Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems

Dong Dai, Xikui Ma, Bo Zhang, Chi Kong Tse

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


Period-doubling bifurcation and its route to chaos have been thoroughly investigated in voltage-mode and current-mode controlled DC motor drives under simple proportional control. In this paper, the phenomena of Hopf bifurcation and chaos from torus breakdown in a voltage-mode controlled DC drive system is reported. It has been shown that Hopf bifurcation may occur when the DC drive system adopts a more practical proportional-integral control. The phenomena of period-adding and phase-locking are also observed after the Hopf bifurcation. Furthermore, it is shown that the stable torus can breakdown and chaos emerges afterwards. The work presented in this paper provides more complete information about the dynamical behaviors of DC drive systems.
Original languageEnglish
Pages (from-to)1027-1033
Number of pages7
JournalChaos, Solitons and Fractals
Issue number2
Publication statusPublished - 30 Jul 2009

ASJC Scopus subject areas

  • Mathematics(all)

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