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Publisher: Automatic Control and Systems Engineering, University of Sheffield
Languages: English
Types: Book
Subjects:
The output frequency response function (OFRF) of nonlinear systems is a new concept, which defines an analytical relationship between the output spectrum and the parameters of nonlinear systems. In the present study, the parametric characteristics of the OFRF for nonlinear systems described by a polynomial form differential equation model are investigated based on the introduction of a novel coefficient extraction operator. Important theoretical results are established, which allow the explicit structure of the OFRF for this class of nonlinear systems to be readily determined, and reveal clearly how each of the model nonlinear parameters has its effect on the system output frequency response. Examples are provided to demonstrate how the theoretical results are used for the determination of the detailed structure of the OFRF. Simulation studies verify the effectiveness and illustrate the potential of these new results for the analysis and synthesis of nonlinear systems in the frequency domain.
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    • Bendat J.S.(1990), Nonlinear System Analysis and Identification from Random Data, New York: Wiley.
    • Boyd S. and Chua L. O.(1985), Fading memory and the problem of approximating nonlinear operators with Volterra series, IEEE Trans. Circuits Syst., vol. CAS-32, 1150--1161, Nov.
    • Bedrosian E. and Rice S. O., (1971), The output properties of Volterra systems driven by harmonic and Gaussian inputs. Proceedings of the Institute of Electrical and Electronics Engineering, 59, 1688-1707
    • Corduneanu C. and Sandberg I.W. (2000), Volterra equations and applications. Singapore: Gordon and breach science publishers
    • George D.A.(1959), Continuous nonlinear systems, Technical Report 355, MIT Research Laboratory of Electronics, Cambridge, Mass. Jul. 24.
    • Jing X.J., Lang Z.Q. and Billings S.A. (2006a). Frequency Domain Analysis Based Nonlinear Feedback Control for Suppressing Periodic Disturbance. The 6th World Congress on Intelligent Control and Automation, June 21-23, Dalian, China (A full version was submitted to Inter. Jour. Of Cont.)
    • Jing X.J., Lang Z.Q. Billings S.A. and Tomlinson G. R. (2006b). The parametric characteristic of frequency response functions for nonlinear systems. To appear in International Journal of Control, Vol. 79, No. 12, Dec 2006, 1552-1564
    • Khalil H. K. (2002), Nonlinear systems, Third edition, New York: Prentice Hall Press
    • Kim K.I., and Powers E.J., (1988), A digital method of modelling quadratic nonlinear systems with a general random input. IEEE Trans. Acoustics, Speech and Signal Processing, 36, 1758-1769
    • Lang Z.Q., and Billings S. A.(1996). Output frequency characteristics of nonlinear systems. International Journal of Control, Vol. 64, 1049-1067
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