings of the 39th IEEE Conference on decision and control. Sydney, Australia, December 2000
28. Mayne DQ, Rawlings JB, Rao CV, Scokaert POM. Constrained model predictive control: stability and optimality. Automatica, 2000; 36: 789-814 (Survey paper)
29. Mayne DQ, Schroeder WR. Robust time-optimal control of constrained linear systems. Automatica 1997; 33(12): 2103-2118
30. Michalska H, Mayne DQ. Robust receding horizon control of constrained nonlinear systems. IEEE Transactions on Automatic Control 1993; 38: 1623-1632
31. Miller Robert H, Ilya Kolmanovsky, Gilbert Elmer C, Wahabaugh Peter D. Constrained linear systems: a case study. IEEE Control Systems Magazine February 2000; 23-32
32. Morari M. Mathematical programming approach to hybrid systems, analysis and control. In: 25 Years of Nonlinear Control at Ecole des Mines de Paris, http://cas.ensmp.fr/25ans, 2001
33. Poubelle MA, Bitmead RR, Gevers M. Fake algebraic Riccati techniques and stability. IEEE Transactions on Automatic Control 1988; AC-31: 379-381
34. Qin SJ, Badgwell TA. An overview of nonlinear model predictive control applications. In: Frank Allgöwer, Alex Zheng (eds). Nonlinear model predictive control. Birkhäuser Verlag Basle, 2000, pp 369-392
35. Rawlings JB, Muske KR. Stability of constrained receding horizon control. IEEE Transactions on Automatic Control AC-1993; 38(10): 1512-1516
36. Richalet J, Rault A, Testud JL, and Papon J. Algorithmic control of industrial processes. In: Proceedings of the 4th IFAC Symposium on Identification and System Parameter Estimation. 1976, pp 1119-1167
37. Rossiter JA, Kouvaritakis B, Rice MJ. A numerically robust state-space approach to stable-predictive control strategies. Automatica 1998; 34(1): 65-73
38. Scokaert POM, Mayne DQ. Min-max feedback model predictive control for constrained linear systems. IEEE Transactions on Automatic Control 1998; 43(8): 1136-1142
39. Scokaert POM, Mayne DQ, Rawlings JB. Suboptimal model predictive control (feasibility implies stability). IEEE Transactions on Automatic Control 1999; 44(3): 648-654
40. Scokaert POM, Rawlings JB. Infinite horizon linear quadratic control with constraints. In Proceedings of the 13th IFAC triennial world congress, vol. M. San Francisico, June 1996, pp 109-114
41. Seron Maria M, De Doná José A, Goodwin Graham C. Global analytical model predictive control with input constraints. In: Proceedings of the 39th IEEE Conference on decision and control, Sydney, Australia, December 2000
42. Seron Marià M, Goodwin Graham C, De Doná José A. Geometry of model predictive control for constrained linear systems. Technical Report EE0031, The University of Newcastle, Australia 2000
43. Shamma Jeff S, Dapeng Xiong. Linear non-quadratic optimal control. IEEE Transactions on Automatic Control 1997; 42: 875-879
44. Veres SM, Numerical error control in polytope computations. Journal of Optimization Theory and Applications, 2001 (accepted)