Bifurcation Analysis of Switched Dynamical Systems With Periodically Moving Borders

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Original languageEnglish
Pages (from-to)1184-1193
Journal / PublicationIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number6
Online published14 Jun 2004
Publication statusPublished - Jun 2004
Externally publishedYes


This paper describes a method for analyzing the bifurcation phenomena in switched dynamical systems whose switching borders are varying periodically with time. The type of systems under study covers most of power electronics circuits where two or more dynamical systems are cyclically switched according to the interaction of the state variables and some periodically moving borders. In particular, the complex bifurcation behavior of a voltage feedback buck converter is studied in detail. The analytical method developed in this paper allows bifurcation scenarios to be clearly revealed in any chosen parameter space.

Research Area(s)

  • Bifurcation, Border collision, Buck converter, Moving border, Switched dynamical system, Switching converter