Shortest-prediction-horizon non-linear model-predictive control with guaranteed asymptotic stability

International Journal of Control

Volumn 80, Issue 10, 2007, Pages 1533-1543

  Panjapornpon, C ^a,b   Soroush, M ^a  

^a Drexel University   (United States)

^b KASETSART UNIVERSITY   (Thailand)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHEMICAL REACTORS; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; LYAPUNOV METHODS; MATHEMATICAL MODELS;

OUTPUT REGULATION; STEADY STATES;

PREDICTIVE CONTROL SYSTEMS;

EID: 34648814065     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170601186200     Document Type: Article

References (21)

1. H. Chen and F. Allgower, "A. quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability", Automatica, 34, pp. 1205-1217, 1998.
2. S.L. de Oliveira, M. Kothare and M. Morari, "Contractive model predictive control, for constrained nonlinear systems", IEEE Trans. Auto. Contr., 45, pp. 1053-1071, 2000.
3. F.J. Doyle, F. Allgower and M. Morari, "A normal form approach to approximate input-output linearization for maximum phase non-linear SISO systems", IEEE Trans. Auto. Contr., 41, pp. 305-309, 1996.
4. N.H. El-Farra and P.D. Christofides, "Coordinating feedback and switching for control of hybrid nonlinear processes", AIChE J., 49, pp. 2079-2098, 2003.
5. N.H. El-Farra, P. Mhaskar and P.D. Christofides, "Uniting bounded control and MPC for stabilization of constrained linear systems", Automatica, 40, pp. 101-110, 2004.
6. A. Isidori, "A tool for semiglobal, stabilization of uncertain non-minimum-phase nonlinear systems via output feedback", IEEE Trans. Auto. Contr., 45, pp. 1817-1827, 2000.
7. J.M. Kanter, M. Soroush and W.D. Seider, "Nonlinear controller design for input-constrained, multivariable processes", Ind. Eng. Chem. Res., 41, pp. 3735-3744, 2002.
8. N. Kazantzis and C. Kravaris, "Energy-predictive control: a new synthesis approach for nonlinear process control", Chem. Eng. Sci., 54, pp. 1697-1709, 1999.
9. C. Kravaris and P. Daoutidis, "Nonlinear state feedback control of second-order nonminimum-phase nonlinear systems", Comput. & Chem. Engin., 14, pp. 439-449, 1990.
10. Y.D. Lin and E.D. Sontag, "A universal formula for stabilization with bounded controls", Systems & Contr. Letters, 16, pp. 393-397, 1991.
11. D.Q. Mayne and H. Michalska, "Receding horizon control, of nonlinear systems", IEEE Trans. Automat. Contr., 35, pp. 814-824, 1990.
12. R.B. McLain, M.J. Kurtz and M.A. Henson, "Habituating control for nonsquare nonlinear processes", Ind. Eng. Chem. Res., 35, pp. 4067-4077, 1996.
13. P. Mhaskar, N.H. El-Farra and P.D. Christofides, "Hybrid predictive control, of process systems", AIChE J., 50, pp. 1242-1259, 2004.
14. P. Mhaskar, N.H. El-Farra and P.D. Christofides, "Predictive control of switched nonlinear systems with scheduled mode transitions", IEEE Trans. Automat. Contr., 50, pp. 1670-1680, 2005.
15. C. Panjapornpon, M. Soroush and W.D. Seider, "Model-based controller design for unstable, non-minimum-phase, nonlinear processes", Ind. Eng. Chem. Research, 45, pp. 2758-2768, 2006.
16. P.O.M. Scokaert, D.Q. Mayne and J.B. Rawlings, "Suboptimal model predictive control (feasibility implies stability)", IEEE Trans. Auto. Contr., 44, pp. 648-654, 1999.
17. M. Soroush and C. Kravaris, "A continuous-time formulation of nonlinear model predictive control", Proc. of American Contr. Conf., vol. 2, pp. 1561-1567, Chicago, IL, June 24-26, 1992.
18. M. Soroush, "Nonlinear state-observer design with application to reactors", Chem. Eng. Sci., 52, pp. 387-404, 1997.
19. M. Soroush and H.M. Soroush, "Input-output linearizing nonlinear model predictive control", Int. J. Contr., 68, pp. 1449-1473, 1997.
20. R.A. Wright and C. Kravaris, "Nonminimum-phase compensation for nonlinear processes", AIChE J., 38, pp. 26-40, 1992.
21. A. Zheng and M. Morari, "Stability of model predictive control, with mixed constraints", IEEE Trans. Auto. Contr., 40, pp. 1818-1.823, 1995.