Describing functions, Volterra series, and the analysis of non-linear systems in the frequency domain
| Author(s): | James Peyton-Jones, S. A. Billings |
|---|---|
| Year of Publication: | 1991 |
| Journal Title: | International Journal of Control |
| ISSN: | 0020-7179 |
| Volume: | 53 |
| Issue: | 4 |
| Subjects: |
Control Systems, Nonlinear -- Describing Functions Mathematical Techniques |
| Start Page: | 871 |
| End Page: | 887 |
| Abstract: | A relationship between the higher-order frequency response functions of the Volterra series model and the well-known describing function representation for non-linear systems is derived. It is shown that a large class of generalized describing functions can be derived from the Volterra model and that this approach removes the restriction to specific inputs. The concept of a worst case transfer function is introduced, and examples are included to illustrate the results. |
