Gain bounds of higher-order nonlinear transfer functions

International Journal of Control

Volumn 64, Issue 4, 1996, Pages 767-773

  Zhang, H ^a,b   Billings, S A ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b Predictive Control Limited   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; TRANSFER FUNCTIONS;

GAIN BOUNDS; TRUNCATION;

NONLINEAR CONTROL SYSTEMS;

EID: 0030193901     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921655     Document Type: Article

References (15)

1. Billings, S. A., 1985, An overview of nonlinear systems identification. Proceedings of the Seventh I FAC Symposium on Identification System Parameter Estimation, 1985, pp. 725-729.
2. Billings, S. A., and Tsang, K. M., 1989, Spectral analysis for nonlinear systems-Part I: Parametric nonlinear spectral analysis. Journal of Mechanical Systems and Signal Processing, 3, 319-339.
3. Bussgang, J. J., Ehrman, L., and Graham, J. W., 1974, Analysis of nonlinear systems with multiple inputs. Proceedings of the Institute of Electrical and Electronics Engineers, 62, 1088-1119.
4. Chen, S., and Billings, S. A., 1989, Representations of nonlinear systems: the NARMAX model. International Journal of Control, 49, 1013-1032.
5. Chua, L. O., and Liao, Y., 1991, Measuring Volterra kernels HI: how to estimate the highest significant order. International Journal of Circuit Theory and Applications, 19, 189-206.
6. Chua, L. O., and Ng, C. Y., 1979, Frequency domain analysis of nonlinear systems: general theory. Proceedings of the Institution of Electrical Engineers, Pt G, 3, 165-185.
7. Hong, J. Y., Kim, Y. C, and Powers, E. J., 1980, On modelling the nonlinear relationship between fluctuations with nonlinear transfer functions. Proceedings of the Institute of Electrical and Electronics Engineers, 64, 1026-1027.
8. Leontaritis, I. J., and Billings, S. A., 1985a, Input-output parametric models for non-linear systems Part 1: Deterministic non-linear systems. International Journal of Control, 41, 303-328
9. Mitzel, G., Clancy, S., and Rugh, W., 1979, On transfer function representations for homogeneous nonlinear systems. IEEE Transactions on Automatic Control, 24,242-249.
10. Peyton Jones, J. C, and Billings, S. A., 1989, A recursive algorithm for computing the frequency response of a class of nonlinear difference equation models. International Journal of Control, 50, 1925-1940.
11. Rugh, W. J., 1981, Nonlinear System Theory-The Volterra/Wiener Approach (Baltimore, Maryland: Johns Hopkins University Press).
12. Sain, P. M., Sain, M. K., and Michel, A. N., 1991, Higher order methods for nonlinear feedback design. Proceedings of the 33rd Midwest Symposium on Circuits and Systems, 1991, Vol. 1, pp. 68-71.
13. Vinh, T., Chouychai, T., Liu, H., and Djouder, M., 1987, Second order transfer function: computation and physical interpretation. Proceedings of the Fifth IMAC Symposium, London, 1987.
14. Weiner, D. D., and Spina, J. F., 1980, Sinusoidal Analysis and Modelling of Weakly Nonlinear Circuits (New York: Van Nostrand).
15. Zhang, H., and Billings, S. A., 1993a, FREP/R: A Package for Computation of Nonlinear Transfer Functions-User's Manual (University of Sheffield); 1993b, Analysing the transfer function of nonlinear systems in the frequency domain Part I. Journal of Mechanical Systems and Signal Procesing, 1, 531-550.