Robust boundary control of an axially moving string by using a PR transfer function
Robust boundary control of an axially moving string by using a PR transfer function
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DOI：
10.1109/tac.2005.860252
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发表时间：
2005-12
影响因子：
6.8
通讯作者：
Kyung-Jinn Yang;K. Hong;F. Matsuno
中科院分区：
文献类型：
--
作者：
Kyung-Jinn Yang;K. Hong;F. Matsuno
在本文中，研究了一种使用正实数 (PR) 传递函数抑制平移弦振动的方案。琴弦的横向振动由位于琴弦右端的液压接触辊控制。该系统的数学模型由描述运动弦动力学的双曲偏微分方程（PDE）和描述执行器动力学的常微分方程（ODE）组成，是利用汉密尔顿连续体平移原理推导出来的。所提出的边界控制器的传递函数是一个不恰当的 PR 函数。证明了存在输出扰动时闭环系统的渐近稳定性。
In this note, a scheme for the vibration suppression of a translating string using a positive real (PR) transfer function is investigated. The transverse vibration of the string is controlled by hydraulic touch-rolls located at the right end of the string. The mathematical model of the system, which consists of a hyperbolic partial differential equation (PDE) describing the dynamics of the moving string and an ordinary differential equation (ODE) for the actuator dynamics, is derived by using Hamilton's principle for translating continua. The transfer function of the proposed boundary controller is a nonproper but PR function. The asymptotic stability of the closed-loop system in the presence of output disturbance is proved.