Stability analysis and control of bifurcations of parallel connected DC/DC converters using the monodromy matrix

Abdulmajed Elbkosh, Damian Giaouris, Volker Pickert, Bashar Zahawi, Soumitro Banerjee

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

The paper studies the stability of parallel DC/DC converters using the concept of monodromy matrix (the state transition matrix for one complete cycle), whose eigenvalues are the Floquet multipliers. This matrix is composed of the state transition matrices for the smooth intervals and those across the switching events (called saltation matrices). We show that instabilities in this system can be caused by smooth as well as nonsmooth period doubling bifurcations, the latter occurring when the fundamental solution matrix undergoes a discontinuous jump as a periodic solution touches a nonsmooth hyper-surface of discontinuity. Based on the expression for the saltation matrices (the state transition matrices across switching events) we propose new controllers that can stabilize the period-1 operation by keeping the eigenvalues inside the unit circle.

Original languageBritish English
Title of host publication2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages556-559
Number of pages4
ISBN (Print)9781424416844
DOIs
StatePublished - 2008
Event2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008 - Seattle, WA, United States
Duration: 18 May 200821 May 2008

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)0271-4310

Conference

Conference2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
Country/TerritoryUnited States
CitySeattle, WA
Period18/05/0821/05/08

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