Application of nonlinear dynamic analysis in the identification and control of nonlinear systems - I. Simple dynamics

Journal of Process Control

Volumn 8, Issue 1, 1998, Pages 1-15

  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

ALGORITHMS; CONTROL NONLINEARITIES; IDENTIFICATION (CONTROL SYSTEMS); LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; POLYNOMIALS; PROCESS CONTROL; VECTORS;

CONTINUOUS STIRRED TANK REACTORS (CSTR);

NONLINEAR CONTROL SYSTEMS;

EID: 0031997394     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-1524(97)00021-8     Document Type: Article

References (27)

1. Biegler, L. T. and Rawlings, J. B., Optimization approaches to nonlinear model predictive control. In Chemical Process Control - CPCIV, eds Y. Arkun and W. H. Ray. CACHE, 543-571 Austin, TX. 1991.
2. Kravaris, C. and Arkun, Y. Geometric nonlinear control - An overview. In Chemical Process Control - CPCIV, eds. Y. Arkun and W. H. Ray, CACHE, 477-515 Austin, TX. 1991.
3. 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.
4. Bendat, J. S., Nonlinear System Analysis and Identification from Random Data. John Wiley and Sons, New York, 1990.
5. Billings, S. A., Identification of nonlinear systems - a survey. IEE Proceedings, 1980, 127, 272-285.
6. Unbehauen, H. and Rao, G. P., Identification of Continuous Systems. North-Holland, New York, 1987.
7. Hernandez, E. and Arkun, Y., Control of nonlinear systems using polynomial ARMA models. AIChE Journal, 1993, 39, 446-460.
8. Scott, G., Applications of artificial neural networks to process modelling and control. Preliminary Report. University of Wisconsin-Madison, 1991.
9. Paolini, E., Romagnoli, J. A., Desages, A. C. and Palazoglu, A., Approximate models for control of nonlinear systems. Chemical Engineering Science, 1992, 47, 1161-1171.
10. Read, N. K. and Ray, W. H., Modelling of nonlinear systems using normal forms. ACC Conference. San Francisco, 1993.
11. Read, N. K. and Ray, W. H., Application of nonlinear dynamic analysis in the identification and control of nonlinear systems. AIChE Conference, Miami, FL, 1992.
12. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York, 1983.
13. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer-Verlag, New York, 1990.
14. Takens, F., Singularities of vector fields. Publ. Math. Inst. Hautes Etudes Sc., 1974, 43, 47-100.
15. Carr. J., Applications of Centre Manifold Theory. Springer-Verlag, New York, 1981.
16. Razón, L. F. and Schmitz, R. A., Multiplicities and instabilities in chemically reacting systems - a review. Chemical Engineering Science, 1987, 42, 1005-1047.
17. Schmitz, R. A., Multiplicity, stability, and sensitivity of states in chemically reacting systems - a review. In Adv. Chem. Ser. 148, American Chemical Society, 1975, pp. 156-211.
18. Read, N. K., The design of controllers for nonlinear systems via bifurcation techniques. PhD thesis. University of Wisconsin-Madison, 1994.
19. Uppal, A., Ray, W. H. and Poore, A. B., On the dynamic behavior of continuous stirred tank reactors. Chemical Engineering Science, 1974, 29, 967-985.
20. Garbow, B. S., Hillstrom, K. E. and Morse, J. J., Minpack. Argonne National Labs, 1980.
21. Process Control Group, University of Wisconsin. CONSYD, Computer-Aided Control System Design, 1989.
22. Petzold, L. R., DDASSL, differential/algebraic system solver. Sandia National Laboratories, 1983.
23. Henson, M. A. and Seborg, D. E., Input-output linearization of general nonlinear processes. AIChE Journal, 1990, 36, 1753-1757.
24. Kravaris, C. and Sorouch, M., Synthesis of multivariable nonlinear controllers by input/output linearization. AIChE Journal, 1990, 36, 249-264.
25. Slotine, J. E. and Li, W., Applied Nonlinear Control. Prentice Hall, Englewood Cliffs, NJ, 1991.
26. Kaspar, M. H., Model identication for chemical process control. PhD thesis. University of Wisconsin-Madison, 1992.
27. Hunt, L. R., Su, R. and Meyer, G.. Global transformations of nonlinear systems. IEEE Transactions on Automatic Control, 1983, 28, 24-31.