Weighted complex orthogonal estimator for identifying linear and non-linear continuous time models from generalised frequency response functions

Mechanical Systems and Signal Processing

Volumn 12, Issue 2, 1998, Pages 269-292

  Swain, A K ^a   Billings, S A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; FREQUENCY RESPONSE; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS;

WEIGHTED COMPLEX ORTHOGONAL ESTIMATOR;

PARAMETER ESTIMATION;

EID: 0032026962     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1997.0146     Document Type: Article

References (24)

1. L. LJUNG and K. GLOVER 1981 Automatica 17, 71-86. Frequency domain versus time domain methods in system identification.
2. E. C. LEVY 1959 IRE Transactions on Automatic Control 4, 37-43. Complex curve fitting.
3. P. A. PAYNE 1970 IEEE Transactions on Automatic Control, 480-483. An improved technique for transfer function synthesis from frequency repsonse data.
4. P. J. LAWRENCE and G. J. ROGERS 1969 Proceedings of the IEE 126, 104-106. Sequential transfer function synthesis from measured data.
5. H. STAHL 1984 International Journal of Control 39, 541-550. Transfer function synthesis using frequency response data.
6. A. H. WHITfiELD 1986 International Journal of Control 43, 1413-1426. Transfer function synthesis using frequency response data.
7. A. H. WHITfiELD 1987 International Journal of Control 43, 1413-1426. Asymptotic behaviour of transfer function synthesis methods.
8. K. I. KIM and E. J. POWERS 1988 IEEE Transactions ASSP 36, 1758-1769. A digital method of modelling quadratically nonlinear systems with a general random input.
9. S. A. BILLINGS and K. M. TSANG 1989 Mechanical Systems and Signal Processing 3, 319-339. Spectral analysis for nonlinear systems, part I. Parametric nonlinear analysis.
10. J. C. PEYTON JONES and S. A. BILLINGS 1989 International Journal of Control 50, 1925-1940. A recursive algorithm for computing the frequency response of a class of nonlinear difference equation models.
11. K. M. TSANG and S. A. BILLINGS 1992 International Journal of Science Systems 23, 1011-1018. An orthogonal estimation algorithm for complex number systems.
12. K. M. TSANG and S. A. BILLINGS 1992 Mechanical Systems and Signal Processing 6, 69-84. Reconstruction of linear and nonlinear continuous time models from discrete time sampled data systems.
13. R. DEUTSCH 1965 Estimation Theory. Englewood Cliffs, NJ. Prentice Hall.
14. S. A. BILLINGS and W. S. F. VOON 1986 International Journal of Control 44, 235-244. Correlation based model validity tests for nonlinear models.
15. S. A. BILLINGS and Q. ZHU 1993 International Journal of Control 59, 1439-1463. A structure detection algorithm for nonlinear dynamic rational model.
16. S. A. BILLINGS and J. C. PEYTON JONES 1990 International Journal of Control 52, 863-879. Mapping nonlinear integro-differential equations into the frequency domain.
17. S. A. BILLINGS, M. J. KORENBERG and S. CHEN 1998 International Journal of System Science 9, 1559-1568. Identification of nonlinear output affine systems using an orthogonal least square algorithm.
18. S. A. BILLINGS, S. CHEN and M. J. KORENBERG 1989 International Journal of Control 49, 2157-2189. Identification of MIMO nonlinear systems using a forward regressor orthogonal estimator.
19. Q. ZHU and S. A. BILLINGS 1996 International Journal of Control 64, 871-886. Fast orthogonal identification of nonlinear stochastic models and radial basis function neural network.
20. P. LANCASTER and S. KESTUTIS 1986 Curve and Surface Fitting: An Introduction. New York: Academic Press.
21. D. E. NEWLAND 1989 Mechanical Vibration Analysis and Computation. Longman Scientific & Technical Publications.
22. I. J. LEONTARITIS and S. A. BILLINGS 1985 International Journal of Control 41, 303-344. Input-output parametric models for non-linear systems, part I. Deterministic nonlinear systems; and part II: Stochastic nonlinear systems.
23. F. C. MOON 1987 Chaotic Vibrations - An Introduction for Applied Scientists and Engineers. New York: John Wiley.
24. L. A. AGUIRRE and S. A. BILLINGS 1995 International Journal of Bifurcation and Chaos 5, 449-474. Retrieving dynamical invariants from chaotic data using NARMAX models.