On the form of feedback function that can lead to chaos in discontinuous-mode DC/DC converters

William C Y Chan, Chi Kong Tse

Research output: Journal article publicationConference articleAcademic researchpeer-review

14 Citations (Scopus)


In this paper we study the conditions for the dc/dc boost and buck switching regulators operating in discontinuous conduction mode to possibly undergo a period-doubling route to chaos. The essential mathematical tool is the Schwarzian derivative. The result helps determine the form of feedback control scheme for which a period-doubling route to chaos may exist. Results from the calculations reveal that these two types of converters share the same set of conditions. Specifically, any monotonically decreasing control function with a sufficiently large small-signal gain may give rise to a period-doubling cascade in both the boost and the buck dc/dc switching regulators. The analysis in principle can be applied to other types of converters operating in discontinuous conduction mode.
Original languageEnglish
Pages (from-to)1317-1322
Number of pages6
JournalPESC Record - IEEE Annual Power Electronics Specialists Conference
Publication statusPublished - 1 Jan 1997
EventProceedings of the 1997 28th Annual IEEE Power Electronics Specialists Conference, PESC. Part 1 (of 2) - St.Louis, CA, United States
Duration: 23 Jun 199726 Jun 1997

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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