Application of nonlinear dynamic analysis in the identification and control of nonlinear systems - II. More complex dynamics

Journal of Process Control

Volumn 8, Issue 1, 1998, Pages 17-34

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

CONTINUOUS STIRRED TANK REACTORS (CSTR); TABULATED MODEL STRUCTURES;

NONLINEAR CONTROL SYSTEMS;

EID: 0032003181     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-1524(97)00022-X     Document Type: Article

References (14)

1. 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.
2. Billings, S. A., Identification of nonlinear systems - a survey. IEE Proceedings, 1980, 127, 272-285.
3. Scott, G., Applications of artificial neural networks to process modelling and control. Preliminary Report, University of Wisconsin-Madison, 1991.
4. Hernandez, E. and Arkun, Y., Control of nonlinear systems using polynomial ARMA models. AIChE Journal, 1993, 39, 446-460.
5. 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.
6. 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.
7. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York. 1983.
8. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer-Verlag, New York, 1990.
9. Golubitsky, M. and Schaeffer, D. G., Singularities and Groups in Bifurcation Theory, Vol I. Springer-Verlag, New York, 1985.
10. Planeaux, J. B. and Jensen, K. F., Bifurcation phenomena in CSTR dynamics: a system with extraneous thermal capacitance. Chemical Engineerng Science, 1986, 41, 1497-1523.
11. Kravaris, C. and Sorouch, M., Synthesis of multivariable nonlinear controllers by input/output linearization. AIChE Journal, 1990, 36, 249-264.
12. Read, N. K., The Design of Controllers for Nonlinear Systems Via Bifurcation Techniques. PhD thesis, University of Wisconsin-Madison, 1994.
13. Symbolics. MACSYMA Reference Manual, 1989. Version 13.
14. Carr, J., Applications of Centre Manifold Theory. Springer Verlag, New York, 1981.