Stabilization of an Euler‐Bernoulli beam with boundary input delay

2020 ◽  
Author(s):  
Xiaopei Liu ◽  
Genqi Xu ◽  
Hao Chen
Keyword(s):  
Input Delay ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam ◽  
Boundary Input

Stability analysis of Euler-Bernoulli beam with input delay in the boundary control

2010 ◽  
Vol 14 (1) ◽  
pp. 186-196 ◽  
Author(s):  
Ying Feng Shang ◽  
Gen Qi Xu ◽  
Yun Lan Chen
Keyword(s):  
Stability Analysis ◽  
Boundary Control ◽  
Input Delay ◽  
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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