Interacting bifurcations in switching systems

Y. Chen, Chi Kong Tse, W. Schwarz, S.S. Qiu

Research output: Unpublished conference presentation (presented paper, abstract, poster)Conference presentation (not published in journal/proceeding/book)Academic researchpeer-review


We study a class of switching systems whose dynamics are characterized by an inner switching feedback loop and an outer continuous control loop. The loops have two widely separated time scales, performing fast-scale and slow-scale dynamics accordingly. Treating the two time scales separately, the stability of the systems can be studied, with results focusing on fast-scale bifurcation and slow-scale bifurcation. In current-mode controlled switching converters, period-doubling has been identified as fastscale bifurcation whereas Hopf type bifurcation has been found as slow-scale bifurcation. However, in practice, the fast-scale and the slow-scale dynamics are interacting because the inner loop that is responsible for the fast-scale dynamics is actually controlled by the slow-scale outer feedback. This paper investigates the coexisting fast-scale and slow-scale bifurcations in simple dc/dc converters under peak current-mode control operating in continuous conduction mode. Boundaries of stable region, slow-scale bifurcation region, fast-scale bifurcation region, coexisting fast and slow-scale bifurcation region are identified.
Original languageEnglish
Number of pages4
Publication statusPublished - 2008
EventInternational Symposium on Nonlinear Theory and Its Applications [NOLTA] -
Duration: 1 Jan 2008 → …


ConferenceInternational Symposium on Nonlinear Theory and Its Applications [NOLTA]
Period1/01/08 → …

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