Discretization of nonlinear models using a modified carleman linearization technique

Proceedings of the American Control Conference

Volumn 5, Issue , 1998, Pages 3084-3088

  Al Tuwaim, Mohammad S ^a   Crisalle, Oscar D ^a   Svoronos, Spyros A ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADJUSTABLE PARAMETERS; CARLEMAN LINEARIZATION; CONTINUOUS STIRRED TANK REACTOR; DISCRETE MODELS; DISCRETE-TIME MODEL; LINEAR COMBINATIONS; NON-LINEAR MODEL; SAMPLING PERIOD;

DIGITAL CONTROL SYSTEMS;

NONLINEAR SYSTEMS;

EID: 0003846351     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.688425     Document Type: Conference Paper

References (10)

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2. Carleman, T., 1932, Application de la theorie des equations integrales lineaires aux systemes d'equations differentielles non lineaires. Acta. Math. 59, 61-87.
3. Chapra, S.C., and Canale, R.P., 1988, Numerical Methods for Engineers. McGraw-Hill, New York.
4. Kazantzis, N., and Kravaris, C, 1993, Sampled-Data Representations of Nonlinear Systems Via Taylor Methods. AIChE Annual Meeting, St. Louis, MO.
5. Kazantzis, N., and Kravaris, C, 1994, System-Theoretic Properties of Sampled-Data Representations of Nonlinear Systems Obtained Via Taylor Methods. Proceedings of the American Control Conference, pp. 1354-1360, Baltimore, MD.
6. Kowalski, A., and Steeb, W.H., 1991, Nonlinear Dynamical Systems and Carleman Linearization. World Scientific.
7. Krener, A., 1974, Linearization and Bilinearization of Control Systems. Proceedings of the Allerton Conference, pp. 834-843, Urbana-Champaign, IL.
8. Svoronos, S.A., Papageorgiou D., and Tsiligiannis, C, 1994, Discretization of Nonlinear Control Systems Via the Carleman Linearization. Chem. Eng. Sci. 49, 3263-3267.
9. Svoronos, S., Stephanopoulos, G., and Aris, R., 1980, Bilinear Approximation of General Nonlinear Dynamic Systems with Linear Input. Int. J. Control 31, 109-126.
10. Tsiligiannis, C, and Lyberatos, G., 1989, Normal Forms, Resonance and Bifurcation Analysis Via Carleman Linearization. J. Math. Anal. Appl. 139, 123-138.