WHAT FORM OF CONTROL FUNCTION CAN DRIVE A DISCONTINUOUS-MODE BOOST CONVERTER TO CHAOS VIA PERIOD-DOUBLING?

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)281-286
Journal / PublicationInternational Journal of Circuit Theory and Applications
Volume26
Issue number3
Publication statusPublished - May 1998
Externally publishedYes

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.

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