| Euler-Bernoulli梁的非线性耗散边界反馈镇定 |
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| 引用本文： | 阎庆旭,谢宇,冯德兴.Euler-Bernoulli梁的非线性耗散边界反馈镇定[J].自动化学报,2003,29(1):1-7. |
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| 作者姓名： | 阎庆旭 谢宇 冯德兴 |
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| 作者单位： | 1.中国科学院数学与系统科学研究院系统科学研究所,北京 |
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| 基金项目： | SupportedbytheNSFC (6 0 1740 0 8) |
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| 摘 要： | 讨论具有非线性耗散边界反馈的Euler-Bernoulli梁的镇定问题.首先利用非线性半群
理论和能量摄动方法,证明了文中所给出的非线性耗散边界反馈控制可以镇定闭环系统的能量，
并导出了闭环系统的能量衰减速度.然后用例子说明文中所给出的非线性耗散边界反馈控制具
有较强的实用性.
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| 关 键 词： | Euler-Bernoulli梁 非线性边界反馈镇定 非线性半群 能量摄动法 |
| 收稿时间： | 2001-7-15 |
Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam |
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| YAN Qing-Xu,XIE Yu,FENG De-Xing.Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam[J].Acta Automatica Sinica,2003,29(1):1-7. |
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| Authors: | YAN Qing-Xu XIE Yu FENG De-Xing |
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| Affiliation: | 1.Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing |
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| Abstract: | The stabilization problem of Euler-Bernoulli beam via nonlinear boundary dissipative feedback is considered. Firstly, by virtue of nonlinear semigroup theory and energy-perturbed method, it is shown that the vibration of the beam under the proposed control action decays exponentially or in negative power of time. Then, some examples are given to show that the nonlinear boundary control considered in this paper is efficient and practical. |
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| Keywords: | Euler-Bernoulli beam nonlinear boundary feedback control nonlinear C 0 semigroups exponential stability multiplier method |
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