Euler-Bernoulli梁的反馈镇定
Feedback Stabilization of Euler-Bernoulli Beam
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摘要: 讨论端点带负荷的Bernoulli梁的横向振动的控制问题.分析了系统的谱结构,提出一 种非线性边界反馈来镇定梁的横向振动,并证明了相应的闭环系统的渐近稳定性,最后给出 了一些数值模拟结果.
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关键词:
- Euler-Bernoulli梁 /
- 谱结构 /
- 非线性边界控制 /
- 反馈镇定 /
- 渐近稳定性
Abstract: This paper deals with the control problem of the bending vibration for an Euler-Bernoulli beam with massive end-point by nonlinear boundary feedback. At first, the spectral structure of the system is analyzed. Then, a nonlinear feedback control on the boundary is proposed to stabilize the transverse vibration of the beam, and the asymptotic stability is proved for the corresponding closed loop system. Finally, some simulation results are presented. -
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