Boundary Control of Axially Moving Continua : Application to a Zinc Galvanizing Line
Boundary Control of Axially Moving Continua : Application to a Zinc Galvanizing Line
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DOI：
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发表时间：
2005-12
影响因子：
3.2
通讯作者：
Chang-Won Kim;Hahn Park;K. Hong
中科院分区：
文献类型：
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作者：
Chang-Won Kim;Hahn Park;K. Hong
本文研究了轴向运动的张拉弹性弦的振动主动控制问题。平移管柱的动力学用一个非线性偏微分方程组和一个常微分方程组相耦合来描述。提出了抑制平移连续体横向振动的右边界控制方法。通过李亚普诺夫第二方法推导出控制律。验证了闭环系统的指数稳定性。对所提出的控制律的有效性进行了仿真。
In this paper, an active vibration control of a tensioned, elastic, axially moving string is investigated. The dynamics of the translating string are described with a non-linear partial differential equation coupled with an ordinary differential equation. A right boundary control to suppress the transverse vibrations of the translating continuum is proposed. The control law is derived via the Lyapunov second method. The exponential stability of the closed-loop system is verified. The effectiveness of the proposed control law is simulated.