A New Method for Determining the Generalised Frequency Response Functions of Nonlinear Systems

Author

Bayma, Rafael Suzuki ; Lang, Z.Q.

Author_Institution

Fac. of Electr. Eng., Fed. Univ. of Para, Belem, Brazil

Volume

59

Issue

12

fYear

2012

Firstpage

3005

Lastpage

3014

Abstract

The Generalised Frequency Response Functions (GFRFs) are important tools for the analysis of nonlinear systems based on the Volterra series approach. A new algorithm for extracting the GFRFs from a nonlinear difference equation model is proposed in this paper. The advantage of the new method over available techniques is that the new method determines the GFRFs using a numerical procedure based on the solution to Diophantine equations. This allows a considerable reduction of computation efforts.

Keywords

Volterra series; frequency response; nonlinear differential equations; nonlinear systems; polynomials; Diophantine equations; GFRF; Volterra series approach; computation effort reduction; generalised frequency response functions; nonlinear difference equation model; nonlinear systems analysis; numerical procedure; Frequency response; Mathematical model; Nonlinear systems; Polynomials; Transforms; Nonlinear systems; Volterra series approach; generalised frequency response functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2012.2206454

Filename

6275450