Abstract
The form of feedback control that may lead to a period-doubling route to chaos in the boost switching regulator operating in discontinuous conduction mode is studied. A sufficient condition for the system to possess a negative Schwarzian derivative is derived. This turns out to be a very simple condition requiring the magnitude of the small-signal feedback gain to be large enough. The possession of a negative Schwarzian derivative in turn is necessary for the exhibition of period-doubling cascades. Thus, the condition on the control function that may possibly lead to a period-doubling cascade in the boost regulator operating in discontinuous mode is found.
| Original language | English |
|---|---|
| Pages (from-to) | 281-286 |
| Number of pages | 6 |
| Journal | International Journal of Circuit Theory and Applications |
| Volume | 26 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 May 1998 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering