Active vibration optimal control of piezoelectric cantilever beam with uncertainties

被引：10

作者：

Cui, Mingyue ^{[1
,2
]}

Liu, Hongzhao ^{[1
]}

Jiang, Hualong ^{[1
]}

Zheng, Yangbing ^{[1
]}

Wang, Xing ^{[1
]}

Liu, Wei ^{[1
]}

机构：

[1] Nanyang Normal Univ, Coll Mech & Elect Engn, 638 Wolong Rd, Nanyang 47306, Henan, Peoples R China

[2] Minist Educ, Key Lab Ind Internet Things & Networked Control, Chongqing, Peoples R China

来源：

MEASUREMENT & CONTROL | 2022年 / 55卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Piezoelectric cantilever beam; active vibration control; finite element model; linear quadratic regulator; PLATE;

D O I：

10.1177/00202940221091244

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Considering the stiffness characteristics of piezoelectric layer, the bending stiffness of piezoelectric cantilever beam is obtained by applying the first-order shear deformation theory. The finite element model of piezoelectric cantilever beam is established by Hamilton variation principle, and the modal superposition method is employed to reduce the order of the finite element model. At the maximum strain point, the sensors/actuators are equipped in pairs. Based on the uncertain dynamic model of piezoelectric cantilever beam, the independent modal space control method based on LQR (linear quadratic regulator) control is employed for the active control of the smart beam structure, and the weighted matrices Q and R are selected according to the energy criterion. The numerical simulations and experiments verify the effectiveness of the proposed finite element model and the active vibration optimal control.

引用

页码：359 / 369

页数：11

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