An Optimal Control for a Flexible Beam With Shear Force Feedback

被引：0

作者：

Weng, Shiyou ^{[1
]}

Gao, Haiyin ^{[2
]}

Hou, Xuezhang ^{[3
]}

机构：

[1] Suzhou Vocat Univ, Dept Basic Course, Suzhou 215104, Jiangsu, Peoples R China

[2] NE Normal Univ, Coll Humanities & Sci, Changchun 130117, Jilin, Peoples R China

[3] Towson Univ, Dept Math, Baltimore, MD 21252 USA

来源：

2014 IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION (ICIA) | 2014年

关键词：

Flexible beam; Optimal control; Spectral analysis; semigrop of linear operators; CONNECTED BEAMS; RIESZ BASIS; STABILIZATION; EQUATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A flexible Euler-Bernoulli beam formulated by partial differential equations subject to the boundary shear force feedback is investigated in this paper. An abstract evolution equation corresponding to the beam system is established in an appropriate Hilbert space. A spectral analysis and semigroup generation of the system operator of the beam system are discussed. Finally, an optimal control with minimum norm is proposed and discusses. The existence and uniqueness of the optimal control are proposed and proved, and an approximation theorem is obtained in terms of semigroup methods of operators. A simulation result is shown in the paper.

引用

页码：235 / 239

页数：5

共 15 条

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