Title :
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
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2012.2206454
