Stability analysis of a multi-model predictive control algorithm with application to control of chemical reactors

Journal of Process Control

Volumn 16, Issue 2, 2006, Pages 81-90

  Özkan, Leyla ^a   Kothare, Mayuresh V ^b  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

^b Lehigh University   (United States)

Author keywords

Hybrid systems; Linear matrix inequalities; Model predictive control; Multiple models; Stability

Indexed keywords

ALGORITHMS; CHEMICAL REACTORS; CLOSED LOOP CONTROL SYSTEMS; COSTS; LYAPUNOV METHODS; STABILITY;

LINEAR MODELS; MULTIPLE MODELS; PREDICTIVE CONTROL ALGORITHMS;

PREDICTIVE CONTROL SYSTEMS;

EID: 27144501095     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2005.06.013     Document Type: Article

References (29)

1. F. Allgöwer A. Zheng Nonlinear Model Predictive Control 2000 Birkhäuser
2. Y. Arkun, A. Banerjee, and N.M. Lakshmanan Self-scheduling MPC using LPV models R. Berber C. Kravaris Nonlinear Model Based Control 1998 Kluwer Academic Publishers The Netherlands 59 84
3. M.S. Branicky Stability of switched and hybrid systems IEEE Conference Decision and Control 1994 Lake Buena Vista Florida, USA 3498 3503
4. M.S. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Automat. Control 43 4 1998
5. Y. Chikkula, J.H. Lee, and B.A. Ogunnaike Dynamically scheduled MPC of nonlinear processes using hinging hyperplane models AIChE J. 44 12 1998 2658 2674
6. J.P. Congalidis, J.R. Richards, and W.H. Ray Feedforward and feedback control of a solution copolymerization reactor AIChE J. 35 6 1989 891 907
7. D. Dougherty, and D. Cooper A practical multiple model adaptive strategy for multivariable model predictive control Control Eng. Pract. 11 2003 649 664
8. D. Dougherty, and D. Cooper A practical multiple model adaptive strategy for single loop model predictive control Control Eng. Pract. 11 2003 141 159
9. F.J. Doyle, H.P. Kwatra, and J.S. Schwaber Dynamic gain scheduled process control Chem. Eng. Sci. 53 15 1998 2675 2690
10. N.E. El-Farra, P. Mhaskar, and P.D. Christofides Uniting bounded control and MPC for stabilization of constrained linear systems Automatica 40 2004 101 110
11. R. Gundala, K.A. Hoo, and M.J. Piovoso Multiple model adaptive control design for a multiple-input multiple output chemical reactor Ind. Eng. Chem. Res. 39 2000 1554 1564
12. A. Hassibi, S. Boyd, Quadratic stabilization and control of piecewise-linear systems, in: Proceedings of the 1998 American Control Conference, Philadelphia, PA, pp. 3659-3664, 1998.
13. M.V. Kothare, B. Mettler, M. Morari, P. Bendotti, and C.M. Falinower Level control in the steam generator of a nuclear power plant IEEE Trans. Control Syst. Technol. 8 1 2000 55 69
14. L.C.O. Lopes, Reference system nonlinear model predictive control, PhD thesis, Lehigh University, 2000.
15. D.Q. Mayne, J.B. Rawlings, C.V. Rao, and P.O.M. Scokaert Constrained model predictive control: stability and optimality Automatica 36 6 2000 789 814
16. A.S. Morse Supervisory control of families of linear set-point controllers-Part 1: Exact matching IEEE Trans. Automat. Control 41 10 1996 1413 1431
17. K.S. Narendra, and J. Balakrishnan Improving transient response of adaptive control systems using multiple models and switching IEEE Trans. Automat. Control 39 9 1994 1861 1866
18. K.S. Narendra, and J. Balakrishnan Adaptive control using multiple models IEEE Trans. Automat. Control 42 2 1997 171 187
19. L. Özkan, M.V. Kothare, and C. Georgakis Control of a solution copolymerization reactor using multi-model predictive control Chem. Eng. Sci. 58 2003 1207 1221
20. C.R. Porfírio, E.A. Neto, and D. Odloak Multi-model predictive control of an industrial c3/c4 splitter Control Eng. Pract. 11 2003 765 779
21. S.J. Qin, V. Martinez, and B.A. Foss An interpolating model predictive control strategy with application to waste treatment plant Comput. Chem. Eng. 21 1997 S881 S886
22. A. Rantzer, and M. Johansson Computation of piecewise quadratic Lyapunov functions for hybrid systems IEEE Trans. Automat. Control 43 4 1998 555 559
23. J.A. Rodriguez, J.A. Romagnoli, and G. Goodwin Supervisory multiple regime control J. Process Control 13 2003 177 191
24. W.J. Rugh, and J.S. Shamma A survey of research on gain scheduling Automatica 36 10 2000 1401 1425
25. K. Schott, and B.W. Bequette Control of chemical reactors using multiple-model adaptive control IFAC DYCORD 95 1995 Helsingor Denmark 345 350
26. Z. Tian, and K.A. Hoo Transition control using a state-shared model approach Comput. Chem. Eng. 27 2003 1641 1656
27. Z. Wan, and M.V. Kothare Efficient scheduled stabilizing model predictive control for constrained nonlinear systems Int. J. Robust Nonlinear Control 13 3-4 2003 331 346
28. Z. Wan, and M.V. Kothare Efficient scheduled stabilizing output feedback model predictive control for constrained nonlinear systems IEEE Trans. Automat. Control 49 7 2004 1172 1177
29. C. Yu, R.J. Roy, H. Kaufman, and B.W. Bequette Multiple-model adaptive predictive control of mean arterial pressure and cardiac output IEEE Trans. Biomed. Eng. 39 8 1992 765 777