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 -