Sliding mode vibration control of Euler–Bernoulli beam with unknown bounded disturbances

2021 ◽  
Vol 96 ◽  
pp. 107504
Author(s):  
Yifei Ma ◽  
Xuyang Lou ◽  
Wei Wu
Keyword(s):  
Vibration Control ◽  
Sliding Mode ◽  
Bernoulli Beam ◽  
Bounded Disturbances ◽  
Mode Vibration ◽  
Euler Bernoulli Beam

Sliding Mode Control for a Membrane Mirror Strip Actuated Using Multiple Smart Actuators

2007 ◽  
Author(s):  
Jamil M. Renno ◽  
C. Konda Reddy ◽  
Daniel J. Inman ◽  
Eric J. Ruggiero
Keyword(s):  
Sliding Mode ◽  
Fiber Composite ◽  
Tensile Load ◽  
Control Law ◽  
Bernoulli Beam ◽  
Finite Dimensional ◽  
Dimensional State Space ◽  
Euler Bernoulli Beam ◽  
Mode Technique ◽  
Membrane Strip

The sliding mode technique is used to control the deformation of a membrane mirror strip. A membrane mirror strip is augmented with two macro fiber composite (MFC) bimorphs. The first bimorph is actuated in bending whereas the second is actuated in tension. Membrane strips are usually tensioned uniformly. However, the presence of the tension bimorphs induces a local tension at its location. The membrane strip is modeled as an Euler-Bernoulli beam under tensile load, whereas the MFCs are modeled as monolithic piezoceramics. To cast the system into a finite dimensional state space form, the finite elements method (FEM) is used. The control action is switched when the membrane strip approaches its original undeformed shape. Simulation results demonstrate the effectiveness of the proposed control law.

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.

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