Boundary stabilization of a hybrid Euler—Bernoulli beam

1999 ◽  
Vol 109 (4) ◽  
pp. 411-416 ◽  
Author(s):  
Ganesh C. Gorain ◽  
Sujit K. Bose
Keyword(s):  
Boundary Stabilization ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam

Boundary stabilization of a hybrid Euler–Bernoulli beam

2019 ◽  
Vol 99 (16) ◽  
pp. 2917-2926
Author(s):  
Marco A. A. Fernandes ◽  
Miriam S. Carneiro ◽  
Jaime E. Muñoz Rivera
Keyword(s):  
Boundary Stabilization ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

2021 ◽  
pp. 095440622110036
Author(s):  
Jiaqi Zhong ◽  
Xiaolei Chen ◽  
Yupeng Yuan ◽  
Jiajia Tan
Keyword(s):  
Vibration Suppression ◽  
Direct Method ◽  
Recursive Algorithm ◽  
Linear Matrix ◽  
Bernoulli Beam ◽  
Hybrid Controller ◽  
Beam System ◽  
Active Vibration ◽  
Differential Control ◽  
Euler Bernoulli Beam

This paper addresses the problem of active vibration suppression for a class of Euler-Bernoulli beam system. The objective of this paper is to design a hybrid temporal-spatial differential controller, which is involved with the in-domain and boundary actuators, such that the closed-loop system is stable. The Lyapunov’s direct method is employed to derive the sufficient condition, which not only can guarantee the stabilization of system, but also can improve the spatial cooperation of actuators. In the framework of the linear matrix inequalities (LMIs) technology, the gain matrices of hybrid controller can obtained by developing a recursive algorithm. Finally, the effectiveness of the proposed methodology is demonstrated by applying a numerical simulation.

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