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.
|Number of pages||6|
|Journal||International Journal of Circuit Theory and Applications|
|Publication status||Published - 1 May 1998|
ASJC Scopus subject areas
- Electrical and Electronic Engineering