Application of nonlinear dynamic analysis to the identification and control of nonlinear systems - III. n-Dimensional systems

Journal of Process Control

Volumn 8, Issue 1, 1998, Pages 35-46

  Read, Nolan K ^a   Ray, W Harmon ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

CSTR; Nonlinear modelling and control; Normal forms

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; POLYNOMIALS; PROCESS CONTROL;

CONTINUOUS STIRRED TANK REACTORS (CSTR); TWO DIMENSIONAL NORMAL FORM MODELS;

NONLINEAR CONTROL SYSTEMS;

EID: 0031997469     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-1524(97)00023-1     Document Type: Article

References (21)

1. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York, 1983.
2. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer-Verlag, New York, 1990.
3. Read, N. K. and Ray, W. H., Application of nonlinear dynamic analysis in the identification and control of nonlinear systems I. Simple dynamics. Journal of Process Control, 1997, 8, 1-15.
4. Read, N. K. and Ray, W. H., Application of nonlinear dynamic analysis in the identification and control of nonlinear systems H. More complex dynamics. Journal of Process Control, 1997, 8, 17-34.
5. Bartee, J. F. and Georgakis, C., Bilinear identification of nonlinear processes. Preprints, IFAC Symposium, ADCHEM '94, Advanced Control of Chemial Processes, 25-27 May 1994, Kyoto, Japan
6. Eskinat, E., Johnson, S. H. and Luyben, W. L., Use of Hammerstein models in identification of nonlinear systems. AIChE Journal, 1991, 37, 255-268.
7. Hernandez, E. and Arkun, Y., Control of nonlinear systems using polynomial ARMA models. AIChE Journal, 1993, 39, 446-460.
8. Ogunnaike, B. A., Pearson, R. K., Samardzija, N. and Bomberger, J. D., Low order empirical modeling for nonlinear systems. Preprints, IFAC Symposium, ADCHEM '94 Advanced Control of Chemical Processes, 25-27 May 1994, Kyoto, Japan.
9. Pottmann, M. and Seborg, D. E., Identification of non-linear processes using reciprocal multiquadric functions. Journal of Process Control, 1992, 2, 189-203.
10. Raich, A., Wu, X. and Cinar, A., Approximate dynamic models for chemical processes: a comparative study of neural networks and nonlinear time series modeling techniques. AIChE Conference, Los Angeles, CA, 1991.
11. Scott, G., Applications of artificial neural networks to process modelling and control. PhD thesis, University of Wisconsin-Madison, 1993.
12. Kravaris, C. and Sorouch, M., Synthesis of multivariable nonlinear controllers by input/output linearization. AIChE Journal, 1990, 36, 249-264.
13. Balakotaiah, V. and Luss, D., Exact steady-state multiplicity criteria for two consecutive or parallel reactions in lumped-parameter systems. Chemical Engineering Science, 1982, 37, 433-445.
14. Berdouzi, B., Maximal multiplicity and bifurcation in a CSTR with two consecutive first order reactions. PhD thesis. University of Missouri-Columbia, 1987.
15. Byeon, K. H. and Chung, I. J., Analysis of the multiple hopf bifurcation phenomena in a CSTR with two consecutive reactions - the singularity theory approach. Chemical Engineering Science, 1989, 44, 1735-1742.
16. Chemburkar, R. M., Rössler, R. M. and Varma, A., Dynamics of consecutive reactions in a CSTR - a case study. Chemical Enginneering Science, 1987, 42, 1507-1509.
17. Jorgensen, D. V. and Aris, R., On the dynamics of a stirred tank with consecutive reactions. Chemical Engineering Science, 1983, 38, 45-53.
18. Jorgensen, D. V., Farr, W. W. and Aris, R., More on the dynamics of a stirred tank with consecutive reactions. Chemical Engineering Science, 1984, 39, 1741-1752.
19. Kahlert, C., Rössler, O. E. and Varma, A., Chaos in a continuous stirred tank reactor with two consecutive first-order reactions, one exo-, one endothermic. In Modelling of Chemical Reacting Systems, Ed: K. H. Ebert, P. Deuflhard, W. Jaeger. Springer-Verlag, New York, 1981, Vol 18, pp. 355-365.
20. Read, N. K., The design of controllers for nonlinear systems via bifurcation techniques. PhD thesis, University of Wisconsin-Madison, 1994.
21. Garbow, B. S., Hillstrom, K. E. and Morse, J. J., Minpack. Argonne National Labs 1980.