Active vibration control of a nonlinear three-dimensional Euler-Bernoulli beam

被引：23
作者：
He, Wei [1 ]
Yang, Chuan [2 ,3 ]
Zhu, Juxing [4 ]
Liu, Jin-Kun [4 ]
He, Xiuyu [2 ,3 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu, Sichuan, Peoples R China
[3] Univ Elect Sci & Technol China, Ctr Robot, Chengdu, Sichuan, Peoples R China
[4] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing, Peoples R China
来源：
JOURNAL OF VIBRATION AND CONTROL | 2017年 / 23卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Euler-Bernoulli beam; flexible structures; vibration control; boundary control; adaptive control; OUTPUT-FEEDBACK STABILIZATION; BOUNDARY CONTROL; ADAPTIVE-CONTROL; LEARNING CONTROL; SYSTEMS; DISTURBANCE; CONSTRAINT; DYNAMICS; EQUATION; TENSION;
D O I：
10.1177/1077546315627722
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, boundary control is designed to suppress the vibration of a nonlinear three-dimensional Euler-Bernoulli beam. Considering the coupling effect between the axial deformation and the transverse displacement, the dynamics of the beam are modeled as a distributed parameter system described by three partial differential equations (PDEs) and 12 ordinary differential equations (ODEs). Firstly, model-based boundary control is designed based on a mathematical model of the system. Subsequently, adaptive control is proposed when there are parameter uncertainties in the model. The uniform boundedness and uniform ultimate boundedness are proved under the proposed control laws. Finally, numerical simulations illustrate the effectiveness of the results.
引用
收藏
页码：3196 / 3215
页数：20
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