Abstract
The notion of frequency response functions has been generalized to nonlinear systems
in several ways. However, a relation between different approaches has not yet been established.
In this paper, frequency domain representations for nonlinear systems are uniquely connected.
Specifically, by means of novel analytical results, the generalized frequency response function
(GFRF) and the higher order sinusoidal input describing function (HOSIDF) for polynomial
Wiener-Hammerstein systems are explicitly related. Necessary and sufficient conditions for this
relation to exist and results on uniqueness and equivalence of the HOSIDF and GFRF are
provided. Finally, a numerically efficient computational procedure is presented that allows to
compute the GFRF from the HOSIDF and vice versa.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 16th IFAC Symposium on System Identification, 11-13 July 2012, Brussels |
| Editors | M. Kinnaert |
| Place of Publication | S.l. |
| Publisher | IFAC |
| Pages | 280-285 |
| ISBN (Print) | 978-3-902823-06-9 |
| Publication status | Published - 2012 |