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

Dong Dai; Xikui Ma; Bo Zhang; Chi K. Tse

doi:10.1016/j.chaos.2008.04.053

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

Dong Dai^*, Xikui Ma, Bo Zhang, Chi K. Tse

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

12 Citations (Scopus)

Abstract

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. © 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1027-1033
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	2
Online published	10 Jun 2008
DOIs	https://doi.org/10.1016/j.chaos.2008.04.053
Publication status	Published - 30 Jul 2009
Externally published	Yes

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title = "Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems",

abstract = "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. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

author = "Dong Dai and Xikui Ma and Bo Zhang and Tse, {Chi K.}",

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TY - JOUR

T1 - Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems

AU - Dai, Dong

AU - Ma, Xikui

AU - Zhang, Bo

AU - Tse, Chi K.

PY - 2009/7/30

Y1 - 2009/7/30

N2 - 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. © 2008 Elsevier Ltd. All rights reserved.

AB - 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. © 2008 Elsevier Ltd. All rights reserved.

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U2 - 10.1016/j.chaos.2008.04.053

DO - 10.1016/j.chaos.2008.04.053

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 41

SP - 1027

EP - 1033

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

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

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Corrigendum to "Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems" [Chaos, Solitons & Fractals. Volume 41 (2009) 1027-1033]

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