LMI-Based Vibration Control Design for Euler–Bernoulli Beam with Uncertain Parameters and Distributed Disturbance

2021 ◽  
pp. 53-80
Author(s):  
Xueyan Xing ◽  
Jinkun Liu
Keyword(s):  
Vibration Control ◽  
Control Design ◽  
Uncertain Parameters ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam

Adaptive inverse backlash boundary vibration control design for an Euler–Bernoulli beam system

2020 ◽  
Vol 357 (6) ◽  
pp. 3434-3450
Author(s):  
Xiuyu He ◽  
Yuhua Song ◽  
Zhiji Han ◽  
Shuang Zhang ◽  
Peng Jing ◽  
...  
Keyword(s):  
Vibration Control ◽  
Control Design ◽  
Bernoulli Beam ◽  
Beam System ◽  
Euler Bernoulli Beam

Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam

2017 ◽  
Vol 24 (1) ◽  
pp. 167-199 ◽  
Author(s):  
Amirouche Berkani ◽  
Nasser-eddine Tatar ◽  
Abdelkarim Kelleche
Keyword(s):  
Vibration Control ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam

Vibration control for the payload at the end of a nonlinear three-dimensional Euler–Bernoulli beam with input constraints

2017 ◽  
Vol 40 (10) ◽  
pp. 3088-3094 ◽  
Author(s):  
Ning Ji ◽  
Jinkun Liu
Keyword(s):  
Control Problem ◽  
Vibration Control ◽  
Three Dimensional ◽  
Elastic Vibration ◽  
Hyperbolic Function ◽  
Input Constraints ◽  
Bernoulli Beam ◽  
Physical Conditions ◽  
Control Scheme ◽  
Euler Bernoulli Beam

In this paper, the vibration control problem for the payload at the end of a three-dimensional Euler–Bernoulli beam in the presence of input constraints and input disturbances is addressed. Disturbance observers are designed to estimate the disturbances on the tip payload. Based on the disturbance observers, a boundary control scheme is designed to suppress elastic vibration for the payload at the end of the beam. The smooth hyperbolic function is applied for the proposed control scheme, which can satisfy physical conditions and input constraints. It is proved that the proposed control scheme can be guaranteed in handling input constraints and disturbances. Finally, numerical simulations illustrate the effectiveness of the results.

scholarly journals Fuzzy Stochastic Vibrations of Double-Beam Complex System as Model Sandwich Beam with Uncertain Parameters

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Krystyna Mazur-Śniady ◽  
Katarzyna Misiurek ◽  
Olga Szyłko-Bigus ◽  
Paweł Śniady
Keyword(s):  
Sandwich Beam ◽  
Uncertain Parameters ◽  
Fuzzy Random Variables ◽  
Bernoulli Beam ◽  
Beam System ◽  
Double Beam ◽  
Stochastic Load ◽  
Euler Bernoulli Beam ◽  
Two Parameter ◽  
Fuzzy Random

The dynamic behavior of a double Euler-Bernoulli beam system with uncertain parameters (fuzzy random variables) under a fuzzy stochastic excitation and axial compression is being considered. The beams are identical and parallel, one is above the other, and they are continuously coupled by a linear two-parameter (Pasternak subsoil) elastic element. This double Euler-Bernoulli beam system can be also treated as a theoretical model of a sandwich beam. The load process is fuzzy random both in space and time. The top beam carries a fuzzy stochastic load. The solution of the problem was found thanks to the fuzzy random dynamic influence function. The aim of the paper is to find the solution for the membership function of the probabilistic characteristics of the response of the structure.

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