Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems
Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems
复制标题
电压模式控制直流驱动系统中的 Hopf 分岔和环面击穿引起的混沌
DOI：
10.1016/j.chaos.2008.04.053
复制
发表时间：
2009-07-30
影响因子：
7.8
通讯作者：
Tse, Chi K.
中科院分区：
文献类型：
--
作者：
Dai, Dong;Ma, Xikui;Tse, Chi K.
研究了简单比例控制下电压模式和电流模式控制直流电动机驱动系统的倍周期分岔及其通向混沌的途径。本文研究了电压模式控制直流调速系统中由环面击穿引起的Hopf分岔和混沌现象。结果表明，当直流调速系统采用更实用的比例积分控制时，可能会出现Hopf分岔。在分岔后还观察到加周期和锁相现象。此外，还证明了稳定的环面可以崩溃，然后出现混沌。本文的工作提供了更完整的信息，直流传动系统的动态行为。(C)2008爱思唯尔有限公司保留所有权利。
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. (C) 2008 Elsevier Ltd. All rights reserved.