New results on the generalized frequency response functions of nonlinear volterra systems described by NARX model

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Jing, X.J. ; Lang, Z.Q. ; Billings, S.A. (2008)
  • Publisher: Automatic Control and Systems Engineering, University of Sheffield

In order that the nth-order Generalized Frequency Response Function (GFRF) for nonlinear systems described by a NARX model can be directly written into a more straightforward and meaningful form in terms of the first order GFRF and model parameters, the nth-order GFRF is now determined by a new mapping function based on a parametric characteristic. This can explicitly unveil the linear and nonlinear factors included in the GFRFs, reveal clearly the relationship between the nth-order GFRF and the model parameters, and also the relationship between the nth-order GFRF and the first order GFRF. Some new properties of the GFRFs can consequently be developed. These new results provide a novel and useful insight into the frequency domain analysis of nonlinear systems.
  • References (7)

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    X.J. Jing, Z.Q. Lang and S.A. Billings (2007), “New Bound Characteristics of NARX Model in the Frequency Domain”, International Journal of Control, 80(1), pp140- 149

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