Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
复制标题
边界控制和非同位观测下欧拉-伯努利梁的动态稳定
DOI：
10.1016/j.sysconle.2008.02.004
复制
发表时间：
2008-09-01
影响因子：
2.6
通讯作者：
Yang, Kun-Yi
中科院分区：
文献类型：
--
作者：
Guo, Bao-Zhu;Wang, Jun-Min;Yang, Kun-Yi
研究了Euler-Bernoulli梁系统在自由端采用边界力控制，在固支端采用弯曲应变观测的动力稳定性问题。我们构造了一个无限维观测器来指数跟踪状态。设计了基于状态估计的比例输出反馈控制器。闭环系统被证明是非耗散的，但承认一组广义本征函数，形成了Riesz基础的状态空间。作为推论，得到了谱决定增长条件和指数稳定性。(C)2008 Elsevier B. V.保留所有权利。
We study the dynamic stabilization of an Euler-Bernoulli beam System using boundary force control at the free end and bending strain observation at the clamped end. We construct an infinite-dimensional observer to track the state exponentially. A proportional output feedback control based on the estimated state is designed. The closed-loop system is shown to be non-dissipative but admits a set of generalized eigenfunctions, which forms a Riesz basis for the state space. As consequences, both the spectrum-determined growth condition and exponential stability are concluded. (C) 2008 Elsevier B.V. All rights reserved.