Robust model predictive control design using a generalized objective function

Computers and Chemical Engineering

Volumn 27, Issue 7, 2003, Pages 965-982

  Wang, D ^a   Romagnoli, J A ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Model predictive control; Robust identification; Robustness

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL EQUIPMENT; PARAMETER ESTIMATION; PREDICTIVE CONTROL SYSTEMS; PROBABILITY DENSITY FUNCTION; ROBUSTNESS (CONTROL SYSTEMS);

MODEL PREDICTIVE CONTROL (MPC);

CHEMICAL ENGINEERING;

PREDICTIVE CONTROL;

ARTICLE; CHEMICAL ENGINEERING; COST; DENSITY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PROBABILITY; PROCESS DESIGN; PROCESS MODEL;

EID: 0038633532     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(03)00007-3     Document Type: Article

References (35)

1. Badgwell, T. A. (1997a). A robust model predictive control algorithm for stable linear plants. Proceedings of ACC (pp. 1618-1622). Albuquerque, NM.
2. Badgwell, T. A. (1997b). Robust model predictive control of stable linear systems. International Journal of Control 68 (4), 797-818.
3. Chikkula, Y., & Lee, J. H. (1995). Robust model predictive control of nonlinear systems using input-output models. Proceedings of ACC (pp. 2205-2209).
4. 1-norm model predictive control. American Institute of Chemical Engineering Journal 39 (12), 1954-1965.
5. Genceli, H., & Nikolaou, M. (1995). Design of robust constrained model predictive control with Volterra series. American Institute of Chemical Engineering Journal 41, 2098-2107.
6. Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J., & Stahel, W.A. (1986). Robust Statistics. John Wiley & Sons, New York.
7. Hrissagis, K., & Crisalle, O. D. (1996). Mixed objective optimization for robust predictive controller synthesis. Chemical Process Control-CPC-V (pp. 343-346).
8. Huber, P. J. (1981). Robust statistics. New York: Wiley.
9. Keerthi, S. S., & Gilbert, E. G. (1988). 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 57, 265-293.
10. Kwon, W. H., & Pearson, A. E. (1977). A modified quadratic cost problem and feedback stabilization of a linear system. IEEE Transactions on Automatic Control 22, 838-842.
11. Lee, J. H., & Cooley, B. (1996). Recent advances in model predictive control and other related areas. Chemical Process Control-CPC-V (pp. 201-216). Tahoe City, CA.
12. Lee, J. H., Morari, M., & Garcia, C. (1994a). State-estimation-based model predictive control with on-line robustness tuning parameters. Proceedings of ACC (pp. 2373 -2378).
13. Lee, J. H., Morari, M., & Garcia, C. (1994b). State space interpretation of model predictive control. Automatica 30 (4), 707-717.
14. Li, S., Lim, K. Y., & Fisher, D. G. (1989). A state space interpretation of model predictive control. American Institute of Chemical Engineering Journal 35, 241-249.
15. Maurath, P. R., Mellichamp, D. A., & Seborg, D. E. (1988). Predictive controller design for STSO systems. Industrial Engineering and Chemical Research 27, 956-963.
16. Mayne, D. Q. (1996). Nonlinear model predictive control: an assessment. Chemical Process Control-CPC-V. Tahoe City, CA.
17. Mayne, D. Q., & Michalska, H. (1990). Receding horizon control of nonlinear systems. IEEE Transactions on Automatic Control 35, 814-824.
18. Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000). Constrained model predictive control: stability and optimality. Automatica 36, 789-814.
19. Meadows, E. S., Henson, M. A., Eaton, J. W., & Rawlings, J. B. (1995). Receding horizon control and discontinuous state feedback stabilization. International Journal of Control 61, 1217-1229.
20. Michalska, H., & Mayne, D. Q. (1993). Robust receding horizon control of constrained nonlinear system. IEEE Transactions on Automatic Control 38, 1623-1633.
21. Morari, M., & Lee, J.H. (1999). Model predictive control: past, present and future. Computers and Chemical Engineering 23, 667-682.
22. Nicolao, G. D., Magni, L., & Scattolini, R. (1997). Stability predictive control of nonlinear ARX models. Automatica 33 (9), 1691-1697.
23. Ogunnaike, B. A. (1986). Dynamic matrix control: a non-stochastic, industrial process control technology with parallels in applied statistics. Industrial Engineering and Chemical Fundamentals 25, 712-718.
24. Ogunnaike, B. A., & Ray, W. H. (1994). Process dynamics, modeling, and control. Oxford, New York: Oxford University Press.
25. Polak, E., & Yang, I. H. (1993). Moving horizon control of linear system with input saturation and plant uncertainty, part 1 and 2. International Journal of Control 58, 613 -663.
26. Ralhan, S., & Badgwell, T. A. (2000). Robust control of stable linear systems with continuous uncertainty. Computers and Chemical Engineering 24/11, 2533-2544.
27. Rawlings, J. B., & Muske, K. R. (1993). Stability of constrained receding horizon control. IEEE Transactions on Automatic Control 38, 1512-1516.
28. Scokaert, P. O. M., & Mayne, D. Q. (1998). Min-max feedback model predictive control for constrained linear systems. IEEE Transactions on Automatic Control 43 (8), 1136-1142.
29. Stephanopoulos, G. (1984). Chemical process control: an introduction to theory and practice. Englewood Cliffs, NJ: Prentice-Hall.
30. Vuthandam, P., Genceli, H., & Nikolaou, M. (1995). Performance bounds for robust quadratic dynamic matrix control with end condition. American Institute of Chemical Engineering Journal 41, 2083-2097.
31. Wang, D., Safavi, A. A., & Romagnoli, J. A. (2000). Wavelet based adaptive robust M-estimator for nonlinear system identification. American Institute of Chemical Engineering Journal 46 (8), 1605-1607.
32. Zheng, Z. Q. (1995). Robust control of systems subject to constraints. Ph.D. thesis. California Institute of Technology.
33. Zheng, A. (1998). Robust stability analysis of constrained model predictive control. Proceedings of ACC (pp. 786-790).
34. Zheng, Z. Q., & Morari, M. (1993). Robust stability of constrained model predictive control. Proceedings of ACC (pp. 379-383). San Francisco.
35. Zheng, A., & Morari, M. (1995). Stability of model predictive control with mixed constraints. IEEE Transactions on Automatic Control 40 (10), 1818-1823.