Nonlinear model predictive control of a simulated multivariable polymerization reactor using second-order Volterra models

Automatica

Volumn 32, Issue 9, 1996, Pages 1285-1301

  Maner, Bryon R ^a   Doyle III, Francis J ^a   Ogunnaike, Babatunde A ^b   Pearson, Ronald K ^b  

^a PURDUE UNIVERSITY   (United States)

^b DUPONT COMPANY   (United States)

Author keywords

Inverse systems; Nonlinear control systems; Predictive control; Process control; Process models

Indexed keywords

ALGORITHMS; INVERSE PROBLEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR PROGRAMMING; PREDICTIVE CONTROL SYSTEMS; PROCESS CONTROL;

LINEAR MODEL PREDICTIVE CONTROL SCHEME; SECOND ORDER VOLTERRA MODEL PREDICTIVE CONTROL SCHEME;

NONLINEAR CONTROL SYSTEMS;

EID: 0030233075     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00086-6     Document Type: Article

References (30)

1. 0. J. Polym. Sci., XIV, 463-476.
2. Biesenberger, J. A. and D. H. Sebastian (1983). Principles of Polymerization Engineering. John Wiley & Sons, New York.
3. Carnahan, B., H. A. Luther and J. O. Wilkes (1969). Applied Numerical Methods. John Wiley & Sons, New York.
4. Choi, K. Y. (1986). Analysis of steady state of free radical solution polymerization in a continuous stirred tank reactor. Polymer Engng. Sci., 26(14), 975-981.
5. Chow, T., E. Eskow and R. Schnabel (1994). Algorithm 739: A software package for unconstrained optimization using tensor methods. ACM Trans. Math. Software, 20(4), 518-530.
6. Congalidis, J. P., J. R. Richards and W. H. Ray (1989). Feedforward and feedback control of a solution copolymerization reactor. AIChE J., 35(6), 891-907.
7. Daoutidis, P., M. Soroush and C. Kravaris (1990). Feedforward/feedback control of multivariable nonlinear processes. AIChE J., 36(10), 1471-1484.
8. Doyle III, F. I, B. A. Ogunnaike and R. K. Pearson (1995). Nonlinear model-based control using second-order Volterra models. Automatica, 31(5), 697-714.
9. Economou, C. G. (1985). An operator theory approach to nonlinear controller design. PhD thesis, Chemical Engineering, California Institute of Technology, Pasadena, CA.
10. Economou, C. G. and M. Morari (1985). Newton control laws for nonlinear controller design. In Proc. IEEE Conf. on Decision and Control, Fort Lauderdale, FL, pp. 1361-1366.
11. Garcia, C. E. ( 1984). Quadratic dynamic matrix control of nonlinear processes. An application to a batch reaction process. AIChE Annual Meeting, San Francisco, CA.
12. Gattu, G. and E. Zafiriou (1992). Nonlinear quadratic dynamic matrix control with state estimation. Ind. Engng Chem. Res., 31, 1096-1104.
13. Genceli, H. and M. Nikolaou (1995). Design of robust constrained model-predictive controllers with Volterra series. AIChE J., 41(9), 2098-2107.
14. Hernández, E. (1992). Control of nonlinear systems using input-output information. PhD thesis, Chemical Engineering, Georgia Institute of Technology, Atlanta, GA.
15. Hernández, E. and Y. Arkun (1993). Control of nonlinear systems using polynomial ARMA models. AIChE J., 39(3), 446-460.
16. Hidalgo, P. M. and C. B. Brosilow (1990). Nonlinear model predictive control of styrene polymerization at unstable operating points. Computers Chem. Engng, 14(4/5), 481-494.
17. Jaisinghani, R. and W. H. Ray (1977). On the dynamic behaviour of a class of homogeneous continuous stirred tank polymerization reactors. Chem. Engng Sci., 32, 811-825.
18. Lee, J. H. and N. L. Ricker (1993). Extended Kalman filter based nonlinear model predictive control. In Proc. Am. Control Conf., San Francisco, CA. pp. 1895-1899.
19. Li, W. C. and L. T. Biegler (1988). Process control strategies for constrained nonlinear systems. Ind. Engng Chem. Res., 27, 1421-1433.
20. Li, W. C. and L. T. Biegler (1989). Multistep, Newton-type control strategies for constrained, nonlinear processes. Chem. Engng Res. Des., 67, 562-577.
21. Maner, B. R. (1993). Nonlinear model predictive control with second order Volterra models. Master's thesis, Chemical Engineering Dept, Purdue University, West Lafayette, IN.
22. Pearson, R. K., B. A. Ogunnaike and F. J. Doyle III (1996). Identification of discrete convolution models for nonlinear processes. IEEE Trans. Acoustics, Speech, and Signal Processing, in press.
23. Pearson, R. K., B. A. Ogunnaike and F. J. Doyle III (n.d.). Second-order Volterra models for chemical processes, Part I. In preparation.
24. Ricker, N. L. (1985). Use of quadratic programming for constrained internal model control. Ind. Engng Chem. Process Des. Dev., 24, 925-936.
25. Ricker, N. L. and J. H. Lee (1995). Nonlinear model predictive control of the Tennessee Eastman challenge process. Computers Chem. Engng, 19(9), 961-981.
26. Rugh, W. J. (1981). Nonlinear System Theory - The Volterra/Wiener Approach. The Johns Hopkins University Press, Baltimore, MD.
27. Schmidt, A. D. and W. H. Ray (1981). The dynamic behavior of continuous polymerization reactors - I Isothermal solution polymerization in a CSTR. Chem. Engng Sci., 36, 1401-1410.
28. Timm, D. C. and J. W. Rachow (1974). Description of polymerization dynamics by using population density. In H. M. Hulburt (Ed.), Chemical Reaction Engineering - II, Advances in Chemistry Series 133. American Chemical Society, pp. 122-136.
29. Zames, G. (1966). On the input-output stability of time-varying nonlinear feedback systems, part I: Conditions derived using concepts of loop gain, conicity, and positivity. IEEE Trans. Automat. Control, AC-11(2), 228-238.
30. Zheng, Q. and E. Zafiriou (1993). Stability analysis of inverse Volterra series. Presented at the AIChE Annual Meeting, St. Louis, MO.