Reconstruction of linear and non-linear continuous-time system models from input/output data using the kernel invariance algorithm

Journal of Sound and Vibration

Volumn 233, Issue 5, 2000, Pages 877-896

  Billings, S A ^a   Li, L M ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA ACQUISITION; DIFFERENTIAL EQUATIONS; ELECTROMAGNETS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

IMPULSE INVARIANCE METHODS; KERNEL INVARIANCE ALGORITHMS; LINEAR CONTINUOUS TIME MODELS; NONLINEAR CONTINUOUS MODELS;

NONLINEAR CONTROL SYSTEMS;

EID: 0034205478     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2843     Document Type: Article

References (19)

1. YOUNG P. C. Parameter estimation for continuous-time models - a survey. Automatica. 17:1981;23-29.
2. UNBEHUEN H., RAO G. P. Continuous-time approaches to system identification - a survey. Automatica. 26:1990;23-35.
3. A. E. PEARSON, F. C. LEE, 1985a, IEEE Transactions on Automatic Control, AC-30, 778, 782, On the identification of polynomial input-output differential system, 1985, Control Theory Advances in Technology, 1, 239, 266, Parameter identification of linear differential system via Fourier-based modulating functions.
4. A. E. PEARSON, F. C. LEE, 1985a, IEEE Transactions on Automatic Control, AC-30, 778, 782, On the identification of polynomial input-output differential system, 1985, Control Theory Advances in Technology, 1, 239, 266, Parameter identification of linear differential system via Fourier-based modulating functions.
5. HWANG C., SHIH Y. P. Parameter identification via Laguerre polynomials. International Journal of Control. 13:1982;209-217.
6. PARASKEVOPOULOS P. N. Legendre series approach to identification and analysis of linear systems. IEEE Transactions on Automatic Control. 30:1985;585-589.
7. HORNG I. R., CHOU J. H. Analysis, parameter-estimation and optimal-control of time-delay system via Tschebyschef series. International Journal of Control. 41:1985;1221-1234.
8. ZHAO Z. Y., SAGARA S., WADA K. Bias compensated least squares method for identification of continuous-time system from sampled data. International Journal of Control. 53:1991;445-461.
9. SANATHANAN C. K., KOERNER J. Transfer function synthesis as a ratio of two complex polynomials. IEEE Transactions on Automatic Control. AC-8:1963;56-58.
10. WHITEFIELD A. H. Transfer function synthesis using frequency response data. International Journal of Control. 43:1986;1413-1426.
11. OPPENHEIM A. V., SCHAFER R. W. Digital Signal Processing. 1975;Prentice-Hall, Englewood Cliffs.
12. ZHAO X., MARMARELIS V. Z. On the relation between continuous and discrete nonlinear parametric models. Automatica. 33:1997;81-84.
13. TSANG K. M., BILLINGS S. A. Reconstruction of linear and non-linear continuous time models from discrete time sampled data systems. Mechanical Systems and Signal Processing. 6:1992;69-84.
14. SWAIN A K., BILLINGS S. A. Weighted complex orthogonal estimator for identifying linear and non-linear continuous time models from generalised frequency response functions. Mechanical Systems and Signal Processing. 12:1998;269-292.
15. D. W. CLARKE, 1967, IFAC Symposium, System Identification, Prague 1-11, Generalised least squares estimation of the parameters of a dynamic model.
16. SCHETZEN M. The Volterra and Wiener Theories of Non-linear System. 1980;Wiley, New York.
17. BILLINGS S. A., PEYTON JONES J. C. Mapping nonlinear integro-differential equation into the frequency domain. International Journal of Control. 52:1990;863-879.
18. BILLINGS S. A., KORENBERG M. J., CHEN S. Identification of non-linear output-affine systems using an orthogonal least-squares algorithm. International Journal of Systems Science. 19:1988;1559-1568.
19. BILLINGS S. A., VOON W. S. F. Correlation based model validity test for non-linear models. International Journal of Control. 44:1986;235-244.