Modeling and Vibration Control for a Nonlinear Moving String With Output Constraint
Modeling and Vibration Control for a Nonlinear Moving String With Output Constraint
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DOI：
10.1109/tmech.2014.2358500
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Wei He;S. Ge;Deqing Huang
中科院分区：
文献类型：
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作者：
Wei He;S. Ge;Deqing Huang
本文针对一个非线性垂直运动弦系统，提出了边界控制律以稳定其横向振动。所考虑的控制系统具有可变长度、可变速度以及受限的边界输出。基于积分障碍李雅普诺夫函数，在不考虑扰动的情况下，证明了所提出的控制具有指数稳定性。当考虑外部边界扰动时，设计了扰动观测器以消除其影响。通过适当选择控制参数，可调节振动，并且边界输出始终保持在受限空间内。控制设计和稳定性分析基于原始的无穷维动力学方程。大量的数值例子说明了控制系统的性能。
In this paper, boundary control laws are developed to stabilize the transverse vibration for a nonlinear vertically moving string system. The control system is considered with varying length, varying speed, and the constrained boundary output. Based on the integral-barrier Lyapunov function, the exponential stability is proved with the proposed control without consideration of the disturbance. When the external boundary disturbance is taken into account, the disturbance observer is designed to eliminate its effect. The vibration is regulated and the boundary output always remains in the constrained space by appropriately choosing the control parameters. The control design and the stability analysis are based on the original infinite-dimensional dynamic equations. Extensive numerical examples illustrate the performance of the control system.