Lyapunov approach to output feedback stabilization for the Euler–Bernoulli beam equation with boundary input disturbance

Automatica ◽  
2015 ◽  
Vol 52 ◽  
pp. 95-102 ◽  
Author(s):  
Feng-Fei Jin ◽  
Bao-Zhu Guo
Keyword(s):  
Output Feedback ◽  
Feedback Stabilization ◽  
Beam Equation ◽  
Bernoulli Beam ◽  
Lyapunov Approach ◽  
Output Feedback Stabilization ◽  
Input Disturbance ◽  
Euler Bernoulli Beam ◽  
Boundary Input

Output feedback stabilization of the inverted pendulum system: a Lyapunov approach

2012 ◽  
Vol 70 (1) ◽  
pp. 767-777 ◽  
Author(s):  
Carlos Aguilar-Ibáñez ◽  
Miguel S. Suarez-Castanon ◽  
Nareli Cruz-Cortés
Keyword(s):  
Output Feedback ◽  
Inverted Pendulum ◽  
Feedback Stabilization ◽  
Pendulum System ◽  
Lyapunov Approach ◽  
Output Feedback Stabilization ◽  
System A ◽  
Inverted Pendulum System

Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay

2019 ◽  
Vol 25 ◽  
pp. 4 ◽  
Author(s):  
Kun-Yi Yang ◽  
Jun-Min Wang
Keyword(s):  
Time Delay ◽  
Open Loop ◽  
The State ◽  
Feedback Stabilization ◽  
Loop System ◽  
Beam Equation ◽  
Time Interval ◽  
Bernoulli Beam ◽  
Exponentially Stable ◽  
Euler Bernoulli Beam

This paper considers a one-dimensional Euler-Bernoulli beam equation where two collocated actuators/sensors are presented at the internal point with pointwise feedback shear force and angle velocity at the arbitrary position ξ in the bounded domain (0,1). The boundary x = 0 is simply supported and at the other boundary x = 1 there is a shear hinge end. Both of the observation signals are subjected to a given time delay τ ( >0). Well-posedness of the open-loop system is shown to illustrate availability of the observer. An observer is then designed to estimate the state at the time interval when the observation is available, while a predictor is designed to predict the state at the time interval when the observation is not available. Pointwise output feedback controllers are introduced to guarantee the closed-loop system to be exponentially stable for the smooth initial values when ξ ∈ (0, 1) is a rational number satisfying ξ ≠ 2l∕(2m − 1) for any integers l, m. Simulation results demonstrate that the proposed feedback design effectively stabilizes the performance of the pointwise control system with time delay.

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

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